what type of solutions does this equation have

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

Answer:

The surface area of door is 33 680 cm².

Step-by-step explanation:

Given that the surface area of a cuboid which is the 3D of rectangle is :

[tex]s.a = 2(l \times w) + 2(l \times h) + 2(w \times h)[/tex]

[tex]let \: l = 80 \\ let \: w = 3 \\ let \: h = 200[/tex]

[tex]s.a = 2(80 \times 3) + 2(80 \times 200) + 2(3 \times 200)[/tex]

[tex]s.a = 2(240) + 2(16000) + 2(600)[/tex]

[tex]s.a = 480 + 32000 + 1200[/tex]

[tex]s.a = 33680 \: {cm}^{2} [/tex]

Answer:

-x^3 -3x+2

Step-by-step explanation:

f(x) = -3x +2

g(x) = x^3

(f-g)(x) = -3x +2 - x^3

          = -x^3 -3x+2

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Explanation:

Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.

If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.

------------

Or put another way,

8^x = 1

8^x = 8^0 ... replace the 1 with 8^0

x = 0 ... the bases are equal (to 8) so the exponents must be equal

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You can use the change of base formula to directly calculate this log

[tex]\log_8(1) = \frac{\log(1)}{\log(8)} = \frac{0}{0.903} = 0[/tex]

Answer:

Step-by-step explanation:

Multiplication property

if x=y

then  x*z=y*z

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different, hence they cannot be added.

Answer:

x = -7 ±√5  /2

That is;

x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

To find the solutions to the equation, we will follow the steps below

(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)

let u = 2x + 3

we will replace 2x+ 3 by  u  in equation (1)

u² + 8u + 11 = 0  -----------------------------------------------------------------------------(2)

we will solve equation (2) using  the formula method

a=1   b=8     and c=11

u = -b ± √b² - 4ac  /2a

u = -8 ±√(-8)² - 4(1)(11)    /2(1)

u = -8 ±√64 - 44    /2

u = -8 ±√20    /2

u = -8/2  ± √20/2

u= -4 ± √20/2

u= -4 ± √5×4   /2

u= -4 ± 2√5 /2

u= -4 ± √5   ---------------------------------------------------------------------------(30

but u = 2x + 3

Substitute u =2x+3 in equation (3)

2x + 3 = -4 ± √5

subtract 3 from both-side of the equation

2x + 3-3 = -4 -3 ± √5

2x = -7±√5

Divide both-side of the equation by 2

2x/2 = -7 ±√5  /2

x = -7 ±√5  /2

Answer:

the answer is b

Step-by-step explanation:

i took the test

Answer:

124 students

Step-by-step explanation:

let number of boys be 11x and girls be 9x.

A.T.Q 124 more boys than girls

equation=

11x = 9x + 124

11x- 9x = 124

2x = 124

x = 124/2 = 62

boys= 62 * 11 = 682

girls= 62 * 9 = 558

total = 558+682 = 1240 students

Answer:

0.027

Step-by-step explanation:

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

Answer:

x = (A t)/4 + (p t)/4

Step-by-step explanation:

Solve for x:

A = (4 x)/t - p

A = (4 x)/t - p is equivalent to (4 x)/t - p = A:

(4 x)/t - p = A

Add p to both sides:

(4 x)/t = A + p

Multiply both sides by t/4:

Answer: x = (A t)/4 + (p t)/4

Answer:

There are 33 students

Step-by-step explanation:

Because 7:4 should be in multiple of 11

Answer:

40.8

Step-by-step explanation:

Just took the test

Answer:

40.8 yd

Step-by-step explanation:

just took the test too! :D

have a miraculous day!! <3

Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

Answer:

13.7

Step-by-step explanation:

3x=41

x is around 13.7

Answer:

x = [tex]\frac{41}{3}[/tex]

x ≈ 13.7

Step-by-step explanation:

[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]

41/3 = 13.66666666....

13.666... ≈ 13.7

Answer: 30% or 3/10.

Step-by-step explanation: To find the probablilty of getting a white shirt, we first have to find the total number of shirts: 3 white + 2 blue + 5 red = 10 total. Out of the ten total, there are 3 white shirts. The probability of getting a white shirt is 3/10, because out of the 10 total shirts, 3 shirts are white.

Answer:

Step-by-step explanation:

[tex]Probability = \frac{Events}{Possible- outcomes} \\Total -no -of -shirts=3+2+5=10\\Event = 3 \\Probability = \frac{3}{10}[/tex]

I hope i am correct

Answer:

[tex]4 - 22 - 115[/tex]

answer is yes...........

Answer:

<1 = 48

Step-by-step explanation:

<1 + <2 + <3 = 180 since they form a line

<1 + 90+ 42 =180

Combine like terms

<1 + 132 =180

Subtract 132 from each side

<1 +132-132 =180-132

<1 = 48

Answer:

48 is the answer

Step-by-step explanation:

Answer:

[tex]-10x^9y^4[/tex]

Step-by-step explanation:

Answer:

-10x9y4

Step-by-step explanation:

When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!

Answer:

You divide the perimeter by the width to get the length

Step-by-step explanation:

Answer:

the answer

the question is not very clear, 

its complement may be Which is equivalent to 16 ^ 3/4x?

-4√16^3x

-4√16^3

-3√16^4x

-3√16^4

perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^  (3 / 4x)  

or - [16 ^  (3 / 4)]  x 

If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this

if the question is 16 ^  (3 / 4x), it is equivalent to 4x-th root of 16^3

so if the question is - [16 ^  (3 / 4)]  x 

so - [16 ^  (3 / 4)]  x  =( - 4√16^3)x  it is 4th root of 16^3 times x

so the choice is -4√16^3x

Step-by-step explanation:

Answer:

x=−6

Step-by-step explanation:

Answer:

C. x = -6

Step-by-step explanation:

[tex]2(3x + 7) = -22.\\Step -1: Multiply-through-by-two\\6x + 14= -22\\Collect -like-terms.\\6x= -22-14\\6x =-36\\Divide-both-sides-of-the-equation-by 6\\ = x= -6[/tex]

Answer:

A =7.02 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases

A = 1/2 ( 4.5+6.3) * 1.3

A = 1/2(10.8) * 1.3

A =7.02 m^2

the number=A

5xA/7+A=2

5A/7 +A =2

5A/7=2-A/1

7(2-A)=1(5A)

14-7A=5A

14=5A+7A

14/12=12A/12

A=14/12

A=7/6

Answer:

22

Step-by-step explanation:

1: 3+9 = 12

2: + 10 = 22

The correct answer for this question is 22.

Please mark brainliest

Hope this helps.

Answer:

Y=1/2x-3

Step-by-step explanation:

Down 3 at the y-axis and up 1 right 2.

Answer:

So we can simplify this to

36+4x=-1

We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is

x = -37/4 = -9.25.

So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.

Answer:

Runner 2 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second  is 8.5 minutes per mile

The third we need to find the slope

m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile