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goldfiish [28.3K]

2 years ago

11

Which equations are in standard form ? y=2x+5b 2x+3y=-6

1 answer:

Keith_Richards [23]2 years ago

7 0

Answer: 2x + 3y = -6 is standars form

Step-by-step explanation: Standard form is when the quation is written as Ax + By = C

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The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?

Aliun [14]

$LCM(x,y)=60\\
GCF(x,y)=6\\
x-y=18\\\\
LCM(x,y)=\dfrac{|x\cdot y|}{GCD(x,y)}\\
60=\dfrac{|x\cdot y|}{6}\\
|x\cdot y|=360\\\\\\
|x\cdot y|=360\\
x-y=18\\\\
|x\cdot y|=360\\
x=18+y\\\\
|(18+y)\cdot y|=360\\
|18y+y^2|=360\\
18y+y^2=360 \vee 18y+y^2=-360\\
y^2+18y+81=441 \vee y^2+18y+81=-279\\
(y+9)^2=441 \vee (y+9)^2=-279\\
y+9=\sqrt{441} \vee y+9=-\sqrt{441}\\
y=21-9 \vee y=-21-9\\
y=12 \vee y=-30\\\\
x-12=18 \vee x-(-30)=18\\
x=30 \vee x=-12\\\\
\boxed{x=30, y=12 \vee x=-12, y=-30}$

4 0

3 years ago

Read 2 more answers

If a rectangular prism with a length of 12 feet and width of 9 feet has a surface area of 930 square feet, find its height.

MaRussiya [10]

Answer:

17 feet

Step-by-step explanation:

A=2(wl+hl+hw)

5 0

3 years ago

Read 2 more answers

Find the equation of a line with slope 1/2 and y intercept -1

Mrac [35]

If you use slope-intercept form, Y =mx+b

m is equal to the slope,
and b is the y intercept.

Y= (1/2)x+ (-1)

or
Y = (1/2)x-1

4 0

2 years ago

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s

Margaret [11]

Answer:

$QR = 6.0033$

$QS = 8.22$

$RS = 6.0033$

QRS is isosceles

Step-by-step explanation:

Given

See attachment for complete question

From the attachment, we have the following parameters $QR = \sqrt{(-3-0)^2+(-5.2-0)^2}$

$QR = \sqrt{9+27.04}$

$QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}$

$QS = \sqrt{64+3.53} = \sqrt{67.53$

$RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}$

$RS = \sqrt{(25 + 11.04}$

Solving further, we have:

$QR = \sqrt{9+27.04}$

$QR = \sqrt{36.04}$

$QR = 6.0033$

$QS = \sqrt{64+3.53} = \sqrt{67.53}$

$QS = 8.22$

$RS = \sqrt{25 + 11.04}$

$RS = \sqrt{36.04}$

$RS = 6.0033$

From the calculations;

$RS = QR = 6.0033$

<em>This means that: QRS is isosceles</em>

8 0

2 years ago

The probability of choosing a blue marble is 25%. you do experiment and draw a marble 200 times (and replacing the marble drawn

rjkz [21]

50 since 200/4 is 50

7 0

2 years ago