Solve by completing the square:
x2 + 2x-8= 0
-8
a.
x = -4 or 2
b. X= 4 or 2
-
=
c.
x= -4 or - 2
d. X= 4 or - 2
x

Answer:

A

Step-by-step explanation:

You can think about it as an equation without the inequality:

y = 5 - x        OR       y = -x + 5

Slope = -1

Y-intercept = 5

Graph B is a horizontal line with a slope of zero and y-intercept of 2. Graph A is the only one that fits the above parameters.

Hope this helps!

Answer:

a

Step-by-step explanation:

1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:

First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.

Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.

Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)

Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.

Steps:

First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.

Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.

Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x

Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

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Answer:

Step-by-step explanation:

You want the equations of lines ...

The equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.

  8y +5x +c = 0

  8(5) +5(8) +c = 0

  80 +c = 0

  c = -80

The equation of the desired line is 8y +5x -80 = 0.

The given equation is in slope-intercept form, so we can identify the slope as ...

  y = mx +b = 7/4x +9/4

  m = 7/4

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line

The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...

  y = -4/7x

__

Additional comment

The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.

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Answer:

the answer will be 5

Step-by-step explanation:

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:

so you should add 6 to 13 in case to find 19, then add 6 to 19 to get to 25.

so the first is 13 and we keep adding 6 to get to the answer. we do it 47 times. so we have 13+ (6) (47) = 295 which is the 48th term.

The 12th term of the arithmetic sequence13, 19, 25,... is 79.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, an arithmetic sequence 13, 19, 25,...

The first term a₁ = 13 and the common difference is = (25 - 19) = (19 - 13) = 6.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1).d.

∴ The 12th term of this arithmetic sequence is a₁₂ = a₁ + (12 - 1).d

a₁₂ = 13 + (12 - 1).6.

a₁₂ = 13 + 11.6

a₁₂ = 13 + 66.

a₁₂ = 79.

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Answer:

Height of the triangle = 12 feet

Base of the triangle = 19 feet

Step-by-step explanation:

Let the height of the triangle be x feet

-> Base of the triangle = (x + 7) feet

[tex]A(\triangle)= 114\: ft^2[/tex]

[tex]\because A(\triangle)=\frac{1}{2}(base)(height) [/tex]

[tex]\implies 114=\frac{1}{2}(x+7)(x) [/tex]

[tex]\implies 114\times 2= x^2+7x[/tex]

[tex]\implies 228= x^2+7x[/tex]

[tex]\implies x^2+7x-228=0[/tex]

[tex]\implies x^2+19x-12x-228=0[/tex]

[tex]\implies x(x+19)-12(x+19)=0[/tex]

[tex]\implies (x+19)(x-12)=0[/tex]

[tex]\implies (x+19)=0,\:\:(x-12)=0[/tex]

[tex]\implies x =-19,\:\:x=12[/tex]

x represents the height of the triangle.

-> x can not take negative value.

[tex]\implies x\neq -19[/tex]

[tex]\implies x = 12[/tex]

[tex]\implies x +7= 12+7=19[/tex]

Thus,

Height of the triangle = 12 feet

Base of the triangle = 19 feet

Answer:

Step-by-step explanation:

The score Julia has to have on her last test to have an A for the term is 102.

The first step is to determine the sum of her scores on the first three tests: 85 + 88 + 97 = 270

Now determine the score on the last test that would give an average of 93

(270 + x)/ 4 = 93

270 + x = 93 x 4

372 - 270 = x

x = 102

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Answer:

I would say False

Answer:

243

Step-by-step explanation:

999-100= 899 integers

200s 400s 600s 800s excluded so 400 numbers excluded

899 - 400 = 499

20s 40s 60s 80s which are 40 integers x 4 = 160

499 - 160 = 339

2s 4s 6s 8s which are 4 integers x 6 x 4 ( 4 from each 100 ) = 96

339 - 96 = 243 integers

Answer:

28.42 feet

Step-by-step explanation:

Given

To Find

Solving

Answer:

28.4 feet

Step-by-step explanation:

The question can be solved by using Pythagoras Theorem.

Given:-

Height of tree :- 18 feet (Perpendicular)

length of shadow :- 22 feet (Base)

To find:-

Distance of shadow from the end to the top of the tree

Solution:-

We know the Pythagoras theorem,

Which is , H² = P² + B²

So putting the given value , we get

H² = 18²+22²

H² = 324 + 484

H = √ 808 feet

H = 28.4 feet

Answer:

42,40,58

Step-by-step explanation:

The simulation of the virtual dice roller illustrates combination and sample space

There are 36 different ways you can dress every morning

The sample space of the two dice are:

Die 1 = {1,2,3,4,5,6}

Die 2 = {1,2,3,4,5,6}

From the above sample space, we have the sample size to be:

n(Die 1) = 6

n(Die 2) = 6

The sample size of the experiment would be:

n = n(Die 1) * n(Die 1)

Substitute known values

n = 6 * 6

Evaluate the product

n = 36

The above represents the different ways you can dress every morning.

Hence, there are 36 different ways you can dress every morning

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Answer:

15x+170≤1500

Step-by-step explanation:

it is at most 1500, so less than or equal to 1500, and the 15 lbs relies on the number of boxes so 15x and carl weighs 170 so that must be added, equaling to

15x+170≤1500

Answer:

K. 8

N. 12

A. 29

H. 5

I. -297

G. 89

T. 50

S. -7

W. 165

WHAT'S SHAKING

Answer:

K: 8

N: 12

A: 29

H: 5

I: -297

G: 89

T: 50

S: -7

W: 165

WHATS SHAKING [Answer]

Step-by-step explanation:

Please rate!!

Answer:

3, 6, 9

Step-by-step explanation:

an=3n

a(1)=3(1)= 3

a(2)=3(2)= 6

a(3)=3(3)= 9

Answer:

add two side by side values

Step-by-step explanation:

there are 5 values at the base of the pyramid.

4, 6, 3, 7 and 2

let's look at 6 and 3 first. when you add them together, you will get 9, which make up the upper layer of the pyramid. we can also support this statement when you add 7 with 2, which is also 9. so when you take 4 and add with 6, you will get 10, when you add 3 and 7, you will get 10.

now, let's see the second bottom layer. we get the answers as 10 in both blanks. so, add 10 with 9 and you will get 19, repeat with the other. so, the third layer will be 19, 19 and 19. to make the third layer complete, add 19 with 19, which will be 38. so, the fourth layer will be 38 and 38. add 38 with 38 and you will get 76 at the top of the pyramid.

Answer:

4squared is 16 so 16×16=256

hope it help

Answer:

4^2=16 multiplyin 16 by 16 gets you 256

Step-by-step explanation:

[tex]v(y) = 0[/tex]

[tex] - 32t + 105 = 0[/tex]

[tex]t = \frac{ - 105}{ - 32} = 3.28[/tex]

[tex]h = - 16(3.28) {}^{2} + 105(3.28) + 17[/tex]

[tex]h = 189.26[/tex]

Answer:

¹

Step-by-step explanation:

Average Rate of Change is

ts

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

Here b is pi, a is pi/2,

[tex] \cos(\pi) = - 1[/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

So we have

[tex] \frac{ - 1 - 0}{ \frac{\pi}{2} } = \frac{ - 1}{ \frac{\pi}{2} } [/tex]

Answer:

-2/pi

Step-by-step explanation:

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

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Answer:THE ANSWER IS B MY GUY

Step-by-step explanation:

Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).

Answer:

Step-by-step explanation:

KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L

KL is a tangent line, so ∠JKL = 90°,

so m∠J = 45°

Answer:

3/15

Step-by-step explanation:

there is 15 kinds of fruit totally

4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15

there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15

f(x) = x² + 3x - 2

f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4

Answer:

C. rectangle (not a square)

Step-by-step explanation:

So image that the wire just sliced that piece of the cube right off:

It would give you a triangular prism,

HOWEVER, this is asking for the cross section:

The part of this triangular prism that was actually connected to the cube

and in this case, it would show that the bottom of the cut off part is rectangle.

You can also think of this as: What shape would be left over on the cube?

Cutting this piece off would give you a shape left over that is a rectangle.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:b(b + 12) = 0[/tex]

Here, we have two cases :

[tex]\qquad \sf  \dashrightarrow \:b = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b + 12 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b = - 12[/tex]

Hence, 0 and -12 are the only possible solutions for given equation.