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3 years ago

Help me I really need it

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

Your answer is correct!

Step-by-step explanation:

2 with an exponent of 4 you multiply the number (2) the amount of times as the exponent (4)

Then you remember PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

So, once you do your exponent you multiply 8 and 2 which equals 16. Then you divide 16 by 4 which equals 4.

Lastly, you subtract 16 and 4 which equals 12.

Hope this helps!

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The scale on a map shows that 1 cm equals 10km if the distance between 2 cities on the map is 4.5 cm how far is the actual dista

ikadub [295]

Answer:

45 km

Step-by-step explanation:

Let's review the scale factor of this problem.

1 cm = 10 km

This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.

Ex. 40 km in real world = 4 cm on map

So, we will use d to represent the actual distance.

d=distance in real world

Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.

d/10 = 4.5

Now to solve this equation, we just have to multiply both sides by 10.

d=45

This is your answer.

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3 years ago

The function and it’s inverse are shown on the same graph. Which statement best describes the relationship between the function

irinina [24]

Can I have the Graph

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3 years ago

Are points B, J, and C collinear or noncollinear?

adoni [48]

I’m pretty sure they’re collinear. I’m so sorry if I’m wrong.

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3 years ago

Cloud [144]

If you are asking if your work is good,thn yes,you are right

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3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago