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Keith_Richards [23]
3 years ago
12

Help? Given the points (0, 9) and (2, 3) find the slope.

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

Slope = -3

Step-by-step explanation:

Slope = \frac{rise}{run}

Slope = \frac{3-9}{2-0}

Slope = \frac{-6}{2}

Slope = -3

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Select a counter-example that makes the conclusion false. 3is prime, 5 is prime, 7 is prime
Butoxors [25]
5^3+7



Hope i helped.
3 0
3 years ago
Read 2 more answers
Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
natta225 [31]

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

8 0
3 years ago
To make 20 pancakes you have to use 3 eggs. how many eggs do you use to make 100 pancakes?
SashulF [63]
3/20 = 0.15
0.15 * 100 = 15
You would need to use 15 eggs for 100 pancakes.
8 0
3 years ago
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
2 years ago
A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop
steposvetlana [31]

Answer:

If the population grows by 4% each year then

the population in any given year is 104% of

the previous year or 1.04 times as much

P(t) = P0(1.04)t

P(t) is population at time t years

P0 = initial population = 11,000

t = number of years = 15

P(15) = 11,000(1.04)15

P(15) = 19,810 people

Step-by-step explanation:

3 0
3 years ago
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