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2 years ago

What is the equation of the line that passes through the point (-3,1) and has a slope of 4/3?

Mathematics

1 answer:

kkurt [141]2 years ago

8 0

Answer:

3y-4x=9

Step-by-step explanation:

using y-y1/ x- x1=m

y-1/x--3=4/3

y-1/x+3= 4/3

3(y+1)=4(x+3)

3y+3= 4x+12

3y-4x=12-3

3y-4x=9

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A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

7 0

2 years ago

I need help on this question plz

11Alexandr11 [23.1K]

Line of symmetry is the line which cuts the figure into two same halves

or we can say that which passes through the figure such that it makes one half the mirror image of the other half

So we can see from the figure that y=-2 is the line which cuts the figure in to equal halves

y=-2

Third option

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3 years ago

What statement describes the decimal equivalent of 3/ 8 ?

HACTEHA [7]

Answer:

0.375

Step-by-step explanation: All you need to do is divide 3 and 8

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3 years ago

DUDE SOMEONE ANSWER THIS QUESTION

son4ous [18]

The line which rises to the left has slope of -1/3 and y intercept of 2 so we have

y = -1/3x + 2

3y = -x + 6

x + 3y = 6

Shading is below and the line is solid so the inequality is

x + 3y ≤ 6

The other line has equation

y = 3x - 1

and inequality is

y ≥ 3x - 1

The answer is B

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erica [24]

Honey God is good god bless u with that hw

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3 years ago

What is the equation of the line that passes through the point (-3,1) and has a slope of​ 4/3?

What is the equation of the line that passes through the point (-3,1) and has a slope of 4/3?