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3 years ago

PT=x+2, TR=y, QT=2x, TS=y+3

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

After consideration I'm not sure but I think x=3 and y=6 I'm not a math whiz but this made sense to me.

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The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

Determine the intercepts of the line.

Lemur [1.5K]

Hello there!

The x-intercept and y-intercept of the line shown on the graph are...

x-intercept: (-7,0)

y-intercept: (0,2)

8 0

3 years ago

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What is 1+13+2<br> pls answer for points

Gwar [14]

Answer:

Step-by-step explanation:

5 0

4 years ago

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If pqrs is a square solve for x what do I do?

ICE Princess25 [194]

Answer:

x = 11

Step-by-step explanation:

Properties of a square,

1). Diagonal of a square bisect the opposite angles.

2). All interior angles of a square measure 90°.

From these properties,

m∠PQR = 90°

Since, diagonal QS bisects angle PQR,

m∠PQS = m∠RQS = 45°

(6x - 21)° = 45°

6x = 45 + 21

6x = 66

x = 11

3 0

3 years ago

A machine can grade 30 tests in 2 minutes. At this rate, how long will it take the machine to grade 135 tests?

Nonamiya [84]

Answer:

9 minutes

Step-by-step explanation:

(2 min(60 s/min)) / 30 test = 4 s/test

135 test(4 s/test) = 540 s

540s / 60 s/min = 9 min

8 0

3 years ago

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