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2 years ago

Please help me understand how to do this and the answer!

1 answer:

6 0

Turn F(x) into vertex form:

y=x^2+8x+6
y-6=x^2+8x
y-6+16=x^2+8x+16
y+10=(x+4)^2
Thus the vertex is (-4,-10)

This is a minimum because the parabola is up up, or is positive

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

2 years ago

Read 2 more answers

What is the name of this triangle

Sonja [21]

Answer:

right triangle

Step-by-step explanation:has a right angle

3 0

2 years ago

Read 2 more answers

if the value of c is negative, you would need zero pairs to model the factorization of the polynomial. the x-tiles on the board

Yuliya22 [10]

Answer:

value of c is negative

constant are in factor bla bla.

Step-by-step explanation:

6 0

1 year ago

What value of x is in the solution set of 3(x – 4) > 5x + 2?

bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

$3(x - 4) > 5x + 2$

Now let's simplify by using distributive property,

$3x - 12 > 5x + 2$

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

$3x - 12 - 5x - 2 > 0$

$- 2x - 14 > 0$

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

$\dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2}$

$x + 7 < 0$

Now subtracting -7 from both sides,

$x + 7 - 7 < 0 - 7$

$x < - 7$

Or, Interval of the equal $(- \infin, -7 ]$

#CarryOnLearning

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3 0

2 years ago

In which number does the digit 5 have ten times the value of the digit 5 in 1,452

Salsk061 [2.6K]

Answer:

Tens place

Step-by-step explanation:

5 0

2 years ago