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Ksju [112]
2 years ago
9

Which equation Can pair with x-y=-2 to create a consistent and dependent system

Mathematics
2 answers:
harina [27]2 years ago
5 0

Given linear equation in standard form  x-y=-2.

Let us convert it in slope-intercept form first.

x-y =-2.

Subtracting x from both sides

x-x-y = -2-x

-y = -x-2.

Dividing both sides by -1, we get

y= x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m= 1 and y-intercept b=2.

Let us check option -3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y= 1x +2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept =2.

So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.

ivann1987 [24]2 years ago
3 0

Answer:

b

Step-by-step explanation:

edg 2020

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8 0
2 years ago
A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
Neko [114]

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = \frac{300}{20}

= 15 kilometers

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4 0
2 years ago
Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro
Makovka662 [10]

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

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6 0
2 years ago
Read 2 more answers
Explain (1+y)^2 how does it turn into 1+2y+y^2 ? i don't understand
Greeley [361]
I will show you the steps on how you get that answer and if you have any questions after that let me know and I'd be more than happy to help answer them for you.
The first step for solving (1 + y)² is to use the equation (a + b)² = a² + 2ab + b² to expand the expression.
1² + 2 × 1y + y²
1 raised to any power equals 1,, so remove the power.
1 + 2 × 1y + y²
Calculate the product of 2 × 1y.
1 + 2y + y²
Finally,, use the commutative property to reorder the terms.
y² + 2y + 1
Let me know if you have any further questions.
:)
6 0
3 years ago
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