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2 years ago

The coordinate pairs (-5, -11), (0, -1), and (5, 9) are solutions to which function?

1 answer:

5 0

So, the slope is 2 for each of the points. Now, you plug it into y=mx+bSo, you get, y=2x+b
To find b, you choose any pair of x and y values.-5=-22+bb=17

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Please please help me

Lunna [17]

Answer:

x = 2 $\sqrt{13}$

Step-by-step explanation:

Altitude - on - Hypotenuse theorem

An altitude drawn to the hypotenuse of a right triangle, then

x² = 4 × (4 + 9) = 4 × 13 = 52 ( take square root of both sides )

x = $\sqrt{52}$

= $\sqrt{4(13)}$ = $\sqrt{4}$ × $\sqrt{13}$ = 2 $\sqrt{13}$

6 0

2 years ago

Mary earned $97.50 in 6.5 hours.If Mary works for 8 hours, how much can she expect to earn?

laila [671]

We first work out how much Mary will earn in one hour by doing 97.50/6.5 = 15
We then multiply this answer by 8 to work out how much she is expected to earn in 8hours
15*8= 120
So Mary will earn $120 in 8 hours

3 0

2 years ago

Please please please help me with this answer

maksim [4K]

if the girls are "g" and the boys are "b"

g + b = 13

b = g + 7 <--- 7 more boys than girls

$\bf g+\boxed{g+7}=13\implies 2g=6\implies g=\cfrac{6}{2}\implies g=3\\\\\\\stackrel{\textit{since there are 3 gals}}{b = g+7}\implies b=3+7$

6 0

3 years ago

Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.

hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0

2 years ago

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0

3 years ago