Ask question

Ask question

All categories

2 years ago

11

Sergio and Linnea live on the same street. Their houses are shown on the diagram below. If the length of each square represents

1 yard, how far is the point in the middle of Linnea's house from the point in the middle of Sergio's house?

1 answer:

lianna [129]2 years ago

5 0

Answer:

11 yards

Step-by-step explanation:

You might be interested in

I need help finding x using the pythagorean theorem.

Nataly_w [17]

The value of x =32 I’m sure

4 0

3 years ago

Read 2 more answers

For a fundraiser, Marcus needs to raise $600 in order to meet his goal. Marcus will walk a certain number of miles, and he will

aliya0001 [1]

-32

Step-by-step explanation:

Step 1:

The rate of change over an interval is got by finding the change in g(x), the change in x and dividing it.

Step 2:

Given, x denotes the number of miles walked by Marcus for the fund raiser

g(x) denotes the amount of money he has left to raise after x miles of walking

g(x) for the interval [6,10] is 408,280

Change in x = 10-6 = 4

Change in g(x) = 280-408 = - 128

Rate of change = -128/4 = -32

Hence the average change in rate over the given interval is -32

8 0

3 years ago

What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

4 years ago

The number of apples in 15 pound boxes sold at a farm is normally distributed as shown below.

Nataly_w [17]

Answer: 16%

Step-by-step explanation:

3 0

3 years ago

In Triangle JKL, ∠J is congruent to ∠L. Triangle J K L is shown. Ray L K extends beyond point K to form an exterior angle that i

Inga [223]

Answer:

m<L = $33.9^{o}$

Step-by-step explanation:

Triangle JKL is an isosceles triangle, given that <J ≅ <L. An isosceles triangle has two of its angles and sides to be equal.

The exterior angle formed = $67.8^{0}$

But,

<J + <L = $67.8^{0}$ (the sum of two opposite interior angles is equal to the exterior angle)

Let <J ≅ <L be represented by a, so that;

a + a = $67.8^{0}$

2a = $67.8^{0}$

a = $\frac{67.8^{o} }{2}$

= $33.9^{o}$

The measure of <L is m<L = $33.9^{o}$ (m<L =

Thus,

m<J ≅ m<L = $33.9^{o}$

8 0

3 years ago