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vazorg [7]
2 years ago
5

The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.

Mathematics
1 answer:
laila [671]2 years ago
5 0

Answer:

  • 210 miles

Step-by-step explanation:

The scale is

  • 1 in = 60 miles

Find the distance of equivalent to 3 1/2 in

  • 3 1/2 * 60 miles =
  • 3*60 + 1/2*60 miles =
  • 180 + 30 miles =
  • 210 miles
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The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?
Darina [25.2K]

Answer:

The perpendicular slope would be -1/5.

Step-by-step explanation:

This is because we can locate the slope of the original line as 5 (the number just outside of the x-coordinate parenthesis.

Then we know that perpendicular lines have opposite and reciprocal slopes. So we take the 5 and change the sign (-5), then we flip it (-1/5).

8 0
3 years ago
Which two (2) points on the number line below are opposites?
dexar [7]

Answer:

B. B and E

Step-by-step explanation:

A: -5.5

B: -4

C: -2.5

D: 1.5

E: 4

6 0
3 years ago
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What are the approximate solutions of 2x2 − 7x = 3, rounded to the nearest hundredth?
olganol [36]

Answer:

-0.39 and 3.89

Step-by-step explanation:

By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.

When you do the math of both of the equations it will give you the answers above

7 0
4 years ago
Martha biked 55 miles per day and Enrico biked 145 miles every 3 days. After 6 days, which statement correctly compares the numb
masha68 [24]

Answer:

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

Step-by-step explanation:

i. Martha bikes 55 miles per day.

So that after 6 days, Martha would have covered;

55 miles x 6 = 330 miles

After 6 days, Martha would have biked 330 miles.

ii. Enrico bikes 145 miles every 3 days.

Then after 6 days, Enrico would have covered;

\frac{6 days}{3 days} x 145 miles

= 2 x 145 miles

= 290 miles

After 6 days, Enrico would have biked 290 miles.

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

7 0
3 years ago
What are the x-intercept and vertex of this quadratic function? Write each feature as an ordered pair: (a,b). The x-intercept of
Allisa [31]

The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

<h3>How to determine the x-intercept?</h3>

The function is given as:

g(x) = -5(x - 3)^2

Set g(x) to 0, to determine the x-intercept.

-5(x - 3)^2 = 0

Divide through by -5

(x - 3)^2 = 0

Take the square root of both sides

x - 3 = 0

Add 3 to both sides

x = 3

Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)

<h3>How to determine the vertex?</h3>

The function is given as:

g(x) = -5(x - 3)^2

A quadratic function is represented as:

g(x) = a(x - h)^2 + k

Where, the vertex is

Vertex = (h, k)

By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have

(h, k) = (3, 0)

Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

Read more about x-intercept and vertex at

brainly.com/question/1305604

#SPJ1

5 0
2 years ago
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