In slope-intercept form, write the equation of the line parallel to y=3x+4 that passes through (−5, 8).

y=_x+_
fill in the blanks

[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]

now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation

[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]

let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal.  So what's the solution to that?  well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.

The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.

Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,

ax²+bx+c=0

For the above equation, the quadratic formula can be given as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The equation of variable x is given as,

h(x) = 7x²-45x + 12,

The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.

18 = 7x²-45x + 12

0= 7x²-45x + 12-18

0=7x²-45x -6

Find the roots of the equation using the quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]

Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.

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Answer:

256cm

Step-by-step explanation:

I'm assuming 16 and 16 are the 2 legs of the triangle.

The equation to get the area of a triangle is b x h /2

16cm x 16cm / 2 = 128cm

128cm x 2 triangles = 256cm

Answer:

2/6 chance of landing on 2 or 3

Step-by-step explanation:

Answer:

w = 70

Step-by-step explanation:

I use the angle ABC method:

angle ABC + angle ACB + angle BAC = 180°

(w - 1)° + 73° + (w - 32)° = 180°

w = 70

HOPE THIS HELPS AND HAVE A NICE DAY <3

The linear equation that passes through points (-2,7) and (6,-9) is given by:

y = -2x + 3

A linear function is modeled by:

y = mx + b

In which:

The line passes through points (-2,7) and (6,-9), hence the slope is given by:

m = (-9 - 7)/(6 - (-2)) = -2.

Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:

y = -2x + 3.

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Answer: X = 12

Step-by-step explanation:

Answer:

good luck passing

Step-by-step explanation: -3 -2 1 x 1 2

Answer:

X=7

Step-by-step explanation:

3x+4=25 (Subtract 4 on both sides)

3x=21 (Divide by 3 on both sides)

x=7

Answer: x is a variable and the number the variable is standing for is 7

Step-by-step explanation:

3x7=21 .. 21+4=25

Answer:

$336

Step-by-step explanation:

how to find this is very simple, she raised d =(total amount of money raised) in dollars, average means we assume that with any amount of people one person gave 28 dollars each.

Our problem would read out to be d(total amount she raised) is equal to $28 times x(amount of people who sponsored her) or d = 28 * x

If 12 people sponsored her

original equation:

d = 28 * x

equation with x known(12 people)

d = 28 * 12

to solve all we do is multiply 28 times the amount of people who sponsored her, in this case, its 12.

d = 336

we know that if 12 people sponsor her d, or the total amount she raised, is equal to $336

Answer:

Answer below :)

Step-by-step explanation:

128 = $76.20132= $77.80134= $78.60144= $82.60

Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

[tex](x-7)(x+2) = 0[/tex]

FOIL:

[tex]x^2 + 2x - 7x - 14 = 0[/tex]

Simplify:

[tex]x^2 - 5x - 14 = 0[/tex]

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

[tex](x-3)^2=0[/tex]

FOIL:

[tex]x^2 - 3x - 3x +9 = 0[/tex]

Simplify:

[tex]x^2 - 6x + 9 = 0[/tex]

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

[tex]-x^2-x-3=0[/tex]

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

[tex](x+1)(x-1)=0[/tex]

This is a perfect square

FOIL:

[tex]x^2-1=0[/tex]

a = 1, b = 0, c = -1

e. x-int at [tex]\sqrt{3} , -\sqrt{3}[/tex]

our equation will factor to:

[tex](x+\sqrt{3} )(x-\sqrt{3)} =0[/tex]

This is also a perfect square

FOIL and you will get:

[tex]x^2 - 3 = 0[/tex]

a = 1, b = 0, c = -3

Answer:

Yes

Step-by-step explanation:

Because when you draw it u get a right angle

Answer:

C. 314.2 cm²

Step-by-step explanation:

Surface area for cylinder

[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.

[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.

Given information:

r = 5 cm

h = 5 cm

Insert the values into the formula and evaluate

[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]

The next step to complete the construction will connect the in-center to one of the sides of the triangle.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

Samuel is trying to construct the inscribed circle of a triangle.

Using the angle bisectors to find the in-center.

Where two angles bisector meets, the point called in-center.

Next step will be: connect the in-center to one of the sides of the triangle.

Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.

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On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.

Answer:

132 is the one to the right of it and next one going clockwise wold probably be 48 continueing clockwise the next would be 132 again

Step-by-step explanation:

For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

The given parameter is:

Perimeter = 36 units

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have;

36 = 2 * (Length + Width)

Divide both sides by 2

Length + Width = 18

This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

So, the possible table of values is:

Length  Width

  5           13

  8           10

  9           9

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Answer:

Two

Step-by-step explanation:

3,5 or 7 out of possible 12 spins

3 / 12  of the time she will win

$ 4 is   8 spins

8 spins * 3/12 = 2 wins

ANSWER
2 prizes

Step-by-step explanation:

$4 ÷ $0.5 = 8

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

5+7 = 12

3/12

P(win) = 3/12 simplified is  1/4

(1/4) × (8) = 2

Therefore, the answer is two prizes

Answer:

138, 460 m²

Step-by-step explanation:

How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.

Answer I think it is a

Step-by-step explanation: A

Answer:

People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32

Step-by-step explanation:

69 bc it is the difference between the largest number and the smallest number