Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Two towns that are 32 km apart are 8 cm on a map.

Then the scale factor will be

8 cm = 32 km

1 cm = 4 km

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

8 0

1 year ago

Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a

Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x² (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u> and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

y - a² = 2a (x - a) y = 2ax - a² ... (1)

line2: (y - a²) / (x + a) = - 2a y = -2ax- a² ... (2)

(1) - (2): 4ax = 0 a≠0 x = 0

y = - a²

I wish I did it right, or ....

3 0

2 years ago

A high school class consists of 7 seniors, 10 juniors, 12 sophomores, and 11 freshmen. Exactly 4 of the juniors are female,

jekas [21]

Answer:

1/13

Step-by-step explanation:

There exactly 7 seniors 10 Juniors, 12 sophomores and 11 freshman

in which 4 of the juniors are Female , and exactly 2 of the sophomores are male. Therefore,

10-4= 6 juniors are male

12-2 = 10 female sophomores

Total = 7+10+12+11= 40 students

P(male junior then female soph.)= $\frac{6}{40}\times\frac{10}{39}= \frac{1}{26}$

P(female soph then male junior)= $\frac{10}{40}\times\frac{6}{39}= \frac{1}{26}$

Therefore the final answer will be = 1/26 +1/26= 1/13

6 0

2 years ago

A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch th

Oliga [24]

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

6 0

3 years ago