Use the distributive property to simplify 3(4x+8).

a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24

Answer:

-0.8

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If the value of log 50 rounds to 1.7, find the value of log 6 and -3

[tex]log6 = 0.77815125038[/tex]

Subtract by 3.

[tex]log6 - 3 = 2(estimate)[/tex]

Divide by ㏒ 50

[tex]\frac{log6 - 3 }{50} = -0.8(estimate)[/tex]

________________________________________________________

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Equations of circles are typically organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

Plug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:

[tex](x-0)^2+(y-7)^2=9^2[/tex]

[tex]x^2+(y-7)^2=81[/tex]

[tex]x^2+(y-7)^2=81[/tex]

Scaled dimensions

Area:-

The area of the drawing is 71.25 square cm.

The area of Rectangle is length times of width.

The actual dimensions of the rectangle are 95 m by 75 m.

The drawing is made to a scale of 1 cm to 10 m, which means that each centimeter on the drawing represents 10 meters.

Let us find the area of the drawing

First calculate the area of the rectangle in real life, and then scale it down using the ratio of 1 cm to 10 m.

The area of the rectangle in real life is:

95 m × 75 m = 7125 square meters

To scale this down to the drawing, we need to divide both dimensions by 10.

The area of the drawing is

(95 m / 10) × (75 m / 10)

= 9.5 cm × 7.5 cm

= 71.25 square cm

Therefore, the area of the drawing is 71.25 square cm.

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Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x[/tex]

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

Answer:

14000

Step-by-step explanation:

The number in the thousands place is 4 so we look at the number after it which is 2:

Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:

So our answer is 14000.

Answer:

14000

Step-by-step explanation:

Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").

Therefore, 14295.67 rounded to the nearest thousand is 14000.

I hope this helps! Have a lovely day!! :)

[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]

Answer:

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

Step-by-step explanation:

4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y

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

Answer:

y = -5/4x + 1/4

Step-by-step explanation:

*Pependicular line have negative reciprocal slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

4x - 5y = 1 <== subtract 4x from both sides

-4x       -4x

-5y = -4x + 1 <== divide both sides by -5

/-5         /-5

y = 4/5x - 1/5

Find the Negative reciprocal of the line:

Steps:

1. Take your original slope (4/5)

2. Flip it (5/4)

3. Change the sign (-5/4)

The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)

We need to find the y-intercept (b) for the perpendicular line using (-3, 4):

y = -5/4x + b <== substitue -3 for x and 4 for y

4 = -5/4(-3) + b

4 = 15/4 + b <== multiplify both sides by 4

4(4 = 15/4 + b)

16 = 15 + 4b <== subtract 15 from both sides

-15  -15

1 = 4b <== divide both sides by 4

/4  /4

1/4 = b

y = -5/4x + b changes to y = -5/4x + 1/4

Hope this helps!

Answer:

(0,-4), (2,6), and (4, 16) are solutions to this equation.

Yes the point (-5,-29) is a solutions

Step-by-step explanation:

(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.

a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.

b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.

a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.

Let's choose three different values for x and calculate the corresponding y-values:

When x = 0: y = 5(0) - 4 = -4

So, the ordered pair is (0, -4).

When x = 2: y = 5(2) - 4 = 6

So, the ordered pair is (2, 6).

When x = -3: y = 5(-3) - 4 = -19

So, the ordered pair is (-3, -19).

b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.

Let's do the calculation:

y = 5(-5) - 4

y = -25 - 4

y = -29

Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.

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Given Equation :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

To Find :

Solution :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]

The two numbers are 2 and 11, so

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]

Finding common factors :

[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]

Whether, the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]

Or, Whether the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]

So,

Answer:

A) –11

D) 2

Step-by-step explanation:

Got it right on edge!

So,

A) → (11 + 25 ) -2

Solve :- ( 36 ) -2

B) → (11 + 25) ÷ 2

Solve :- (36) ÷2

14)

The missing value is 42.

15)

The missing value is 17.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

14)

0.5 x ( 8 + ___ ) = 25

We will write in terms of x.

0.5 x (8 + x ) = 25

8 + x = 25/0.5

8 + x = 50

x = 50 - 8

x = 42

15)

165 = 5 x ( 16 + __ )

We will write in terms of x.

165 = 5 x ( 16 + x )

165/5 = 16 + x

x = 33 - 16

x = 17

Thus,

The missing value of x is 42 and 17.

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Step-by-step explanation:

[tex]3 \times x[/tex]

[tex]3x[/tex]

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

12 + 5 = P + 360° - (90° x 2)

17 = 360°P - 180°

17 = 180° => P = 180° - 90° = 90° => P - 5 = P + (5 + 12) => P = 14 in <90 5 CM Angle, P = 14 - 1 = 13 without offset

13

Answer:

40.84

Step-by-step explanation:

5cm^2 +25cm^2=169

sqaure root of 169 =13

13= diameter

6.5= radius

2 pie r = circumference

6.5x2 pie = 40.84

Answer:

4, 8, 12, 13

In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37

Now we divide: 37 ÷ 4 = 9.25

So the mean is 9.25

Answer:

0.00892857....

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

To calculate the percentage part of number, multiply it with the original number and divide with 100.

Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,

[tex]r=\dfrac{1}{45.897}[/tex]

Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,

[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]

The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,

[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]

Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

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Answer:

Step-by-step explanation:

The equation has two roots as a quadratic equation.

Elena's solution ends up with loss of one of the roots when cancelling the variable.

Lin gets two roots, so she is correct.

Answer:

Lin gave Correct answer

Step-by-step explanation:

Let's solve by ourselves once

verified

Answer:

30 degrees

Step-by-step explanation:

The angles of each side of a hexagon is 120 degrees.

The sum of interior angles in a shape is (n-2) * 180.

So,

(6-2) * 180 = 4 * 180 = 720 degrees

This is the total degrees of the hexagon.

Dividing the total degrees by 6 angles gives us 120 degrees for each angle.

Angle AEF = angle FED - angle AED.

Angle FED = 120 degrees

Angle AED = 90 degrees

120 - 90 = 30 degrees

Answer:

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Explanation:

Let the function be,

[tex]y=Acos(ws+p)[/tex]

Since amplitude is 2.

Then,

[tex]A=2[/tex]

Also, since the period is 8.

Then,

[tex]w=\frac{2\pi }{8}[/tex]

[tex]w=\frac{\pi }{4}[/tex]

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]

Answer:

f(0) = 1

Step-by-step explanation:

when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1

Answer:

(17xa)+2

Step-by-step explanation:

25.46 ft

To find the vertical stripe of the kite,we'll use this formula

where,

Inserting the value of 'a' ( 18ft) in the formula,

we get,

hence , the length of the vertical stripe of the given square kite = 25.46 ft

Answer:

C. 648 in.

Step-by-step explanation:

If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.

The first step is to determine the total value of the loan.

Total value of the loan = (1 + interest) x amount of the loan

Amount of the loan = 9000 - 500 = $8,500

Total value of the loan = (1.095) x $8500 = $9307.50

Number of months it would take to pay off the loan = total value of the loan / monthly payments

$9307.50 / 200 = 46.54 months

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Answer:

10 is the answer for this

please mark me as brilliant

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]