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vaieri [72.5K]
3 years ago
8

PLEASE HELP 20 POINTS

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

Step-by-step explanation:

You can simply count the number of unit cubes.

There are 11 cubic units.

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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p
makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of -\dfrac{1}{2}.

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

m=\dfrac{y_2-y_1}{x_2-x_1}

The line passing through (-2,5) and (2,p). So, the slope of the line is:

m=\dfrac{p-5}{2-(-2)}

m=\dfrac{p-5}{2+2}

m=\dfrac{p-5}{4}

It is given that the gradient or slope of the line is -\dfrac{1}{2}.

\dfrac{p-5}{4}=-\dfrac{1}{2}

On cross multiplication, we get

2(p-5)=-4(1)

2p-10=-4

2p=-4+10

2p=6

Divide both sides by 2.

p=3

Therefore, the value of p is 3.

4 0
3 years ago
What is the average of -30 -15 -20 55
defon

Answer:

-2.5

Step-by-step explanation:

-30 + (-15) + (-20) + 55 = -10. Then you divide it by how many numbers there are (4). Which equals - 2.5. If this is wrong, then round up to -3.

8 0
2 years ago
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The points represented by the (x, y) coordinate pairs in the
77julia77 [94]

Step-by-step explanation:

For every increase in the x-value by 1,

the y-value decreases by -2.

(From 3 to 1 and from 1 to -1)

Hence, slope of line k

= Rise/Run = (-2)/1 = -2. (A)

5 0
3 years ago
Zara is shopping at a furniture store with a budget of $1,500
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The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

She wants to buy a sofa for $924 and a coffee table for $640, hence:

Estimated total cost = 924 + 640 = $1564

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

Find out more on equation at: brainly.com/question/1214333

3 0
2 years ago
Deon earns $91 washing 7 dogs. At this rate, how many dogs did Deon wash to earn $117?​
mamaluj [8]
$91/ 7 = $13 per dog
$117/$13 = 9 dogs
He washed 9 dogs
4 0
3 years ago
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