graph the solution to the following equation: x+y= -8​

Answer:

Equation is y = -1/7x - 50/7   or    y = -1/7x - 7 1/7

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

y = 7x - 5  This equation slope = 7 because the slope is the coefficient of the x-term.  

The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)

Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).

y = mx + b

-6 =  -1/7(-8) + b

-6 = 8/7 + b

-6 - 8/7 = b

-50/7 = b

Equation is y = -1/7x - 50/7  or    y = -1/7x - 7 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]

so we know that it has a slope of -1/7 and passed through (-8,-6)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]

Answer:

20x

Step-by-step explanation:

Multiply the numbers.

4 * 5x

20x

Answer:

2/9

2 to 9

Step-by-step explanation:

Answer:

.15, -.45, -4.75

Step-by-step explanation:

put all of them into a ti84 calculator and convert to decimals and then you get your answer.

Answer:

6/40, > -9/20, > -4 3/4

because positive numbers are greater, and the smaller the negative number, the greater it is.

Answer:

answer is in the image

Step-by-step explanation:

hope you have a great day i hope its the answer

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

Learn more about the prime factorisation here:

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Answer:

D = x < — 4

R = y < — 3

Step-by-step explanation:

If any questions remains, ask in the comment <3

Answer:

15 miles

Step-by-step explanation:

if its 1/3 of an hour then every 1/3 of an hour would be 5 miles and 2/3 would be 10 so add the 1/3 and 2/3 you would have 15

Answer:

Slope Form: y-2= 8/3*x+2

Step-by-step explanation:

Answer:

2 8/12 or simplified it is 2 2/3.

Answer: 2cm represents 200km

3cm represents 300km

Step-by-step explanation:

I do not see the question

Answer:

y = 35x - 146

Step-by-step explanation:

You just have to use the point-slope equation of a line which is (y - h) = m(x - k) where (h, k) is the point given and m is the slope given. Therefore, plug in h = 4, k = -6, m = 35 into the equation to get:

(y - ( -6)) = 35(x - 4) which simplifies to

y + 6 = 35x - 140 and if you want it in standard form, it is

y = 35x - 146

Answer:

1/6^8

Step-by-step explanation:

the answer is the one right next to the submit answer

Answer:

50

Step-by-step explanation:

x=30/0.6 = 50

Answer:

50

Step-by-step explanation:

30÷60=0.5

0.5×100=50

you can reverse it so

50÷100 is 0.5

so 1 percent of 50 is 0.5

so 60 percent of 50 is 30

0.5×60=30

Answer:

43/50

Step-by-step explanation:

Answer:

43\50

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal point over 100. Reduce the fraction

Answer:

(6*3) - 5

Step-by-step explanation:

The product of 6 & 3 = 6*3 = 18

5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18

18 - 5 = 13

13 is 5 less than 18

Answer:

[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]

[tex](v) \: the \: interval \: 3 - 1[/tex]

[tex]x = 7 - p\implies x + p = 7\implies \boxed{p = 7 - x} \\\\[-0.35em] ~\dotfill\\\\ y = 3p+4\implies y = 3(7-x)+4\implies y = 21-3x+4\implies \blacktriangleright y = 25 - 3x\blacktriangleleft[/tex]

Answer:

The answer will be: [tex]\frac{1}{125}[/tex]

Answer:

-15

Step-by-step explanation:

Answer:y=-2x+3

Step-by-step explanation:

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km

Answer:

h=A/9

Step-by-step explanation:

Answer:

Federal Authority should be the answer

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

Answer:

a = 98

b = 82

c = 58

d =  122

Step-by-step explanation:

Ok so I tried to find b first since that was the easiest.

The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.

180-98=b

82=b

I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98

C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)

And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.

d+58=180

d=122

Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well

Answer:

a = 98° , b = 82°, c = 58° , d = 122°

Step-by-step explanation:

a and 98° are corresponding angles and are congruent , so

a = 98°

a and b are same- side interior angles and sum to 180° , that is

b + 98° = 180° ( subtract 98° from both sides )

b = 82°

c and 58° are corresponding angles and are congruent , so

c = 58°

c and d are adjacent angles on a straight line and sum to 180°

d + 58° = 180° ( subtract 58° from both sides )

d = 122°

Answer:

For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0

2x+10x=12x

12x+16 will be your final answer

Step-by-step explanation:

The point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.

An equation of the line is defined as the linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is y = mx + c, where m is the slope and c is the intercept cut by the y.

To calculate the ordered pair by satisfying the equation with each pair of points.

3(-6)+2(7)= -4

3(-4)+2(0)=-12 YES

3(0)+2(7)=14

3(3)+3(-3)=0

3(6)+2(0)=18

Therefore, the point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.

To know more about an equation of the line follow

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