through: (-5, 4), slope = -4​

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

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

-3x+2y=-12

3x+5y=33

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

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Answer:

(0,4)

Step-by-step explanation:

Given the line equation:

y = 3x + 2

Given the points :

(100, 302)

x = 100 ; y =302

302 = 3(100) + 2

302 = 300 + 2

(2, 8)

8 = 3(2) + 2

8 = 6 + 2

(0, 4)

4 = 3(0) + 2

4 ≠ 2

(9,29)

29 = 3(9) + 2

29 = 17 + 2

Answer:

40 but see below.

Step-by-step explanation:

You have to assume that the figure is a parallelogram. That is never a safe assumption, but you have to make it because there is nothing else you can do.

That being the case, to get the perimeter, you just add the sides. If say well y could be just about any value with some limitations, you would be correct.

Per = 12 + 12 + 8 + 8 = 40

Answer:

The angle of a straight line is 180 degrees.

180 degrees-71 degrees=109 degrees

Step-by-step explanation:

Answer:

£72

Step-by-step explanation:

let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x

Then

x + 3x + 6x = 10x = £240 ( divide both sides by 10 )

x = £24

Gordon gets 3x = 3 × £24 = £72

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex]     (any value raised to the power of zero equals one)

f(0) = [tex]\frac{3}{2}[/tex] · 1

f(0) = 3/2 or 1.5

Answer:

-9m-27n=

-9(m +3n)

[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]

[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]

[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]

[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]

Answer:

1 and 1/8

Step-by-step explanation:

Answer:

The answer is D. 259

Step-by-step explanation:

Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]

Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]

Step 3:

[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]

[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]

Step 4: [tex]295-36=259[/tex]

Answer:

3 or 3/1

Step-by-step explanation

the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in y over change in x.

pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.

for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.

first, substitute the x-value and y-value from the first coordinate pair.

(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)

then substitute the y-value and x-value from the remaining coordinate pair.

(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)

subtract 7 - 4.

(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)

subtract 2 - 1.

(3)/(2 - 1) ⇒ (3)/(1) or 3/1

simplify.

3/1 ⇒ 3

i hope this helps! have a great day <3

Answer:

3 feet

Step-by-step explanation:

Area of bedroom = 54 square feet.

Area of closet = Area of bedroom / 6= 54/6= 9 square feet.

Area = length * breadth

9 =  length *3

length = Area/ width

length = 9/3= 3 feet.

As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

Answer:

Midpoint is (x2+x1) /2 , y2+y1 /2)

(7-1 /2, 3+2 /2)

=(3,5/2)

Answer:

$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57

Answer:

C

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]

Answer:

Yes.

Step-by-step explanation:

Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.

Answer:

Because it bears an equal sign

Expressions don't have a definite solution to the problem.

Answer:

Step-by-step explanation: 5*x + 2 = 3*x + 8

5x - 3x = 8 - 2. Which yields. 2x = 6. Therefore, x = 3. QED

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

Answer:    The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

The given sequence 7,21,63... is geomertic in nature

The nth term is expressed as;

Tn = ar^n-1

a is the first term = 7

r is the common ratio = 21/7 = 63/21  = 3

n is the number of terms

Substitute

Tn = 7(3)^n-1

For the 12th term, when n = 12

T12 = 7(3)^12-1

T12 = 7(3)^11

T12 = 7(177,147)

T12 = 1,240,029

Hence the 12th terms is 1,240,029

For the recursive function

First term = 7(1)

2nd term T2 = 21 = 7(3)

3rd term T3 = 63 = 7(9) = 7(3^2)

Tn = 7(3^n)

Hence the recursive function is 7(3^n)

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term.  Here it's -13.  Now halve that, obtaining -13/2.  Finally, square this result.  We get 169/4.  This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0