Write the equaition in slope-intercept form of the line through (6,9) and (-12,-3)

Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8)

KiRa [710]

Vertices of ΔABC
A - (3, 8)
B - (11, 8)
C - (7, 12)
vertices of ΔFGH
F - (8, 4)
G - (16, 4)
H - (12, 8)
after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction.
if we take point A and F
x coordinates of A = 3 and F = 8
the change that has happened can be noted as 'm'
3 + m = 8
m = 5
this means that the point has moved 5 units to the right
y coordinates of A = 8 and F = 4
change that happened is 'n'
8 + n = 4
n = -4
this means that point has moved 4 units downwards

Therefore the correct answer is Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units

3 0

4 years ago

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Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year.

Kipish [7]

Answer:

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.

5 0

3 years ago

A circle with radius 16 centimeters is inscribed in a square.Which is the area of the shaded region? A. 804.25 square feet B. 10

Dmitrij [34]

Answer:

Area of shaded region = 220.16 ft²

Explanation:

The diagram associated with this question is shown in the attached image

Unit in diagram is ft, so I'll use this unit in the answer

We are given that a circle with radius 16 ft is inscribed in a square

We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square

This means that:

side length of the square = 2 × radius = 2 × 16 = 32 ft

From the diagram, we can note that:

area of shaded region = area of square - area of circle .............> equation I

1- getting area of square:

Area of a square is the square of its side length

This means that:

Area of square = (32)² = 1024 ft²

2- getting the area of the circle:

Area of circle = πr² = 3.14 × (16)² = 803.84 ft²

3- getting area of shaded region:

Use equation I

area of shaded region = area of square - area of circle

area of shaded region = 1024 - 803.84 = 220.16 ft²

Hope this helps :)

5 0

3 years ago

Which number is rational , an integer , and a real number ?

vladimir2022 [97]

I believe the answer is C.

5 0

3 years ago

The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation

timofeeve [1]

Answer:

z = -2.85

Step-by-step explanation:

Since the number of nuts per can is normally distributed:

Mean number of nuts (μ)= 500 nuts

Standard Deviation (σ)= 20 nuts

X = 443 nuts

For any given number of nuts X, the z-score is given by:

$z=\frac{X-\mu}{\sigma} =\frac{443-500}{20}\\z= -2.85$

The z-score for this can of nuts with 443 nuts is -2.85.

3 0

4 years ago

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