1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5

Answer:

x = 6

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle. Sum the 3 sides and equate to 51, that is

15 + 5x - 6 + 2x = 51

7x + 9 = 51 ( subtract 9 from both sides )

7x = 42 ( divide both sides by 7 )

x = 6

Answer:

(3,0)

Step-by-step explanation:

We know the line will Pss through

(-2,5) and (2,1) so

let find the slope

[tex] \frac{1 - 5}{2 - ( - 2)} = \frac{ - 4}{4} = - 1[/tex]

So the slope is -1.

We know it passes through 2,1 so use point slope to find b.

[tex]y - 1 = - 1(x - 2)[/tex]

[tex]y - 1 = - x + 2[/tex]

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

Set that equal to

[tex] {x}^{2} - 2x - y = 3[/tex]

[tex] {x}^{2} - 2x - 3 = y[/tex]

[tex] {x}^{2} - 2x - 3 = - x + 3[/tex]

[tex] {x}^{2} - x - 6 = 0[/tex]

[tex](x - 3)(x + 2) = 0[/tex]

[tex]x = 3[/tex]

Point (3,0).

Answer: d: -2,2

Step-by-step explanation:

The coordinates of W' after the rotation and the translation is (-2, 2).

Option D is the correct answer.

We have,

The rule for a rotation by 270° about the origin.

(x, y) → (y, −x)

Now,

W = (-4, -3)

Applying the rule.

W = (-3, 4)

Now,

A translation of 2 units down and 1 unit to the right.​

So,

W = (-3, 4)

W = (-3 + 1, 4 - 2)

W = (-2, 2)

Thus,

The coordinates of W' after the rotation and the translation is (-2, 2).

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Answer:

4 times greater

Step-by-step explanation:

Answer:

the slope intercept form of this line is y = -4x + 9.

Step-by-step explanation:

The equation of line is given by:

y = mx + b          .....[1]

where,

m is the slope of line

b is the y-intercept.

As per the statement:

Given: The rate of change = -4

Substitute in [1] we have;

y = -4x + b

Substitute the values of  any (x, y) from the given table.

Let x = -1 and y = 13

then;

13 = -4(1-)+b

⇒13 = 4+b

Subtract 4 from both sides we have;

9 = b

or

b = 9

⇒the equation become, y = -4x+9

Therefore, the slope-intercept form of this line is,  y = -4x+9

Answer:

3/8

Step-by-step explanation:

hope this helps

pls mark as brainliest

Answer:

[tex]y=\dfrac{10}{3}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac25\right)^{-3} \cdot\left(\dfrac52\right)^{-15} =\left(\dfrac25\right)^{2+3y}[/tex]

[tex]\textsf{Using exponent rule:}\left(\dfrac{a}{b}\right)^{-c} =\left(\dfrac{b}{a}\right)^{c}[/tex]

[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25\right)^{2+3y}[/tex]

[tex]\textsf{Using exponent rule: } a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]

[tex]\implies \left(\dfrac25\right)^{12} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]

[tex]\implies \left(\dfrac25\right)^{12} \div\left(\dfrac25}\right)^2 =\left(\dfrac25\right)^{3y}[/tex]

[tex]\textsf{Using exponent rule: } \dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\implies \left(\dfrac25\right)^{10} =\left(\dfrac25\right)^{3y}[/tex]

[tex]\textsf{Using exponent rule: } a^b=a^c \implies b=c[/tex]

[tex]\implies 10=3y[/tex]

[tex]\implies y=\dfrac{10}{3}[/tex]

Answer:

i dont understand either

Step-by-step explanation:

A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.

Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.

Given the mean and value at 70th percentile, we can find the standard deviation.

Using the z score - percentile table, we find that the z score corresponding to the given percentile.

z score corresponding to 70th percentile = 0.524

[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]

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Answer:

Hello your question is incomplete below is the complete question

Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this? AngleGLH Is-congruent-to AngleILM mAngleKLM = 5mAngleILM ,   mAngleGLI = 2mAngleGLH, mAngleGLI = mAngleGLH + mAngleHLI

answer :  mAngleGLI = 2mAngleGLH

Step-by-step explanation:

The information that could have used to determine this information is

mAngleGLI = 2mAngleGLH

from the figure,  we can see that

mAngleGLI = mangleGLH + mangleHLI  

Hence  we can conclude mangleGLH = mangleHLI

therefore the  ray LH bisects angleGLI into two equal angles GLH & HLI.

Answer: mGLI = 2mGLH

Step-by-step explanation: took the test on edge

Table 2 depicts the proportional relationship between x and y as 2/5 = 4/10 = 6/15.

Therefore,

1x / y

Simplifying the equation, then we get,

1/4  =  2 /8 =  3 / 12  = 6 / 24

=  2 / 8

y l x

Put the value of x and y in above equation,

4/1  = 8 /2 = 12/3

8/2

2, x/ y

5/2 = 10 /4

= 15 /6

30 /12

5 /  2

y l x

2/5 = 4 /10 = 6 /15

Hence, Table 2 depicts the proportional relationship between x and y as 2/5 = 4/10 = 6/15.

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Answer:

D. -7 and -8

Step-by-step explanation:

The number is 6.4.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Five Times the difference of a number and 3 is 17.

let the number be x

So,

5(x-3) = 17

5x - 15 = 17

5x = 32

x= 32/5

x= 6.4

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Answer:

45

Step-by-step explanation:

5/9 of 81 is ((81/9)*5), which is (9*5), which is 45. So 45 picked up the garden tools.

Answer:

26.6%

Step-by-step explanation:

total = 75 games

number of games won = 55

number of games lost = 75 - 55 = 20

75 — 100%

20 — x%

x = 20/75 * 100 = 26.6%

Answer:73.33%

Step-by-step explanation: If you do 55/75 you will get 0.73 repeating and you would move the decimal place 2 places to the right.

Answer:

Z=1

Step-by-step explanation:

please mark me as brainlest

Answer:

z = 1

Step-by-step explanation:

Given :-

12 = 15(z - 1/5)

To Find :

z

Solving :-

12 = 15(z - 1/5)

12 = 15z - 3

15z = 15

Solution :-

z = 1

Answer:

true

Step-by-step explanation:

Answer:

I think combining like terms

Step-by-step explanation:

Answer:

I need help with mathematics please

Answer:

8.7388

Step-by-step explanation:

square root of 5832=76.37

square root of 76.37= 8.73

8.7388 x 8.7388 x 8.7388 x 8.7388

Answer:

8n.

Step-by-step explanation:

You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.

Answer:

g=7

Step-by-step explanation:

10g–7g–3=18

subtract 7g from 10 g

3g-3=18

add 3 to both sides

3g=21

divide each side by 3

g=7

Answer:

g=7

Step-by-step explanation:

We move all terms to the left:

10g-7g-3-(18)=0

We add all the numbers together and all the variables

3g-21=0

We move all the terms containing "g" to the left and all the other terms to the right

3g=21

g=27/3

which is the same as

g=3

Answer: a=36pi

Step-by-step explanation:

We know that the formula for the area of a circle is a=(pi)(r)^2

Knowing that the diameter is 12 we can find the radius is 6 as the radius is half of the diameter. Now we can plug that into the equation. a=pi*6^2

Simplify

a=36pi

Your missing the graph

Answer/Step-by-step explanation:

To the nearest hour, when will the two jobs earn the same amount?

Answer = 7

Explain why your estimate is reasonable.

Explanation:

Waiter: y = 25 + 3.75x        { x which is the time mark work}

Dishwasher: y = 7.25x    

⇒  25 + 3.75x = 7.25x   [Same amount]

25 = 3.5x

x = 7.14285714286

Round:

x = 7

~Lenvy~

Answer:

Primary data when the researcher collect the information like census by government . And secondary data means when like an entrepreneur take the census data from the government and collect more information .

Answer:

are you sure its b? b doesnt seem to be present in 2x-y=6

Answer:

-10

Step-by-step explanation:

Hope that helps!!

The circumference of the outer edge of the path around the pool is 113.04 ft.

The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.

Given

A circular swimming pool has a radius of 15 ft.

There is a path all the way around that pool that is three feet wide.

A circle has a radius of 15 feet.

A larger circle goes around the smaller circle that is 3 feet wide.

The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.

The radius of the outer edge of the path around the pool = 15 + 3

The radius of the outer edge of the path around the pool = 18ft

The circumference of the outer edge of the path around the pool is;

[tex]\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft[/tex]

Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.

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By working with the exponential function, we will see that:

We know that the population of the cell doubles every four hours, then we can write:

y = 50*(2)^x

Where x is time in lapses of 4 hours, and 50 is the initial population of the cell.

In one day, there are 6 groups of 4 hours, then after one day we have:

In two days, there are 12 groups of 4 hours, then after two days we have:

In 3 days, there are 18 groups of 4 hours, then after 3 days there are:

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