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4 years ago

Select the ordered pair that is the solution of this equation: -7x – 4y = 6

1 answer:

4 0

Its just a matter of subbing

-7x - 4y = 6....subbing in (-2,2)...x = -2 and y = 2
-7(-2) - 4(2) = 6
14 - 8 = 6
6 = 6 (correct)

so ur solution is (-2,2)

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The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is

alex41 [277]

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

$y=ax^{2} +bx+c$

The line of symmetry is calculated as:

$x=\frac{-b}{2a}$

Now, we have the equation $y=ax^{2}-4x+3$ and the line of symmetry is $x=-2$

Where:

$b=-4\\c=3$

So, we can replace $b$ by -4 and $x$ by -2 and solve for $a$ using the following equation as:

$x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1$

It means that the equation of the parabola is equal to:

$y=-1x^{2}-4x+3$

7 0

3 years ago

Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0

3 years ago

Help me for a cookie ;)

mylen [45]

This transformation is called a rotation:-D

3 0

3 years ago

Read 2 more answers

-18 - 3 /4 v = 3<br> I need help with this who is smart enough to solve it

Blababa [14]

Answer:

v =-28

Step-by-step explanation:

-18 - 3 /4 v = 3

Add 18 to each side

-18+18 - 3 /4 v = 3+18

-3/4 v = 21

Multiply each side by -4/3 to isolate v

-4/3 *-3/4v = 21*-4/3

v =-28

8 0

3 years ago

Read 2 more answers

fiona is going to jog once around the block she lives on. The block is retangular, and it is 180 yards long and 200 feet wide. H

prisoha [69]

Answer:

1480 feet

Step-by-step explanation:

180yd x 2 = 360yd

change to feet: 360 x 3 = 1080 feet

200ft x 2 = 400ft

1080 + 400 = 1480ft

5 0

3 years ago