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3 years ago

What is the slope between each pair of points. (-5,-2) and (9,2)

Mathematics

1 answer:

zzz [600]3 years ago

5 0

Answer: 2/7

Step-by-step explanation:

You subtract the y intercepts and put it over the x intercepts

2-(-2)=4 and 9-(-5)=14 so it is 4/14 which sinplifies to 2/7

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Investment question Part 2: $3,500 is invested at 7%. How much money

antiseptic1488 [7]

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

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2 years ago

F(x)x^2.what is g(x)

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$([email protected] math is hard! dsggs gs gs gsd

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3 years ago

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

Bouncing Baby Company sells their cribs for the following amounts to stores

xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

= $10560

False

Option F

For N = 250

P = 132(250)

= $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0

3 years ago

If ƒ (x ) = 2x 2 + 3, find ƒ (3).

dimulka [17.4K]

Answer:

$f(x) = 2 \times 2 + 3 \\ f(3) = 4 + 3 \\ 3f = 7 \\ f = \frac{7}{3}$

3 0

3 years ago

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What is the slope between each pair of points. (-5,-2) and (9,2)​

What is the slope between each pair of points. (-5,-2) and (9,2)