The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.

Answer:

[tex]y = -4x + 5[/tex]

Step-by-step explanation:

We want to find the equation of the line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]

And which passes through the point (2, -3).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.

We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]

Substitute:

[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]

Simplify:

[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]

Distribute:

[tex]y + 3 = -4x +8[/tex]

And subtract:

[tex]y = -4x + 5[/tex]

In conclusion, our equation is:

[tex]y = -4x + 5[/tex]

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

Answer: Well 100g is 100 grams so 100 grams?

Step-by-step explanation:

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

7r = -28

r = -28/7

r = -4

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

Add 3r to each side

4r + 13+3r = -15 -3r+3r

7r +13 = -15

Subtract 13 from each side

7r+13-13 = -15-13

7r = -28

Divide each side by 7

7r/7 = -28/7

r = -4

Answer:

-7j + 3

Step-by-step explanation:

Combine like terms:

-5j + (-2j) = -7j

-7j + 3

Answer and Step-by-step explanation:

Simply combine the values together.

-5j - 2j + 3

-7j + 3 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]

I hope I helped you^_^

Answer:

[tex]6x^3+x^2-9x+10[/tex]

Step-by-step explanation:

[tex](3x+5)(2x^2 - 3x+2)[/tex]

Distribute

[tex]3x(2x^2-3x+2)+5(2x^2-3x+2)[/tex]

Distribute

[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]

Distribute again

[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]

Combine like terms

[tex]6x^3+1x^2+6x-15x+10[/tex]

Multiply by 1

[tex]6x^3+x^2+6x-15x+10[/tex]

Combine like terms

[tex]6x^3+x^2-9x+10[/tex]

Answer:

[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]

Answer:

8/5

Step-by-step explanation:

...................

smg membantu, mff kl slh

Answer:

y = 39

Step-by-step explanation:

550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y

550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y

550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y

550 = 11 x 11 + y

[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

Answer:

C

Step-by-step explanation:

the square root of 64 is 8ft

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Step-by-step explanation:

Use the distance formula:

(x2, y2) with (x1, y1)

[tex] d \: = \sqrt{( x2 \: - \: x1) {}^{2} \: + \: (y2 \: - \: y1) {}^{2} } [/tex]

Find the lengths of each segment one at a time.

For AC:

A(-3,8) C(0,2)

[tex]d = \sqrt{( - 3 - 0) {}^{2} + (8 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{9 + 36} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For BC:

B(6,5) C(0,2)

[tex]d \: = \sqrt{(6 - 0) ^{2} + (5 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{36 + 9} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For CD:

C(0,2) D(2,-4)

[tex]d \: = \sqrt{(0 - 2) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]d \: = \sqrt{4 + 36} [/tex]

[tex]d \: = \sqrt{40} = 2 \sqrt{10} [/tex]

With all the segment lengths found, we can conclude that segments AC and BC have the same lengths.

Answer:

8,000 - (-400)

Step-by-step explanation:

Answer: 8,000 - (-400) =

Step-by-step explanation:

Answer:

sum 14, difference -8, product 33, quotient 3/11

Step-by-step explanation:

Sum: add

3 + 11 = 14

Difference: subtract

3 - 11 = -8

Product: multiply

3 * 11 = 33

and quotient: divide

3 / 11

(we can leave it like this as a fraction)

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

Answer:

Looks like it's 1.

Step-by-step explanation:

Since it is a positive slope and it goes up 1 unit, the slope is 1.

Hey there! I'm happy to help!

We have $100.75 to spend.

Each spool costs $3, and we have 24 spools.

3×24=72

Each glue costs $1 and we have 7 packages of glue.

7×1=7

We add up these expenses.

72+7=79

And we subtract from our total amount.

100.75-79=21.75

So, Joanna has $21.75 left after buying these things.

Have a wonderful day and keep on learning! :D

Answer:

21.75

total money she has is 100.75

1 spool of ribbon $3

she buys 24 spools = 24X3

$72

1 glue cost $1

so 7 package glue cost =7X1= $7

money that he left is equals to 100.75- 79

=21.75

[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]

I hope I helped you^_^

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

-.27 = -m/4

Multiply each side by -4

-.27 * -4 = -m/4 *-4

1.08 = m

Answer:

Multiplication

Step-by-step explanation:

Multiplication

this is loki ez

but just go in order

Answer: F

Step-by-step explanation:

A square is always positive:

[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]

Answer:

F.

Step-by-step explanation:

The expression (x - 3)^2 is always >= 0.

The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.

The range of g(x) is all real numbers >=  1.