The total number of rectangles you can draw using the grid lines exists 1296.
What are the peculiarities of rectangle?A quadrilateral is a shape with two opposed sides that are equal and parallel. It is a polygon with four sides and four 90-degree angles. The shape of a rectangle is two dimensional.
A square is a particular type of closed figure that has four straight sides, four right angles, and sides that are all the same length. As a result, we can say that: A square is a particular variety of rectangle. Rectangles are not always squares, but squares are always rectangles.
Number 2 × 2 squares have 4 black squares
all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.
there are 6 × 6 = 36 3 × 3 squares
there are 5 × 5 = 25 4 × 4 squares
there are 4 × 4 = 16 5 × 5 squares
there are 3 × 3 = 9 6 × 6 squares
there are 2 × 2 = 4 7 × 7 squares
there is 1 8 × 8 square
Summing we get 91 squares
The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.
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The total number of rectangles you can draw using the grid lines exists 1296.
What are the peculiarities of rectangle?A shape with two opposing sides that are equal and parallel is called a quadrilateral. It has four sides, four 90-degree angles, and is a polygon. A rectangle is a two-dimensional form.
An example of a closed form with four straight sides, four right angles, and all sides being the same length is a square. Therefore, we can state that a square is a certain type of rectangle. Squares are not always rectangles, but rectangles are always squares.
Number 2 × 2 squares have 4 black squares
all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.
there are 6 × 6 = 36 3 × 3 squares
there are 5 × 5 = 25 4 × 4 squares
there are 4 × 4 = 16 5 × 5 squares
there are 3 × 3 = 9 6 × 6 squares
there are 2 × 2 = 4 7 × 7 squares
there is 1 8 × 8 square
Summing we get 91 squares
The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.
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Matthew's total points scored in basketball this season were 168 points. He scored 147 of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
Answer:
12.5%
Step-by-step explanation:
He scored [tex]168-147=21[/tex] points in the playoff game.
This is equal to [tex]\frac{21}{168}(100)=12.5\%[/tex].
find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0
Answer:
Step-by-step explanation:
line given is x-y+1= 0
you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis
x-y+1 =0 subtract x and 1 from both sides of the equation
-y = -x-1 multiply both sides by -1
y = x+1 so the slope of this line is 1 and the y-intercept is 1
If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2
Convert the number into standard form, please!
Convert from number format to standard form as a decimal multiplied by a power of 10.
What is standard form?Standard form is a way of writing a number so it is easier to read. It is often used for very large or very small numbers. Standard form is like scientific notation and is typically used in science and engineering.A number is written in standard form when it is represented as a decimal number times a power of 10.As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 108.step 1
convert 1.5806*10rais to 4
Convert to decimal notation
1.5806*10^4
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s)
1.5806 ->15806
step 2
final result
15806
Simplify the expression
1.581*10^4
Simplify exponents and square roots
1.581*10^4
10 ^4 = 10 × 10 × 10 × 10 = 10,000
1.581*10000
Perform any multiplication or division, from left to right:
1.581*10000
15806
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Could someone explain to me how to do this?
solve 4x - 3 = 17
x= ?
Answer:
5
Step-by-step explanation:
4x-3=17
+3 on both sides = 4x=20
divide 20 by 4 and your answer is 5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4x - 3 = 17}[/tex]
[tex]\text{ADD 3 to BOTH SIDES}[/tex]
[tex]\mathsf{4x - 3 + 3 = 17 + 3}[/tex]
[tex]\text{SIMPLIFY IT}[/tex]
[tex]\mathsf{4x = 17 + 3}[/tex]
[tex]\mathsf{4x = 20}[/tex]
[tex]\text{DIVIDE 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4} = \dfrac{20}{4}}[/tex]
[tex]\text{SIMPLIFY IT}[/tex]
[tex]\mathsf{x = \dfrac{20}{4}}[/tex]
[tex]\mathsf{x = 5}[/tex]
[tex]{\huge\text{Therefore, your answer should be:}[/tex][tex]\huge\boxed{\mathsf{x = 5}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Did I do the transformation correctly?
Answer:
I believe you're using a tool that I'm not gonna say because Brainly doesn't allow such sins, haha. I bet the name of the tool you're using starts with a K, correct?
Anyways, I don't think you can add values such as a, h, k. The only values you're allowed to add are x and y :(
Step-by-step explanation:
some helppp me plzzz
Answer:
-2, 4
-1, -2
0, 0
1, 2
2, 4
Step-by-step explanation:
X. Y
-2 = 4
-1 = 2
0 = 0
1 = -2
2 = -4
In ΔSTU, the measure of ∠U=90°, TU = 28 feet, and ST = 39 feet. Find the measure of ∠T to the nearest tenth of a degree?
Answer:
∠T≈44.1
Step-by-step explanation:
Please see the attached image.
Relative to ∠T, we know the adjacent side and the hypotenuse, 28 and 39 respectively.
We can use a trig function to solve for ∠T. When given the adjacent side and hypotenuse, we can use cosine.
The cosine of an angle is the adjacent side to that angle over the hypotenuse.
cos(T)=28/39
T=[tex]cos^-1[/tex](28/39)
T≈44.1
Pls help due in 5 mins
The given algebraic equation can be written in many ways as shown.
What is algebraic equation?The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
Solution:-
-5x-15+25x-30
it can be written as
-5(x+3-5x+6)
20x-45
5(4x-9)
and also
-5(9-4x)
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Find the equation that is equivalent to [tex]-5x-15+25x-30[/tex].
First, complete arithmetic operations on linear equations [tex]-5x-15+25x-30[/tex]
*Remember : how to complete arithmetic operations on linear equations, grouping terms with the same variable and then adding them up
[tex]-5x-15+25x-30 = -5x+25x-15-30=20x-45[/tex]
Then, find the common factors of [tex]20x[/tex] and [tex]-45[/tex].
Both have the same factor is [tex]-5[/tex].
Use the distributive property to find the equation that is equivalent.
[tex]20x-45=-5(\frac{20x}{-5}-\frac{45}{-5} )=-5(-4x-(-9))=-5(-4x+9)[/tex]
So, [tex]-5x-15+25x-30[/tex] equivalent to [tex]-5(-4x+9)[/tex]
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What is the sign of -4 divided by -8?
Choose 1 answer:
Positive
B
Negative
Zero
Answer:
Positive
Step-by-step explanation:
Positive / positive = positive
positive / negative = negative
negative / negative = positive
negative/ positive = negative
Sign of -4 divided by -8 we get positive expression.
Here we have to find the sing of expression,
When -4 divided by -8
Since we know that,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
We can write it,
-4 divided by -8 = -4/-8
= (4/8)x(-1/-1)
= 1/2 its a positive number.
Hence,
-4 divided by -8 = 1/2
Hence we get positive expression.
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The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
Drag each function to show whether it has roots at x=−1 and x=5, roots at x=1 and x=−5, or neither.
Answer:
Roots x = -1 and x =5
k(x) = (x + 1)(x - 5)
m(x) = 1/2(x + 1 )(2x - 10)
Roots x = 1 and x = -5
n(x) = (3x + 15)(x - 1)
f(x) = (x - 1)(x + 5)
q(x) = (2x - 2)(3x + 15)
Neither
h(x) = 1/2(x + 1)(2x - 20)
Step-by-step explanation:
We have given that ,the quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
What are the step for finding the polynomial from its root?1. Write root as factor changing the sign and put each factor in paranthesis
2.Multiply paire of roots together using box to find the multiplication
3.Make sure that each factor multiplied by every other factor.
The function has roots x = -1 and x =5
[tex]k(x) = (x + 1)(x - 5)\\\\k(x)=x^2-5x+x-5\\k(x)=x^2-4x-5\\[/tex]
[tex]m(x) = 1/2(x + 1 )(2x - 10)\\m(x)=1/2(2x^2-10x+2x-10)\\m(x)=1/2(2x^2-8x-10)\\m(x)=x^2-4x-5[/tex]
The function k(x) and m(x) has root x=-5 and x=5
The function has roots x = 1 and x = -5
[tex]n(x) = (3x + 15)(x - 1)\\n(x)=3x^2-3x+15x-15\\n(x)=3x^2+12x-15\\n(x)=1/3(x^2+4x-5)[/tex]
[tex]f(x) = (x - 1)(x + 5)\\f(x)=x^2+5x-x-5\\f(x)=x^2+4x-5[/tex]
[tex]q(x) = (2x - 2)(3x + 15)\\q(x)=6x^2+30x-6x-30\\q(x)=6x^2+24x-30\\q(x)=1/6(x^2+4x-5)[/tex]
The function n(x),q(x) and f(x) has roots x=1 and x=-5
h(x) = 1/2(x + 1)(2x - 20)
h(x) has no roots from roots at x=−1 and x=5, and x=1 and x=−5.
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Need help with this! Due in 10 mins please
Answer:
I think the third option
Step-by-step explanation:
Have a nice day! Hope this helps! Owa Owa!!!!
DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
Someone help me with this please
Answer:
A
Step-by-step explanation:
A triangular prism has two rectangles on each side, then two triangles on the other sides. I hope this helps! :)
Is 2x 3 a linear function?
Answer:
yes
Step-by-step explanation:
The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be 0 or 1 . In this case, The degree of f(x)=2x−3 f ( x ) = 2 x - 3 is 1 , which makes the function a linear function.
how do you say 250.611 in words please do not lie
Answer:
two hundred fifty and six hundred elensths (i dont remember the end)
Step-by-step explanation:
Tell whether the system has one solution, infinitely many solutions, or no solution.
25y = - 30x + 35
6x + 5y = 7
Choose the correct answer below.
O A. The system has infinitely many solutions.
O B. The system has one solution.
O C. The system has no solution.
C. The system has no solution.
20 points, pls help, its angles
There are 12 girls and 16 boys in Mr jonsons 3rd period class of these students 3 girls and 4 boys wear glasses what percentage of the Stu in Mr jonsons class wear glasses
Answer:
25%
Step-by-step explanation:
Of the 12 girls and 16 boys in Mr. Johnson's class, 3 girls and 4 boys wear glasses. You want to know the percentage of students in the class who wear glasses.
PercentageThe percentage is the fraction multiplied by 100%. The fraction is the ratio of glasses-wearers to total students.
percentage = (girls w/ glasses + boys w/ glasses)/(girls + boys)×100%
percentage = (3 +4)/(12+16) × 100% = 7/28 × 100% = 25%
25% of the students in Mr. Johnson's class wear glasses.
<95141404393>
need this rn
solving system of linear equation in two variables. Show your COMPLETE SOLUTION
1) 4x + 8y = 24 2) 2x + y = 19 3) 3x + y = 15
4x + 2y = 12 x + y = 11 x + 2y = 10
The solution to the system of equations is x = 4 and y = 2.
CalculationsWe would use the elimination method to solve the system of equations:
4x + 8y = 242x + y = 193x + y = 154x + 2y = 12x + y = 11x + 2y = 10Let's eliminate the variable y by adding equations 1 and 2:
4x + 8y = 24
2x + y = 19
.
.
.,
6x + 9y = 43
Now we can eliminate the variable x by subtracting equation 3 from the above equation:
6x + 9y = 43
3x + y = 15
.
.
.
3x + 8y = 28
We now have an equation with one variable: 3x + 8y = 28. We can solve for x by dividing both sides by 3:
x = (28 - 8y) / 3
Now we can substitute this expression for x into one of the original equations and solve for y. Let's use equation 4:
4x + 2y = 12
Substituting x = (28 - 8y) / 3:
4((28 - 8y) / 3) + 2y = 12
If we simplify:
28 - 8y + 2y = 128y = 16y = 2Finally, we can use this value of y to find x by plugging it into the expression we found earlier:
x = (28 - 8(2)) / 3
x = (28 - 16) / 3
x = 12 / 3
x = 4.
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how to solve the Quadratic formul
Answer:
The answer is x=-6, x=8
Step-by-step explanation:
I recommend using the quadratic formula to solve this problem.
x^2=a
-2x=b
-48=c
Plug it into the quadratic formula.
New equation:[tex]\frac{2+-\sqrt{(-2)^2-4(1)(-48)}}{2(1)}[/tex]
Simplify
Equation: [tex]\frac{2+-\sqrt{4+192}}{2}[/tex]
Add 4 and 192.
Equation: [tex]\frac{2+-\sqrt{196}}{2}[/tex]
Do the square root of 196.
Equation: [tex]\frac{2+-14}{2}[/tex]
Make into two different equations.
Equation 1: [tex]\frac{2+14}{2}[/tex]
Equation 2: [tex]\frac{2-14}{2}[/tex]
Solve the two equations and you will get -6 and 8. Hope this helps!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve using the quadratic formula ⇨ x² - 2x - 48 = 0.[tex] \large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}[/tex]
[tex] \sf \: x ^ { 2 } - 2 x - 48 = 0[/tex]
All equations of the form ax² + bx + c = 0 can be solved using the quadratic formula: [tex]\sf \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
[tex] \sf \: x^{2}-2x-48=0 [/tex]
This equation is in standard form: ax² + bx + c = 0 Substitute 1 for a, -2 for b and -48 for c in the quadratic formula.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-48\right)}}{2} \\ [/tex]
Square -2.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4-4\left(-48\right)}}{2} \\ [/tex]
Multiply -4 times -48.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4+192}}{2} \\ [/tex]
Add 4 to 192.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{196}}{2} \\ [/tex]
Take the square root of 196.
[tex] \sf \: x=\frac{-\left(-2\right)±14}{2} \\ [/tex]
The opposite of -2 is 2.
[tex] \sf \: x=\frac{2±14}{2} \\ [/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2}[/tex] when ± is plus. Add 2 to 14.
[tex] \sf \: x=\frac{16}{2} \\ [/tex]
Divide 16 by 2.
[tex] \boxed{ \boxed{ \bf \: x=8 }}[/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2} [/tex] when ± is minus. Subtract 14 from 2.
[tex] \sf \: x=\frac{-12}{2} \\ [/tex]
Divide -12 by 2.
[tex] \boxed{\boxed{ \bf \: x=-6 }}[/tex]
The equation is now solved.
[tex] \underline{ \bf \: x=8 }\\ \underline{ \bf \: x=-6 }[/tex]
The scale drawing of a building has a height of 10 centimeters. The actual building is 20 feet high. How many centimeters in the scale drawing represent one foot on the actual building?
a. 1/2
b. 30
c. 10
d. 2
Answer: 1/2
Step-by-step explanation:
The question is asking you to find how many centimeters in the scale drawing equal 1 foot on the actual building. The answer will be 1/2 because 1 centimeter is equal to 2 feet in reality. But since we want to know the answer of how many centimeters is in 1 foot, we will divide that in half, to get an answer of 1/2 centimeter, or A.
Please mark me as Brainliest.
x - (-3) + 8 - 2x - 6 =
Answer:
-x + 5
Step-by-step explanation:
x - (-3) + 8 - 2x - 6 = x - 2x + 3 + 8 - 6 = -x + 5
Answer:
[tex] \sf \: -x + 5 [/tex]
Step-by-step explanation:
Given expression,
→ x - (-3) + 8 - 2x - 6
Let's simplify the expression,
→ x - (-3) + 8 - 2x - 6
→ x + 3 + 8 - 2x - 6
→ (x - 2x) + (3 + 8 - 6)
→ (-x) + (5)
→ -x + 5
Hence, the answer is -x + 5.
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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Circles centered at $A$ and $B$ each have radius 2, as shown. Point $O$ is the midpoint of $\overline{AB}$, and $OA
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers.
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The two smaller angles of a right triangle have equal measures. find the measure of all three angles.
Answer:
Step-by-step explanation: Because all three angles of the triangle must equal to 180 degrees, the two smaller angles of the right triangle must be 45 degrees. This is because a right angle always is 90 degrees and because you know that the other two angles are the same, and it must all equal to 180, the angles must be 45 degrees, 45 degrees, and 90 degrees.
Angle 1: (right angle) 90 degrees
Angle 2: 45 degrees
Angle 3: 45 degrees
what is the slope intercept form of this equation: -12x + 3y = 3*
Answer:
y=4x+1
Step-by-step explanation:
i hope this helps :)
Does 5 12 13 make a triangle?
Yes, the sides with 5,12,13 make a triangle.
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude is called Pythagorean Triples.
Pythagorean triples describe the three integer side lengths of a right triangle.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
which contain three positive integers a, b, and c.
the original Pythagorean triplets, two of the numbers are prime, but one is even. If all three numbers are multiplied by a factor, the triplet is called a relatively prime.
The most well-known examples are (3,4,5) and (5,12,13)
consider c=13 a=12, b=5 substitute in above formula:
13²=12²+5²
⇒169=144+25
⇒169=169
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3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto
The given set of ordered pairs does not satisfy a linear function.
What is a linear function?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Given:
The given set of ordered pairs is:
{(3, 2), (4, 3), (5, 4), (6, 5)}
To find:
Whether the given set of ordered pairs satisfies a linear function or not.
Explanation:
The slope of a linear function is:
m = (y₂ - y₁)/ (x₂ -x₁)
The slope of the linear function passes through the points and is:
m₁ = (3-1)/(3-1)
m₁ = 2/2
m₁ = 1
The slope of the linear function passes through the points and is:
m₂ = (9-3)/(5-3)
m₂ = 6/2
m₂ = 3
Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.
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Which of the following statements is not equivalent to the others?
16-34
|34 -16|
34-16
|16 -34
Answer:
the one that is not equivalent to the others would be 116-34
Step-by-step explanation:
because its 116 and the others dont have anything to do with 116 :)
Answer: The statement that is not equivalent should be D. |16-34
i need help with this math question HELP