What is the equation of the line that passes through the point (−8,−7) and has a slope of 1?

Answers

Answer 1

Answer:

y = x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 8, - 7 ) into the partial equation

- 7 = - 8 + c ⇒ c = - 7 + 8 = 1

y = x + 1 ← equation of line


Related Questions

How do I find the slope of the line?

Answers

Answer:

Use the following formula:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Step-by-step explanation:

Use "change in y over change in x"

-> See attached for more

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

TOSSING A NUMBER cube numbered from 1 to 6 and getting and even number that is greater that or equal to 2

Answers

Answer:

the probability is 3/5

Step-by-step explanation:

you have the numbers 2, 4, 6

and the numbers 3, 5

the 1 doesn't count, the question says numbers greater than or equal to 2

so, the remaining numbers add up to 3/5

An electrician bought 80 feet of electrical wire and used 55 feet of it. What percent of the wire went unused? 22% 25% 31. 25% 45. 5%.

Answers

Answer: it's 31.3 percent.

Step-by-step explanation:

55 feet of 80 is 68 percent, to find the remainder you need to subtract 68 by 100, and with that, you get 31.3 percent.

if you want that in feet it's about 25 feet

what is the slope of the line???

Answers

Answer:

slope: 2 as we see, with every increase in x, y increase twice the more.

Step-by-step explanation:

we can can see the y-intercept at 1.so equation: y = 2x + 1

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

A tray of cake samples contains a variety of flavors.

vanilla 25
strawberry 1
lemon 2
red velvet 3
chocolate 2

What is the probability that a randomly selected piece of cake will be red velvet?

Write your answer as a fraction or whole number.

Answers

Answer:  1/11

Step-by-step explanation:

The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.

Therefore, it would be 3/(25+1+2+3+2)

= 3/33

= 1/11 when simplified

IM MARKING BRAINLEIST SO PLS BE QUICK IS DUE IN MINS

Answers

Answer:

x^2y−7xy+10xy^2

Step-by-step explanation:

(the first y isn't up but I tried)

anyways, hope this helped! :)

Answer:

[tex]4x^2y-7xy+10xy^2[/tex]

Step-by-step explanation:

We have [tex]\left(6x^2y-8xy+7xy^2\right)+\left(3xy^2-2x^2y+xy\right)[/tex] and need to add them together.

Though complicated at first, we can simplify by taking out the parenthesis and making this whole question into one equation.

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

Now combine like terms, meaning you can only add the terms that have the same ending, in math, you cannot add numbers that have different exponents or variables.

Therefore:

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

[tex]6x^2y-2x^2y-8xy+xy+7xy^2+3xy^2[/tex]

[tex]4x^2y-7xy+10xy^2[/tex]

A person standing in the ground throws a ball onto a flat rooftop. The ball rolls around for several seconds. Then the ball falls off the roof, into a puddle of mud. (Please help asap) it’s due shortly!

Answers

Answer:

Graph D

Step-by-step explanation:

According to the question, the correct graph is D.

It's not A because, the ball is thrown after some pause and the ball doesn't roll on the roof, falls immediately.

It's not B or C because the ball goes up after reaching the roof but should fall down.

Solve the following expression and type your result in the empty box provided below as a decimal. ​ 5 3/10 -9/10

Answers

Answer:

So the answer is that 5 3/10 as a decimal is 5.3. 9/10 as a decimal is expressed as 0.9.

Step-by-step explanation:

To convert any fraction to its decimal form, we just need to divide the numerator by the denominator.

In this case, we divide 9 by 10, 9 ÷ 10 = 0.9

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.


Hope this helps!

What is the exact value for the expression V52 - V13 + V117 ? Simplify if possible. (5 points)
O 413
O V13
O 21/39
O 839
PLS DON'T ANSWER IF YOU DON'T KNOW

Answers

Answer:

[tex]4\sqrt{13}[/tex]

Step-by-step explanation:

[tex]\sqrt{52} -\sqrt{13} +\sqrt{117} =[/tex][tex]\sqrt{4*13} -\sqrt{13} +\sqrt{9*13} =[/tex][tex]2\sqrt{13}-\sqrt{13} +3\sqrt{13} =[/tex][tex]4\sqrt{13}[/tex]

The exact value for the expression √52 – √13 + √117 given in the question above is 4√13

Surd operation

a√b + c√b = (a + c)√b

With the above information in mind, we can simplify the express given in the question above.

Data obtained from the question √52 – √13 + √117Simplification =?

How to simplify the expression

√52 – √13 + √117

Recall

√52 = √(4 × 13) = 2√13

√117 = √(9 × 13) = 3√13

Thus

√52 – √13 + √117 = 2√13 – √13 + 3√13

√52 – √13 + √117 = (2 – 1 + 3)√13

√52 – √13 + √117 = 4√13

Learn more about surd:

https://brainly.com/question/24700530

If there are 32 boys and 8 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

32 : 8

8 : 2

4 : 1

Step-by-step explanation:

32 : 8

8 : 2 (32/4 = 8, 8/4 = 2)

4 : 1 (32/8 = 4, 8/8 = 1)

Hope this helps!

help me with angle sum theorem please

Answers

Angle x must be 80° because 180°-100°= 80°
Sum of triangles Angela are 180°
So y=180°-80°-45°
Y=55°

Answer:

y = 55°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of the triangle , then

y + 45° = 100° ( subtract 45° from both sides )

y = 55°

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1.

Answers

The equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

What is power rule of logarithmic function?

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

[tex]n\log_b(M)=\log_b(M)^n[/tex]

Given information-

The logarithmic equation given in the problem is,

[tex]3\log_2(2x)=3[/tex]

Using the power rule of the logarithmic function,

[tex]\log_2(2x)^3=3[/tex]

Using the exponent rule of the logarithmic function the above equation can be written as,

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

Solve it further,

[tex]8x^3=3\\x^3=1\\x=1[/tex]

Hence, the equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

its B on edge

Step-by-step explanation:

(3.4 x 10^-15) +(8.1 x 10^-14) help please, show work thank you

Answers

Answer:

see below

Step-by-step explanation:

1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]

2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]

3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]

4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].

[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]

5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]

6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].

[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]

AABC with vertices A(-4, 3), B(-2,-1) and C(-1, 3) is translated by 3 units right and 2 units up, then
it is rotated 90° counterclockwise about the origin. The new image of the triangle is represented by
ABC
What are the coordinates of A'?



Answer :

A. (0,-2)

B. (-5,-1)

C. (-5,1)

D (5,0)

Answers

Answer:

C

Step-by-step explanation:

(-4, 3) 3 units right = +3x = -1

(-1, 3) 2 units up = +2y = 5

(1, 5) A rotation of 90° counterclockwise around the origin can be described in mathematical terms as (x, y) → (−y, x).

(1, 5) → (-5, 1), or C

Answer:

B. (-5, -1)

Step-by-step explanation:

Since we're solving for A :

A (-4, 3) translated 3 units to the right and 2 units up would be A (-4 + 3, 3 + 2), which is A' (-1, 5). Then, we have to rotate it 90 degrees clockwise. This would be (-5, -1), as the formula states (x, y) -> (-y, x), which means the x stays the same but goes to the 'y' position, and the y sign changes and goes to the 'x' position.

So, it would be (-5, -1) :)

11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started his trip. What is his displacement?

Answers

Answer:

0

Step-by-step explanation:

Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.

Displacement = final point - initial point

(both are same)

= same - same

= 0

mia estimated 5/8 + 1/9 by replacing 5/8 with 1 and 1/9 with 0. her estimated sum was 1+0=1. explain why mias estimate is not accurate

Answers

Answer/Step-by-step explanation:

5/8 is not close to 1 in this context. If you want to be accurate, don't estimate. Add the 2 numbers.

Brainliest?!

Please I could use all the help (no URL links)

Answers

Answer:

(6, 2)

Step-by-step explanation:

3(6) - 2 = 16

6 - 5(2) = -4

Find the probability of finding number less than or equal to 10.

Answers

1 is the answer

Step-by-step explanation:

Number of possible outcomes = 10

Total number of outcome = 10

Probability = [tex] \frac{Number \: of \: possible \: outcomes}{Total \: number \: of \: outcome}[/tex]

[tex] = > \frac{10}{10}[/tex]

[tex] = > 1[/tex]

Hence, the probability of finding number less than or equal to 10 is [tex]1[/tex]

Is (-3-2c)/(-3) the same as (2c+3)/(3)??
(I believe they are the same, but just checking.)

Answers

Answer:

Yes, they're the same.

Step-by-step explanation:

-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.

solution set of 2x+4 greater than or equal to -8

Answers

Step-by-step explanation:

equal because of the 8+7

Answer:

x \geq -6

Step-by-step explanation:

2x+4 \geq -8

    -4       -4

2x \geq -12

/2        /2

x \geq -6

a. 6798,5 ÷ 135

b. 987,46 ÷ 322

c. 567, 6 ÷34

Answers

Answer:

A =50,35925926

=50,36

B=3,066645963

=3,07

C=16,69411765

=16,7

Hope this is what u looking for,

I will send a pic give me a minute

What is the value of x?

Answers

Your answer should be 73. This is because all the interior angles of a triangle equate to 180

If I’m correct, could you please give me brainliest?

What is the solution to f(x)= g(x), if f(x)=-x and g(x)=x

Answers

Answer: 0

Step-by-step explanation:

By substituting the f(x) = -x and g(x) = x into the first equation, we get -x = x so the only answer to the question is 0

What the answer to this is ?

Answers

Answer:

a.  median 1.5

Step-by-step explanation:

If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.

5 = 4x + 13
Solve for X

Answers

Answer:

5=4x+13

4x+13=5

4x=5-13

4x= -8

x = -8÷4

x = -2

# be careful£

5=4x+13
-13 -13
-8=4x
-8/4=4x/4
-2=x
So X is equal to -2

I need help with these inequalities

Answers

⬇️(WORK SHOWN BELOW)⬇️

need help ASAP 1st correct answer gets brainliest

Answers

Answer:

22 1/2 degrees

Step-by-step explanation:

4 x 5 = 20

(1/2) x 5 = 2.5

Answer: 22.5 degrees

Step-by-step explanation:

If it fell 4.5 degrees each hour, and there were 5 hours, 4.5x5 == 22.5

Sofia leans a 28-foot ladder against a wall so that it forms an angle of 67^ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

23.43 feet

Step-by-step explain

by my accurate accusations

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

14

Step-by-step explanation:

8×7=56

4×?=?

?= 56÷4

?= 14

Answer:

Divide the numerator by the denominator.

Step-by-step explanation:

Use the distributive property to remove the parentheses.
(v + 10)7

Answers

Answer:

7v+70

1v x 7=7v

10 x 7=70

Step-by-step explanation:

Sorry if wrong!

Answer:

the answer is

7v + 70

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