Answer:
The number is 38.........
If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer.
Given:
The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).
To find:
Which type of triangle is ΔWXY by its sides.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]WX=\sqrt{(-3-(-10))^2+(-1-4)^2}[/tex]
[tex]WX=\sqrt{(-3+10)^2+(-5)^2}[/tex]
[tex]WX=\sqrt{(7)^2+(-5)^2}[/tex]
[tex]WX=\sqrt49+25}[/tex]
[tex]WX=\sqrt{74}[/tex]
Similarly,
[tex]XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}[/tex]
[tex]WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}[/tex]
Now,
[tex]WX=WY[/tex]
So, triangle is an isosceles triangles.
and,
[tex]WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2[/tex]
[tex]WX^2+WY^2=74+74[/tex]
[tex]WX^2+WY^2=148[/tex]
[tex]WX^2+WY^2=(2\sqrt{37})^2[/tex]
[tex]WX^2+WY^2=WY^2[/tex]
So, triangle is right angled triangle.
Therefore, the ΔWXY is an isosceles right angle triangle.
Annie earns $4200 per month, of which 20% is taken out for federal and state income taxes and other required deductions. Last month she spent $925 for rent and $212.13 for clothing. What percent of her take home pay did she spend on rent and clothing?
Answer:
Step-by-step explanation:
The Low-Income Housing Tax Credit provides a tax incentive to construct or rehabilitate affordable rental housing for low-income households.
What is happening in the graph shown below?
Answer:
A the awsers a
Step-by-step explanation:
as time goes by the obeject slows down due to fruction
Answer:
C
Step-by-step explanation:
the answer is C because this is a Distance/Time graph. The speed is not changing here, the distance is decreasing as we move, which means we're moving towards the point of origin
is 400% of 8 less than 10, greater than 10 but less than 100, or greater than 100
Question Help
Peter is typing an essay for his history class. The essay needs to be 7.700 words long. Peter can type 30 words per minute. If Peter has 500 words typed so far, how many hours will it take for Peter to finish typing the
essay?
It will take Peter _ hours to finish typing the essay.
(Type a whole number.)
PLEASE HELP PLEASE I AM DESPERATE I WILL MARK BRAINLIEST
Answer:
5.555
Step-by-step explanation:
the store offers a 20% discount. the discount price of a hat is 18$. What is the regular price
Answer:
regular price is $22.50
Step-by-step explanation: 22.50*.20=4.5 (discount)
Mr.Dotson cherry tree grew 12 inches in 3/4 of a year. At that rate, how much would it grow in 1 year?
Answer:
16 inches
Step-by-step explanation:
12 divided by 3 is 4
4 inches for 1/4 of the year
4 x 4 = 16 inches
someone please help ❤️❤️
Answer:
1) 44 2) 136 4) 44 5) 44 6) 136 7) 136 8)44
Step-by-step explanation:
You find the small angle by doing 180-136 = 44 then you can reflect over the line and because the bottom lines are parallel they are the same for 5 6 7 and 8
5. Purple Bricks are stacked according to the pattern below. Each row contains 2 more bricks than the row above it!
Part A.
Determine a Quadratic Function to model the total number of bricks in the stack, f(x), given a number of rows X.
Part B.
If there are 50 rows in the stack, how many bricks would there be ? Use your quadratic function to determine the number of rows. Show your work and explain your reasoning
Answer:
Part A
The Quadratic Function to model the total number of bricks the stack is f(x) = x²
Part B
The number of bricks we will have for 50 rows is 2500 bricks
Step-by-step explanation:
Part A
Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c
We have;
When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0
∴ c = 0
When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1
∴ a + b = 1...(1)
When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4
∴ 4·a + 2·b = 4...(2)
Multiply equation (1) by 2, and subtract it from equation (2) gives;
4·a + 2·b - 2×(a + b) = 4 - 2 × 1
2·a = 2
a = 1
From equation (1), we have;
b = 1 - a = 1 - 1 = 0
b = 0
∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²
Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²
Part B
If there are 50 rows in the stack, then we have, x = 50
Therefore;
f(50) = 50² = 2500
The number of bricks we will have for 50 rows is f(50) = 2500 bricks
There are 8 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Answer:
Step-by-step explanation:
5:2
Answer:
1/4
Step-by-step explanation:
Ratio of circle to the triangle=2/8
=1/4
So 1/4 is the answer
Given the diagram below, find X. The diagram IS
40°
x - 15°
X =
degrees.
Answer:
X=65°
Step-by-step explanation:
Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore
(x-15°)+40°=90°
combine like terms
x+25°=90°
subtract 25° from each side
x=65°
Help please!!! Idk the answer.. If anyone knows please help me I will mark as the BRAINLIEST.
HELP please.
Pentagon QRSTU is dilated to form pentagon Q'R'S'T'U' .
If Q is located at (-2, 1) , which of the following can be used to determine the location of R?
Please look at the picture below.... the answer choices are also there.
Answer:
C
Step-by-step explanation:
Here, originally, we are told that the point Q has coordinates (-2,1)
Now, its dilated point has the coordinates (-8,4)
what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image
Now the point R’ is (0,8)
To get the point R , we simply divide each coordinate by 4
Thus, we have (0/4 , 8/4)
This is same as option C
Whats a perfect square trinomial
Answer:
"Perfect square trinomials" are quadratics which are the results of squaring binomials.
Step-by-step explanation:
Can I have brainliest pls?
Answer:
An expression obtained from the square of binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)
write an equation in slope intercept form of the line shown that passes through (6,-1) and (3,-7)
Answer:
y=2x-13
Step-by-step explanation:
:)
8. Give an example of a rational number that is NOT an integer.
9. Give an example of an integer and prove how you know it is a rational number.
Answer:
2.37 its a rational number because its a decimal
8. -5/3 is an example of a rational number that is NOT an integer.
9. For example a number like -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
2.
The radius, r, and the coordinates of the centre, C, of the circle with equation
x2 + y2 - 6x + 4y - 12 = 0 are
A. r = 5, C(-2,3)
B. r = 25, C(2,-3)
C. r = 12, C(-3,2)
D. r = 5, C(3,-2)
Answer: D. r = 5, C(3,-2)
Step-by-step explanation:
Use a graphing calculator. Enter exponents correctly.
what is the equation of the line that is perpendicular to the line y= -1/2 (x-18) and intersects the y-axis at (0,-1) ????
Answer: y=2x+1 sjsjrhrhfhhhxhh
Answer: its y=-2x-1
Step-by-step explanation:
Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.
Answer:
Step-by-step explanation:
3x^2=6 Bring the 6 over to the left and set equation to 0
3x^2-6=0
Using the quadratic formula the answer is
x=±√2 decimal is 1.41421356 and -1.41421356
Solution of the given equation [tex]3x^{2}=6x[/tex] is x=2 and 0
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given,
[tex]3x^{2} =6x[/tex]
Rewrite the equation
[tex]3x^{2} -6x=0[/tex]
Solve the equation
[tex]3x^{2} -6x=0\\3(x^{2} -2x)=0\\x^{2} -2x=0[/tex]
Therefore the roots are
x=2 and 0
Hence, solution of the given equation [tex]3x^{2} =6x[/tex] is x= 2 and 0
Learn more about equation here
https://brainly.com/question/10413253
#SPJ2
PLS HELP DO NOT JUST PUT A RANDOM ANSWER PLEASE 15 POINTS!!!
Answer:
Step-by-step explanation:
Where's the question?
But if the question is to represent the equation on the graph then
Just fix in any random value for x,say x=3...then insert into into your equation y=3/2x-1 y=3/2(3)-1 y will be 3.5 when x is 3 so you get a coordinate like(3,3.5) repeat that for about three more values then plot a line
HOPE THIS HELPS
What is (6.4 x 103) + (5.2 x 104)?
Answer:
1200
Step-by-step explanation:
(6.4 x 103) + (5.2 x 104)
659.2+540.8
1200
So 1200 is the answer
Answer:
1200
Step-by-step explanation:
[tex](6.4 *103) + (5.2 * 104)[/tex]
[tex]6.4*103=659.2[/tex]
[tex]5.2*104=540.8[/tex]
[tex]659.2 + 540.8[/tex]
[tex]=1200[/tex]
[tex](6.4 *103) + (5.2 * 104) = 1200[/tex]
I need help trying to find the answer to -4(x-1)=-3x+31
Answer:
x=27
Step-by-step explanation:
-4x+4=-3x+31
4=x+31
27=x
Answer:
x=-27
-4x+4=-3x+31
-x=27
x=-27
I need help with this
Answer:
U'(-1, 04)Step-by-step explanation:
Given
Point U(1, -4)Reflection over y-axis results in same y-coordinate and opposite x-coordinate
U(1, -4) → U'(-1, -4)The lateral surface area of a cylinder is 288π square centimeters. The height of the cylinder is 16 centimeters. What is the diameter of the cylinder in centimeters?
Answer:
18 cm
Step-by-step explanation:
The formula for the lateral surface area of a cylinder is
=>2πrh
In the question:
The lateral surface area of a cylinder is 288π square centimeters.
The height of the cylinder is 16 centimeters.
Hence:
288π => 2πrh
288π => 2 × π × r × 16
288π => 32πr
r => 288π/32π
r => 9 cm
The formula of Diameter is 2 × radius
= 2 × 9 cm
Diameter =>18 cm
The diameter of the cylinder in centimeters is 18 cm
[tex]\frac{\sqrt{5} -2}{\sqrt{5} +2}[/tex] YALLLLLLL HELP PLEASEEEEE W EXPLANATION ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Which is the correct graph of the equation y=-1/3x+5
Answer:
x=15 i think but im pretty sure
Step-by-step explanation:
I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please ( yes I have been copying and pasting)
Answer:
Conner's work is correct
Step-by-step explanation:
Operations With Exponents
We need to use the rule to find the product of two or more exponential expressions:
[tex]x^m\cdot x^n\cdot x^p = x^{m+n+p}[/tex]
We need to multiply:
[tex](3^5 6^8)(3^9 6^{10})[/tex]
Base 3 is treated independently from base 6, so we have two groups of operations:
[tex](3^5 6^8)(3^9 6^{10})=3^{5+9} 6^{8+10}[/tex]
Adding the exponents:
[tex](3^5 6^8)(3^9 6^{10})=3^{14} 6^{18}[/tex]
Thus, Conner's work is correct
Hi anyone know the answer to this? Ill give brainliest ^^
Answer:
its y=5x-3
find the y intercept first and the ide over run for slope
HELP
Select the function that defines the given sequence.
–8, -20, -50, -125, -625.
Answer:
The answer is B
Step-by-step explanation:
a1 = -8
a2 = -8 * 2.5
a3 = -8 * 2.5 * 2.5
a4 = -8 * 2.5^3
an = -8 * 2.5^(n - 1)
The first term is -8. Each subsequent term is 5/2 times the previous term.
I need help with this
Answer:
no solutions
Step-by-step explanation:
3x+ 7(x+1) = 2(6x+5) -2x
Distribute
3x+7x+7 = 12x+10-2x
Combine like terms
10x+7 = 10x+10
Subtract 10 from each side
10x+7-10x = 10x+10-10x
7 = 10
This is not a true statement so there are no solutions