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3 years ago

13

Hellllppppppeee pleaseeee!!!!!!

1 answer:

Mars2501 [29]3 years ago

7 0

Answer:

Scale Factor = 2

Step-by-step explanation:

ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.

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Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

2 years ago

Why does the following system of linear equations have no solution? x + 4y = 20 x + 4y = 16

Shkiper50 [21]

4y+4y=21x+16
8y=21x+16

7 0

2 years ago

Write the equation of the circle with the given center and radius.

34kurt

Step-by-step explanation:

The standard equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$

Center = (h, k)

#1

Center = (0,2)

h = 0

k = 2

r = 5

$(x - h)^2 + (y - k)^2 = r^2$

$(x - 0)^2 + (y - 2)^2 = 5^2$

#2

Center = (-4,-5)

h = -4

k = -5

r = $\sqrt{2}$

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-4))^2 + (y - (-5))^2 = \sqrt{2}^2$

$(x + 4))^2 + (y + 5))^2 = \sqrt{2}^2$

#3

Center =(-1,3)

h = -1

k = 3

r = 8

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-1))^2 + (y - 3)^2 = 8^2$

$(x + 1)^2 + (y - 3)^2 = 8^2$

#4

Center: (9,0)

h = 9

k = 0

r = $\sqrt{3}$

$(x - h)^2 + (y - k)^2 = r^2$

$(x - 9)^2 + (y - 0)^2 = \sqrt{3}^2$

4 0

3 years ago

The legs of the right triangle are a, b and the hypotenuse is c. Find the missing sides of the right triangle.

adelina 88 [10]

Answer:

1)6.32

2)12.80

3)13

Step-by-step explanation:

1)

$\sqrt{ {6}^{2} + {2}^{2} }$

2)

$\sqrt{ {8}^{2} + {10}^{2} }$

3)

$\sqrt{ {5}^{2} + {12}^{2} }$

4 0

2 years ago

Read 2 more answers

The shoe store is having a sale. All items are 30% off the regular price, and the store will pay 1/2 of the sales tax. Sales tax

gavmur [86]

Explanation is in the file

tinyurl.com/wpazsebu

7 0

2 years ago