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3 years ago

What is the expression

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

$-9r^2-2r+r^2+r=(-9r^2+r^2)+(-2r+r)=-8r^2-r\to B.$

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The length of ZX is 2 units. What is the perimeter of triangle XYZ?

dezoksy [38]

Keywords

triangle,perimeter,distance, length, side, points

we know that

The perimeter of a triangle is the sum of the three length side

To find the length side calculate the distance between two points

The formula to calculate the distance between to points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step 1

Find the distance ZY

$Z(1,0)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-0)^{2}+(3-1)^{2}}$

$dZY=\sqrt{5}\ units$

Step 2

Find the distance XY

$X(-1,4)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-4)^{2}+(3+1)^{2}}$

$dXY=\sqrt{25}=5\ units$

Step 3

Find the perimeter of the triangle

$P=ZX+ZY+XY$

we have

$dZX=2\sqrt{5}\ units$

$dZY=\sqrt{5}\ units$

$dXY=5\ units$

Substitute

$P=(2\sqrt{5}+\sqrt{5}+5)\ units$

therefore

the answer is

$P=(3\sqrt{5}+5)\ units$

4 0

3 years ago

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Drag the similar figure into the table.

ExtremeBDS [4]

Answer:

The purple on cause they equal a 90 degree angle

Step-by-step explanation:

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3 years ago

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Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.

kirza4 [7]

Answer:

$-3\frac{1}{2}$

Step-by-step explanation:

-3.5 means -(3 + $\frac{1}{2}$ )

In other words, -3.5 = $-3\frac{1}{2}$

When we draw two numbers $-3\frac{1}{3}$ and $-3\frac{1}{2}$ on a number line, $-3\frac{1}{2}$ comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, $-3\frac{1}{2}$ is smaller than $-3\frac{1}{3}$ .

$-3\frac{1}{2}$

Lauren is not correct.

3 0

3 years ago

Find the volume of the sphere .

mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

$\frac{4}{3} \times \pi \times r ^{3}$

$\frac{4}{3} \times \pi \times 7^{3}$

=1436.75504cm³

to 1dp

=1436.8cm³

8 0

3 years ago

The diagonal of a rectangle is 13 units. One side of the rectangle is 12”. Find the length of the shortest side of the rectangle

exis [7]

Answer:

explain more

Step-by-step explanation:

7 0

3 years ago