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2 years ago

The scale model of a car is 5% of the size of the actual car. The length of

Mathematics

1 answer:

podryga [215]2 years ago

5 0

<h3>Answer: 15 feet</h3>

Explanation:

x = length of the actual car in inches

5% of x = 9 inches

0.05x = 9

x = 9/(0.05)

x = 180 inches

Divide by 12 to convert from inches to feet.

180 inches = (180/12) feet = 15 feet

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At which root does the graph of f(x) = (x+4)6(x + 7)5 cross the x axis?

Licemer1 [7]

Answer:

x = -7

Step-by-step explanation:

Our function is $f(x) =(x+4)^6(x+7)^5$ . Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.

However, the power above x + 4 is even, meaning the graph will simply touch the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will cross the x-axis.

Thus, the answer is x = -7.

5 0

3 years ago

Read 2 more answers

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

What is the slope of the line that passes through the points (-9, -7) and (-11, 6)

anzhelika [568]

Answer:

-13/2

Step-by-step explanation:

-13/2 is the answer

4 0

2 years ago

What is 1/4x24 I need help

ZanzabumX [31]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{6}}}}}$

Step-by-step explanation:

$\sf{ \frac{1}{4} \times 24}$

Multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after Multiplication into lowest term

$\dashrightarrow{ \sf{ \frac{1 \times 24}{4 \times 1}}}$

$\dashrightarrow{ \sf{ \frac{24}{4}}}$

$\dashrightarrow{ \sf{6}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)

zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

Work for question 4:

180°-47° = 133°

Step-by-step explanation:

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0

2 years ago