No, 4, 8 and 10 cannot be the sides of a right triangle. So 4, 8 and 10 does not make a right triangle.
In a right triangle, the side opposite the right angle (the hypotenuse) is the longest side. The side opposite the 90-degree angle is the hypotenuse and it follows the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the legs, so:
c² = a² + b²
In this case, c = 10, a = 8 and b = 4,
so 8² + 4² = 64 + 16 = 80 ≠ 10²
That is it does not follows the theorem. Therefore, 4, 8 and 10 cannot be the sides of a right triangle.
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Hello good morning do anyone think they could help please
Answer:2
Step-by-step explanation:
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1. Name the point with the given coordinates (2, 4). (1 point)
H
J
G
K
Answer:
G
Step-by-step explanation:
Given: (2, 4)
2 is the x coordinate, 4 is the y coordinate.
At the end of a snowstorm, Peyton had 8 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Peyton have on her lawn 2 hours after the snow began to melt? How much snow would Peyton have on her lawn after t hours of snow melting?
The amount of snow on Peyton's lawn after 2 hours is 4 inches
amount of snow after t hours y = 8 - t
How to model the required equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable = amount of snow remaking
m = slope = 1 inch per hour
x = input variable = number of hours
c = y intercept = 8 inches of snow on Peyton's lawn
The equation as described in the problem is represented using linear function as as follows
y = 8 - x
in 2 hours x = 2
y =8 - 2 = 4 inches
The quantity of snow after t hours
x = t
y = 8 - t
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Is (1,-2) a solution to this system of equations?
20x+20y=-2
2x+5y=-8
YES OR NO
The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)
What is a system of equations?A system of equations are two (or more) equations that have common variables.
The system of equation is presented as follows;
20·x + 20·y = -2
2·x + 5·y = -8
The specified possible solution of the equation is; (1, -2)
Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;
20·x + 20·y = -2
20·y = -2 - 20·x
y = (-2 - 20·x)/20
Therefore; y = (-2 - 20 × 1)/20 = -1.1
When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2
Evaluating the second equation, we get;
2·x + 5·y = -8
5·y = -8 - 2·x
y = (-8 - 2·x)/5
Plugging in x = 1, we get;
y = (-8 - 2 × 1)/5 = -2
When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation
The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;
y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5
Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5
-10 - 100·x = -160 - 40·x
60·x = 150
x = 150 ÷ 60 = 2.5
x = 2.5
y = (-2 - 20 × 2.5)/20 = -2.6
y = -2.6
The correct option is therefore, no, the solution to the system of equation is; (2.5, -2.6)Learn more about systems of linear equations here: https://brainly.com/question/11867840
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Find the measure of the angle
Answer:
155°
Step-by-step explanation:
The angle between the x and y axes is 90°
The required angle = 90° + 65° = 155°
Answer:
Well, y is 90˚ and another angle is 65˚ that means that the unknown angle must be 25˚
Step-by-step explanation:
Do the values in the table represent a proportional relationship?
x 2 3 4 5
y 5 6 7 8
Select from the drop-down menu to correctly complete the statement.
All of the y-values
Choose.
a constant multiple of the corresponding x-values, so the relationship
Choose
Values of x and y in table does not represent a proportional relationship.
From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is
2/ 5 = 0.4
3/ 6 = 0.5
4/ 6 = 2/ 3 ≈ 0.67
5/ 8 = 0.625
As the ratio is not constant, the values in table does not represent a directly proportional.
The value of xy is
2×5 = 10
3×6 = 18
4×7 = 28
5×8 = 40
Again as the value of xy is not constant, so they are not inversely proportionally.
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Find the cost of 1m 30cm at 80p per meter.
Answer:
120p
Step-by-step explanation:
if its 80 per meter then all you do is multiply 80 by 1.5 (1.5m = 1m 30cm) and you get 120p simple as that
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By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)
How to determine the solutions of a trigonometric equation
In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:
tan x - √(1 - 2 · tan² x) = 0
Second, use algebra and root properties:
tan x = √(1 - 2 · tan² x)
tan² x = 1 - 2 · tan² x
3 · tan² x = 1
Third, clear x by algebra properties and inverse trigonometric properties:
tan² x = 1 / 3
tan x = √(1 / 3)
tan x = 1 / √3
tan x = √3 / 3
x = tan⁻¹ (√3 / 3)
x = 30° or x = 210°
Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:
x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.
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Question Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. f(x)=x4−6x3−8x+48; x−6
Answer:
(x-2)(x²+2x+4)(x-6)
Step-by-step explanation:
6 | 1 -6 0 -8 48
_____6_0_0_-48__
1 0 0 -8 | 0
As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]
Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
The answer in standard form is given by 65.7 ×10⁴
What is the Standard Form of a Number?A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.
Given here: (6.31 x 10⁵)+(2.6 x 10⁴)
Simplifying the equation further we get
(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴
=65.7×10⁴
Hence, The answer in standard form is given by 65.7 ×10⁴
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4.1 is ten times as much as____
9.2 is ten times as much as___
Answer:
4.1 is 10 x 0.41
9.2 is 10x .92
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Step-by-step explanation:
4.1 is ten times as much as 0.41
9.2 is ten times as much as 0.92
Which number is greatest?
19/5
V15
3.88
identify the vertical and horizontal asymptotes for f(x)=2x^2+4 over x^2-5x+6
The vertical asymptotes are 2 and 3 and horizontal asymptotes is 2
What are horizontal and vertical asymptote?An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there.
Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function.
Therefore, the denominator is x²-5x+6,
= x²-5x+6 = 0
using factorization method
x²-3x-2x+6 = 0
(x²-3x)(-2x+6) = 0
x(x-3) -2(x-3)
x-2 = 0 or
x-3 = 0
x = 2 or 3
The degree of the power of numerator and denominator are equal, there for the horizontal asymptote y = 2x²/x² = 2
therefore the vertical asymptote is x = 2and 3 and horizontal asymptote is y = 2
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what is the measure indicated in the parallelogram
Answer:
? = 74°
Step-by-step explanation:
• in a parallelogram, consecutive angles sum to 180° , that is
? + 106° = 180° ( subtract 106° from both sides )
? ( ∠ G ) = 74°
In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys
Answer:
Its 22:40
Step-by-step explanation:
Answer: 22:40
Pretty simple
Step-by-step explanation:
Mhanifa please help! You don't have to draw a diagram if you dont want to
Answer:
10.44 mStep-by-step explanation:
The ladder is the hypotenuse of the triangle with legs of 3 m and 10 m.
The length of the ladder is:
[tex]l = \sqrt{3^2+10^2} = \sqrt{109} = 10.44 m[/tex]What number needs to be added to 5 and 3 so that the ratio of the first number to the second
becomes 4:3?
Answer:
3
Step-by-step explanation:
Choose a variable to represent the number to be added to 5 and 3.
[tex]\frac{5+x}{3+x}=\frac{4}{3}[/tex]
"Cross-multiply."
[tex]3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x[/tex]
Check: The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.
Answers to these please no links or files
I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!
Simplify. Consider all the cases. |7-(12-x)|
Answer: |x-5|
Step-by-step explanation:
I dont know how to exlplain it
You earned ten dollars. You spent two-fifths of what you earned. How much
did you spend?
dollars
Answer:
2 dolalrs
Step-by-step explanation:
HELP ME PLEASE!! WILL GIVE BRAINLIEST!!
Answer:
r = [tex]\sqrt{9}[/tex] or 3
Hope this helps!
Brianna is making fruit dip. The
recipe calls for 1/2 cup of yogurt
per serving. If the container has
3 cups of yogurt, how many
servings can she make?
Help hurry
What is the y-intercept of the equation 16 = x2 - 8x + 16?
Answer:
I believe Its 16
Step-by-step explanation: In Y=mx+b The y-intercept is always B which in this equation would be 16.
Find the 19th term of the arithmetic sequence 8,17,26,..
Answer:
170
Step-by-step explanation:
use the formula An = A1 + d(n-1) to identify the arithmetic sequence. An = 9n - 1
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help me please anyone
9514 1404 393
Answer:
(2x -1) by (x +5)
Step-by-step explanation:
We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...
2x^2 +9x -5
= 2x^2 +10x -x -5
= 2x(x +5) -1(x +5)
= (2x -1)(x +5)
Possible dimensions of the parking lot are (2x-1) and (x+5).
Find the slope and y intercept of each line
NEED HELP ASAP!!
Answer:
1. slope: -2x
y-intercept:-2
2. slope:4x
y-intercept: 1
3. slope:-x
y-intercept: 4
4. slope: none
y-intercept: none
5. slope: 1/3x
y-intercept: 0
Step-by-step explanation:
1. equation
[tex]y = - 2x - 2[/tex]
2. equation
[tex]y = 4x + 1[/tex]
3. equation
[tex]y = - x + 4[/tex]
4. equation
[tex]x = - 2[/tex]
5. equation
[tex]y = - \frac{1}{3} x + 0[/tex]
Zachary is a waiter at a restaurant. Each day he works, Zachary will make a guaranteed wage of $40, however the additional amount that Zachary earns from tips depends on the number of tables he waits on that day. From past experience, Zachary noticed that he will get about $7 in tips for each table he waits on. How much would Zachary expect to earn in a day on which he waits on 11 tables? How much would Zachary expect to make in a day when waiting on tt tables?
Zachary expects to make $40 + $7 x tt (number of tables) in a day when waiting on tt tables
If Zachary waits on 11 tables, he can expect to make an additional $7 in tips for each table, for a total of 11 tables * $7/table = $77 in tips.
When added to his guaranteed wage, Zachary can expect to earn $40 (guaranteed wage) + $77 (tips) = $117 for that day.
To calculate how much Zachary would expect to make in a day when waiting on tt tables, we can use the equation:
Earnings = $40 (guaranteed wage) + $7 (tips/table) x tt (number of tables)
So if tt represents the number of tables Zachary waits on, then he can expect to earn:
Earnings = $40 + $7 x tt
For example, if Zachary waits on 15 tables, he can expect to earn $40 + $7 x 15 = $190.
Zachary can use this equation to calculate his expected earnings for any number of tables he waits on in a day.
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Complete the table using the relationship between A and B
Answer:
Step-by-step explanation:
1) 6.2
2)12.4
3) 18.6
Write down the gradient and y intercept of each of these lines y=2x
Answer:
[tex]gradient = 2 \\ y - intercept = 0[/tex]
The gradient of this line is 2 and the y-intercept is (0, 0)
Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate: How many pages foes he read per minute?
In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.
What is Unitary Method ?A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.
In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.
Direct VariationIndirect VariationIn [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages
In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]
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