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Mazyrski [523]
3 years ago
11

4. Paula drew a map of her neighborhood on a coordinate grid. A grocery store is located at point (5,-4). A park is located at p

oint (-5,4). Paula's house is located halfway between the grocery store and the park. A school is located halfway between Paula's house and the park. What are the coordinates of the school?
Mathematics
1 answer:
Paha777 [63]3 years ago
6 0

Answer:

Midpoint Formula= (x1+x2)/2, (y1+y2)/2

Plug in the numbers

Answer= (0, 0)

I hope this helps you!!

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Which of the following expressions represents "the difference of 8 and n"?
max2010maxim [7]
I would have to say the second
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3 years ago
Find the solution to the system of equations 2x+3y+z=20 3y+5z=12 y-5z=4
podryga [215]

Answer:

x =4 ,y =4 and z =0 is the solution.

Step-by-step explanation:

We shall solve the equations using elimination  method

In equation 2 and 3 we can see that  coefficient of z in both equations  are same with opposite sides , adding equations (2) and (3)

3y+5z = 12

y -5z = 4     adding the equations

___________

4y      = 16

dividing both sides by 4

  y =\frac{16}{4}

 y = 4

Plugging the value of y in equation 2 or equation 3 ,we get

3(4) +5z = 12

12+5z = 12

  5z = 12-12 or 5z =0 gives z =0

plugging y =4 and z =0 in equation 1

2x+3(4)+ 0 = 20

2x+12 = 20

2x =20-12

2x = 8

x = 8 divided by 2 gives

x =4

therefore solution of the system is given by

x=4 , y =4 and z =0

3 0
4 years ago
Read 2 more answers
The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at
algol13

Answer:

Since students need at least a C for the grade to transferdes that are less than C into one category instead of grouping D's and F's separately. How many ...

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2 years ago
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What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24
shusha [124]

The value of b is -6.

Explanation:

The expression is \left(y^{b}\right)^{4}=\frac{1}{y^{24}}

To determine the value of b, we shall solve the expression.

Applying exponent rule, \left(a^{b}\right)^{c}=a^{b c}, we get,

y^{4b}=\frac{1}{y^{24}}

Applying exponent rule, \frac{1}{a^{b}}=a^{-b}, we have,

y^{4b}=y^{-24}

The expression is of the form, a^{f(x)}=a^{g(x)} then f(x)=g(x)

Applying this rule, we get,

4b=-24

Dividing both sides by 4, we have,

b=-6

Hence, the value of b is -6.

4 0
3 years ago
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Find the measure of angle JML.
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Answer:

110°

Step-by-step explanation:

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