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3 years ago

12

The fine for speeding on the Florida highway is $4.25 per mile above the legal limit plus an additional $71.50. Write the formul

a that could be used to calculate the speeding fine for any speed over the legal limit of 70 mph

1 answer:

nekit [7.7K]3 years ago

8 0

4.25m + 71.50 = TOTAL $

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A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volu

Montano1993 [528]

Answer:

The last option: 27 times the original volume.

Step-by-step explanation:

The dimensions are tripled so and we are talking volumes so:

The factor of enlargement is 3^3 = 27.

6 0

2 years ago

Read 2 more answers

X-intercept and y-intercepts og y=x^2-3

Rufina [12.5K]

Answer:

Part 1) The y-intercept is the point $(0,-3)$

Part 2) The x-intercepts are the points $(-\sqrt{3},0)\ and\ (\sqrt{3},0)$

Step-by-step explanation:

we have

$y=x^{2}-3$

This is a vertical parabola open upward

step 1

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$y=(0)^{2}-3$

$y=-3$

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

step 2

Find the x-intercepts

we know that

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$x^{2}-3=0$

solve for x

Adds 3 both sides

$x^{2}-3+3=0+3$

$x^{2}=3$

take square root both sides

$x=(+/-)\sqrt{3}$

so

The x-intercepts are the points $(-\sqrt{3},0)\ and\ (\sqrt{3},0)$

3 0

2 years ago

Solve for x. Assume that lines which appear to be diameters are actually diameters

Dafna1 [17]

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

4 0

3 years ago

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a=7 feet and b=7 feet, what i

V125BC [204]

The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.

Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle are 7 feet and 7 feet.

We have to find the value of c in the right angled triangle.

In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.

$H^{2} =P^{2} +B^{2}$

H=c

P=7 feet

B=7 feet.

Put the values in the above rule:

$c^{2} =7^{2} +7^{2}$

$c^{2}$ =49+49

$c^{2}$ =98

c=9.899

After rounding off to nearest tenth we will get c=9.9.

Hence the value of c is 9.9 which is the length of hypotenuse.

Learn more about pythagoras theorem at brainly.com/question/343682

#SPJ4

4 0

2 years ago

(x-5)^2+2=11 solve by using square roots.

JulijaS [17]

<h3>Answer: x = 2 or x = 8</h3>

Work Shown:

$(x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\$

8 0

2 years ago