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pantera1 [17]
2 years ago
12

A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?

Mathematics
1 answer:
Usimov [2.4K]2 years ago
8 0

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

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10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
Sedbober [7]

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

         266s + 361t = 4565.7

(+)     -266s - 308t = -4200

----------------------------------------

                       53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

6 0
3 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
nirvana33 [79]

Answer:

<KLN and <MLI

Step-by-step explanation:

vertical angles are made by opposite angles that are made by two intersecting lines

hope this helps :), brainliest??

8 0
3 years ago
What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Sq
andreev551 [17]

Answer:

Rectangle.

Step-by-step explanation:

The 2 dimensional section would be a rectangle.

5 0
3 years ago
Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C
Musya8 [376]

Answer:

Step-by-step explanation:

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars.

R(x) = -x^2 + 6x,\\ C(x) = x + 4.

Profit function = Revenue  - cost

So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

Profit function of x

= Pr(x) = R(x) -C(x)\\= -x^2+6x-x-4\\=-x^2+5x-4

7 0
3 years ago
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