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2 years ago

Is x-y=1 a direct variation

Mathematics

1 answer:

zhenek [66]2 years ago

7 0

Answer:

Xy=1/5......

Step-by-step explanation:

because

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What is the solution to the equation below? √x - 4 = -2 O A. X=& O B. X=4 X = 4 C. x = 6 D. X = 2

saul85 [17]

Answer:

x = 4

Explanation:

Given the expression;

$\sqrt[]{x}-4\text{ = -2}$

Add 4 to both sides

$\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}$

Square both sides

$\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}$

Hence the value of x is 4

$undefined$

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7 months ago

Help! Match each linear equation with its graph

Bond [772]

Answer:

y = -1/4 x+4 is blue

y = 1/2 x+4 is green

y = 3x is red

y = -1/2x is purple

y = 3 is black

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2 years ago

A school custodian waxed the gymnasium floor that measured 20 feet by 20 feet. How many square feet did she have to wax?

Irina-Kira [14]

Hey there, all you do is multiply 20 by 20, 20×20=400. Therefore, the answer is 400 square feet.

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2 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.

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3 years ago

Which expression has a value of 17?

Ivahew [28]

The second choice is the answer

5 0

2 years ago

Read 2 more answers