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Gnesinka [82]
3 years ago
12

A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t

he car from the town after 4 hours? Explain how you can use linear function to solve this problem. Then, solve the problem
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

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The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?
KATRIN_1 [288]

Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:  

SA = \frac{1}{2}pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid.  Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA =  \frac{1}{2}(24)(5) + 36

SA = 60 + 36 = 96 ft²

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3 years ago
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As of 2009, the highest temperature ever recorded in Tennessee was 450 C . Find the corresponding Fahrenheit temperature.
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8 0
3 years ago
The grid model expressed as a ratio of shaded squares to total squares is _____
fredd [130]

Answer:

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Step-by-step explanation:

i got it right on edg and i hope it helps :)

4 0
3 years ago
A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.
torisob [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(1,-4)

substitute

y=a(x-1)^{2}-4

we have

An x-intercept of (-1,0)

substitute and solve for a

0=a(-1-1)^{2}-4

0=4a-4

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The equation is

y=(x-1)^{2}-4

<u><em>Verify the y-intercept</em></u>

For x=0

y=(0-1)^{2}-4

y=-3

The y-intercept is the point (0,-3) -----> is correct

using a graphing tool

see the attached figure

4 0
3 years ago
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