Answers
Related Questions
solve the quadratic equation by taking the square root of (x+5)^2=16
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(x-5)2=16
The first step you can take to solve this quadratic is to take the square root of both sides of the equation.
√[(x-5)2]=√(16)
When you take the square root of a term that is square it equals what is inside the parentheses.
So on the left side, you have x-5
On the right side, you are what we call "forcing" the square root. When this happens, you need to put ±. Why? Good question. When you square a negative number it positive; when you square a positive number it is also positive.
The √16 = ±4
So now we have;
x-5=±4
What do you do with that?
You make two separate equations.
x-5=4 and x-5=-4
x=9 x=1
Let's check our answers
x=9
(x-5)2=16
(9-5)2=16
42=16
16=16 it checks
x=1
(x-5)2=16
(1-5)2=16
(-4)2=16
16=16 it also checks
ANSWER: x=9 and x=1
[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]
quick again tyvm
A rectangular prism measures 5 m by 8 m by 9 m. If the dimensions of the box were all halved, how would the surface area of the box change?
Answers
Answer: Double= 314m2
AStep-by-step explanation:
Move a symbol to each box to compare the fractions.
2/3 7/12
58/ 3/6
< > =
Answers
Answer:
See below ~
Step-by-step explanation:
Question 1
2/3 _ 7/12
They are both in simplest formTake the LCM as 122/3 x 4/4 _ 7/128/12 _ 7/12Clearly 8 is greater than 7⇒ 2/3 > 7/12Question 2
5/8 _ 3/6
Not in simplest form5/8 _ 1/2Take the LCM as 85/8 _ 1/2 x 4/45/8 _ 4/85 is greater than 4⇒ 5/8 > 3/6#1
2/3 =2×4/3×4=8/127/12The sign should be
8/12>7/122/3>7/12#2
5/8=5×3/8×3=15/243/6=3×4/6×4=12/24So
15/24>12/245/8>3/6What is the area of the hexagon?
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Answer:
60m2
Step-by-step explanation:
Answer:
(d) 68 m²
Step-by-step explanation:
The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.
__
A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h
A = 1/2(12 m +5 m)(4 m) = 34 m²
The area of the hexagon is double this:
hexagon area = 2 × 34 m² = 68 m².
please help im doing this right now
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Answer:
B. 0.000096 (4 zeroes after the decimal point because 10^4)
Step-by-step explanation:
0.96 / 10^4 = 0.000096
when dividing, the decimal moved left and you must add zeroes!
What is the value of the expression below?
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Answer:
A.11
Step-by-step explanation:
5×5+6-4*（2+3）=25+6-4*5=11
What is the volume of the prism shown?
A. 106.5 cubic inches
B. 91.3 cubic inches
C. 182.5 cubic inches
D. 176.7 cubic inches
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Type the answers to these questions, in order, thank you.
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Answer:
1) 3 weeks
2) $60
3) 6 weeks
4) $50
5) No, because they are already saving at the same rate, so if they continue to do so, their amounts will never meet. This is also because the lines in the graph are parallel, and parallel lines never meet.
Find perimeter and area
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Answer:
well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
2
70
4
75
9
80
8
85
1
90
1
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Answer:
please see the photo above for detailed analysis.
Help me on this please!
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BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!
A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².
What is the volume of the connector?
Enter your answer as a decimal in the box.
Answers
Answer:
32.6 cm³Step-by-step explanation:
The volume formula
V = BhGiven
B = 8.15 cm² and h = 4 cmFind the volume by substituting the values into formula
V = 8.15*4 = 32.6 cm³Area of base=8.15cm²
Height=4cmVolume
Area of base×Height4(8.15)32.6cm³solve the system of equations y=9x+17 y=x+49
Answers
Answer:
x=4
y=3
Step-by-step explanation:
substitute into one of the equations
9x+17=x+49
x=4
y=4+49
y=53
Solve
1/2 x + 3 < 4x - 7
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Answer:
x > 20/7
good luck on your test <3
Please help!!! Work out the surface area for this solid prism.
Answers
Answer:
3060 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the cross-sectional area first of the trapezium
[tex]\frac{1}{2} (a+b)h[/tex]
So, [tex]\frac{1}{2}(6+34)15[/tex]
which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]
Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]
Find the Area of the Rectangles
The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]
The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]
The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]
The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]
So by combining all these calculations, you will get the total surface area which is:
600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]
Find the product. Write your answer in scientific notation.
Answers
Answer:
5.6 x [tex]10^{4}[/tex]
Step-by-step explanation:
7 x 8 = 56
[tex]10^{-2}[/tex] x [tex]10^{5}[/tex] = [tex]10^{3}[/tex]
56 x [tex]10^{3}[/tex]
5.6 x [tex]10^{4}[/tex]
Answer:
The answer is
[tex]5.6 x 10^{4}[/tex]
Find the missing coefficients and exponents identified by question marks. Rewrite the entire equation without question marks when you have solved it.
Answers
Answer:
[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]
Step-by-step explanation:
Replace the questions marks with letters:
[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]
[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]
[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]
Taking the second term and calculating the coefficient of the denominator:
[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]
[tex]\implies \dfrac{-18}{c}=3[/tex]
[tex]\implies c=\dfrac{-18}{3}=-6[/tex]
Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:
[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]
[tex]\implies e=\dfrac{12}{-6}=-2[/tex]
Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:
[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]
[tex]\implies 6-d=1\implies d=5[/tex]
[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]
Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::
[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]
[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]
[tex]\implies a-5=11 \implies a=16[/tex]
Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:
[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]
[tex]\implies f=8-5=3[/tex]
Substituting all found letters:
[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]
Which equation is true?
A. (12= 6) + 7 = 12
B. 14 = (6 x 2) = 2
C. (3 x 2) + (6 x 6) = 42
D. 4+6-(2x 6=4
Answers
C
Answer:
A. (12= 6) + 7 = 12
Step-by-step explanation:
Wanda has two times more shirts than her brother, Will.
The equation a = 2b, where a represents the number of shirts Wanda has, and b represents the number of shirts Will has, shows this relationship.
If Wanda has 12 shirts, how many shirts does Will have?
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Answer:
Step-by-step explanation:
Change a=2b to y=2x.
a/y = # of shirts Wanda has
b/x = # of shirts Will has.
Will has double the amount Wanda has each time.
What is the length of the unknown leg of the right triangle? 2 ft and 5 ft (The figure is not drawn to scale.) Question content area bottom Part 1 The length of the unknown leg of the right triangle is enter your response here ft. (Round to one decimal place as needed.)
Answers
Answer: 4
Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.
4in 4in 4in cube what is the
l=
w=
h=
sa=
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Answer:
see below
Step-by-step explanation:
l,w,h are all = 4 in
sa = 4x4 * 6 = 96 in^2
Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.)
Numerical Answers expected!
{0, 1, 2, 3, 4}
Answers
Answer:
4
Step-by-step explanation:
4 (4) + 2 = 18
16 + 2 = 18
18 = 18
Answer:
4.Step-by-step explanation:
1:
Solve 4(1) + 2 = 18:
4(1) + 2 = 18= 4 + 2 = 18= 6 ≠ 18.1 is false.
2:
Solve 4(2) + 2 = 18
4(2) + 2 = 18= 8 + 2 = 18= 10 ≠ 182 is false.
3:
Solve 4(3) + 2 = 18
4(3) + 2 = 18= 12 + 2 = 18= 14 ≠ 183 is false.
4:
Solve 4(4) + 2 = 18
4(4) + 2 = 18= 16 + 2 = 18= 18 = 18.4 is true.
Correct answer is 4.
6% service charge for 200 boxing ticket
Answers
Answer:
12
Step-by-step explanation:
Please please help!!!!!!!!!
Find the length of the segment indicated.
A. 26.3
B. 11.8
C. 21.1
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Answer: C
Step-by-step explanation:
Pete's Pizza Palace sells pizza slices that are 1/8 of a whole pizza. On Friday night they sold 12 slices. How many pizzas did they sell.
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Answer:
1 4/8 or 1 1/2
Step-by-step explanation:
1 whole of a pizza is 8/8 and then add 4 slices left from the 12 slices,
so they sold 1 1/2 pizza
Find the values of a through e that make these two relations inverses of each other. a = b = c = d = e =
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The values of a through e that make these two relations inverses of each other. a = b = c = d = e = are:
a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 e = 1.0What is an Inverse?This refers to the function of a function f that undoes the operation of f. The inverse of f exists if and only if f is bijective. It is also known as reciprocals.
Now, if we assume that y = g(x) and y = h(x) are inverse of each other, where g(x) and h(x) are two different functions.
Then if a = g(b) then b = h(a).
Now, in the given table from the complete question, we would have
a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0 as the values of the function in inverse.
Read more about inverses here:
https://brainly.com/question/14379760
(-14+3i)-(14i) = ?
Express your answer in the form
(a + bi).
Answers
Answer:
-14 - 11i
Step-by-step explanation:
You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.
(-14 + 3i) - (14i)
= -14 + 3i - 14i
Combine the i's
= -14 - 11i
That's it. The -14 is the a, and the -11 is the b in a+bi.
If necessary to fill in a computer answer that is already formatted with a plus, like:
_ + _i
then use -14 for a and -11 for b.
solve each word problem using the method of yu
89. A fencing company charges $22 per foot to install
a wood fence. How much will it cost to install a
wood fence around a rectangular pool area that is
20 feet wide and 38 feet long?
Answers
Answer:
$2,552
Step-by-step explanation:
Here you will need a calculator or a paper and pencil. The easiest way to do this is to find the perimeter
So we got a rectange
38 Feet
_____
l l
20 Feet l l 20 Feet
l____l
38 Feet
Next you need to add all of the sides together to get 100 Feet. Finally you just multiply the cost per foot by 116 to get the total cost of 2,552
is 103 perfect square? show your work
Answers
Answer:
yes
Step-by-step explanation:
Could not simplify further
Answer:
No, it's not a perfect square.
Step-by-step explanation:
First of all a perfact square should never end with 2, 3, 7 or 8, if it does than its not a perfect square.
103 ends with "3", so therefore, it's not a perfect square.
The identity (x2 + y2) = (x2 -y2) + (2xy)? can be used to generate Pythagorean triples. What
Pythagorean triple could be generated using x = 8 and y = 3?
PLSSSS HELP
Answers
Answer:
48, 55, 73
Step-by-step explanation:
A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true
A common example is 3, 4, 5 because
[tex]3^{2} +4^{2} =5^{2}[/tex]
So here, you want to plug in the 8 for the x in the equation and 3 for the y
Then, what you are looking for is when the equation looks like
[tex]a^{2} + b^{2} = c^{2}[/tex]
So:
[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]
Simplify:
[tex]73^{2} = 55^{2} + 48^{2}[/tex]
We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48
So the triple is 48, 55, and 73
Answer:
48,55,73
Step-by-step explanation: