What is the equation of the line shown below? Give your answer in slope-
intercept form.

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

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

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

12 ft maybe? i dunno im sorry if this is wrong

Answer:

£196

Step-by-step explanation:

1) 180/24=7.5

2) 40-24=16

3) 180+16=196

so he has to pay £196

Answer:

The total cost of 1 belt and 1 tie is $13 and $39 respectively.

Step-by-step explanation:

Given that,

The cost of 4 belts and 5 ties is $247.

Each tie costs 3 times as much as a belt.

Let the cost of a belt is x and that of a tie is y.

ATQ,

4x + 5y = 247 ...(1)

y = 3x ....(2)

Put the value of y from equation (2) in equation (1)

4x + 5(3x) = 247

4x + 15x = 247

19x = 247

x = 13

Put the value in equation (2)

y = 3x

= 3(13)

= 39

So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.

Answer:

5

Step-by-step explanation:

Given:

[tex]4x-6=14[/tex]

Add both sides by 6:

[tex]4x-6=14[/tex]

    [tex]+6=+6[/tex]

[tex]4x=20[/tex]

Divide by 4:

[tex]\frac{4x}{4} =\frac{20}{4}[/tex]

Solve for x

[tex]x=5[/tex]

The value of x in the equation is 5.

Given is an equation 4x - 6 = 14, we need to find the value of x,

To find the value of x in the equation 4x - 6 = 14, we can follow these steps:

Add 6 to both sides of the equation to isolate the term with x:

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 20/4

x = 5

Therefore, the value of x in the equation 4x - 6 = 14 is 5.

Learn more about equation click;

https://brainly.com/question/29538993

#SPJ6

Answer:

the first option

Step-by-step explanation:

the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept

Answer:

32

Step-by-step explanation:

its just 50 minus 18 and dont forget to borrow

Answer:

32mph

Step-by-step explanation:

So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph

So in conclusion the giraffe can run 32mph if a lion is running at 50mph

Answer:

12 ≥ x - 7

Step-by-step Explanation:

When it says twelve is at least, it means that twelve is at least equal to something and it can also be greater. And when it says a number decreased by seven, it means a number, which is the variable x because it’s unknown, minus 7. All of this can be expressed as 12 ≥ x - 7, which is true because a number, which is x, minus 7, is the smallest “thing” that 12 can equal to.

I hope you understand and that this helps with your question! :)

Answer:

False

Step-by-step explanation:

(Mark me Brainliest Please .-. )

Answer:

The answer to this question is 49＋2m.

Answer:

49 + 2m

Explanation:

49 is being Increased by so you would be adding a certain ammount to 49

Answer:

Pretty sure it's 29

Step-by-step explanation:

The triangle has to be 180 degrees so 15+36=51 180-51=29

Answer:

45°

In a triangle all the angles added together will equal 180°

Answer:

40%

Step-by-step explanation:

I pretty sure this is correct. let me know if its not and i will try again!

Answer:3. |x-3|= 1/2

Step-by-step explanation: Each terms of a certain sequence is greater than the term befor it. The difference between any two consecutive terms in the same sequence is always the same number. If the third and sixth terms of the sequence are 17 and 77, respectively, what is the 8th term?

3. |x-3|= 1/2

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

Answer:

3. a. 10:35= 2:7

b.35:45=7:9

c.40:50=4:5

Answer:

The mean absolute deviation is 19.5

Step-by-step explanation:

Hope this helps!

Answer:

B) EF

Step-by-step explanation:

A diameter the length of the line through the center that touches two points on the edge of the circle.

In this case, EF is the two points touching the edge of the circle.

Options:

H0 :

H0 : µ =12

H0 > 12> H1

None of these

Answer:

None of these

Step-by-step explanation:

The answer is

H0 : µ ≧ 12

Ha : µ<12

We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).

The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.

Answer:

(-2,10)

(-1,7)

(0,4)

(1,1)

(2,-2)

(3,-5)

Step-by-step explanation:

Answer:

your anwer is x=-1/3y+4/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

cuz 12 +16 is 28, 140÷28 is 5

Answer:

16h + 12 = 140

Step-by-step explanation:

She can ride the bike for 8 hours.

Answer:

2/5 I think I'm not sure tho :/

Answer:

Slope is -1/2 this is the answer 1 down and 2 across.

Step-by-step explanation:

Can I have brainiest

Answer:

D 7a - 11b

Step-by-step explanation:

9a- b -2a - 10b

7a - b -10b

7a - 11b

Answer:

I believe the correct answer is D.

Step-by-step explanation:

Answer:

a b

Step-by-step explanation:

Answer:

62%

Step-by-step explanation:

cross-multiply and do some algebra and boom, you have the answer

Answer:

18, 14, 20

Step-by-step explanation:

Answer:

I got A 18,14, and 20

Step-by-step explanation:

PLZ CORRECT ME IF I AM WRONG PLZ AND THANK YOU

Answer:

c

Step-by-step explanation:

the answer is quadrant 1 it's going from right to left, so this would be in quadrant 1, an negative x and positive y would be in quadrant 2, an negative x and negative y would be in quadrant 3, and a positive x and a negative y would be in quadrant 4.

Answer:

ok

Step-by-step explanation:

Answer:

No,

Step-by-step explanation:

No, GCF is not a root, it is the coefficient of x.