Write an expression, in terms of h, for the perimeter of this triangle.
Simplify your answer fully.
7
14-6h
3h+3

The slope of the side connecting (0,−2) and (-2, 3) is: -5/2.

The slope of the side connecting (6, 0) and (4, 5) is: -5/2.

The slope (m) of a side connecting two points with given coordinates can be calculated using the slope formula shown below:

Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

Slope of the side connecting (0,−2) and (-2, 3):

Slope (m) = change in y / change in x = (3 - (-2)) / (-2 - 0)

m = 5/-2

Slope (m) = -5/2.

Slope of the side connecting (6, 0) and (4, 5):

Slope (m) = change in y / change in x = (5 - 0) / (4 - 6)

m = 5/-2

Slope (m) = -5/2.

Therefore, the slope of both sides are the same, which is: -5/2.

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Answer:1.4<x

math math math

Answer:daddy

Step-by-step explanation:gay

Answer:

x>=3 make the inequality false

Step-by-step explanation:

4x-2x<12-6

2x<6

x<3

Answer:

Any number higher than 3

Ex. 4, 5, 6, 7, 8, 9, 10, etc

Step-by-step explanation:

4x + 6 < 2x + 12

-2x        -2x

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

2x + 6 < 12

      -6    -6

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

2x < 6

÷2   ÷2

-----------

x < 3

Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4

4(4) + 6 < 2(4) + 12

16 + 6 < 8 + 12

22 < 20 (false)

I hope this helps!

Answer:1/2

Step-by-step explanation:

Answer:

b)  64 to 76 inches.

Step-by-step explanation:

In a normal distribution, 95% of the population is within 2 standard deviations of the mean.

Given values:

Given that the mean height is 70 inches and the standard deviation is 3 inches:

[tex]\implies \mu -2 \sigma = 70-2(3)=64[/tex]

[tex]\implies \mu+2 \sigma = 70+2(3)=76[/tex]

Therefore, an appropriate height range for 95% of all people in the sample would be:

The solution of the expressions are

(a) (30+10 ÷ 2)-5-10 = 20

(d) 30+ (10 ÷ 2·5)-10 = 24

What is meaning of expressions?

An expression is a combination of operations, variables, and numbers.

What is BODMAS rule?

According to the BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by 'order' (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right.

Given expression is

(30+10 ÷ 2)-5-10

Applying BODMAS rule:

= (30 + 5) - 5 - 10

= 35 - 5 - 10

= 30 - 10

=40

Second expression is:

30+ (10 ÷ 2·5)-10

= 30 + (10 ÷ 10) - 10

= 30 + 1 - 10

= 31 -10

= 21

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Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

Mike has some t-shirts

The fraction of pink t-shirts = 1/4

The remaining t-shirts = 1 - (1/4)

= 3/4

1/2  of the remaining t-shirts are white

Then the fraction of white t-shirt = 3/4 × 1/2

= 3/8

The fraction of purple t-shirt = 1 - (1/4 + 3/8)

= 3/8

Hence, Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8

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Answer:

The big bang is how astronomers explain the way the universe began. It is the idea that the universe began as just a single point, then expanded and stretched to grow as large as it is right now—and it is still stretching!

Step-by-step explanation:

In 1927, an astronomer named Georges Lemaître had a big idea. He said that a very long time ago, the universe started as just a single point. He said the universe stretched and expanded to get as big as it is now, and that it could keep on stretching The universe is a very big place, and it’s been around for a very long time. Thinking about how it all started is hard to imagine. Some More Information

Just two years later, an astronomer named Edwin Hubble noticed that other galaxies were moving away from us. And that’s not all. The farthest galaxies were moving faster than the ones close to us. This meant that the universe was still expanding, just like Lemaître thought. If things were moving apart, it meant that long ago, everything had been close together.

Everything we can see in our universe today—stars, planets, comets, asteroids—they weren't there at the beginning. Where did they come from?

A Tiny, Hot Beginning

When the universe began, it was just hot, tiny particles mixed with light and energy. It was nothing like what we see now. As everything expanded and took up more space, it cooled down.

The tiny particles grouped together. They formed atoms. Then those atoms grouped together. Over lots of time, atoms came together to form stars and galaxies.

The first stars created bigger atoms and groups of atoms. That led to more stars being born. At the same time, galaxies were crashing and grouping together. As new stars were being born and dying, then things like asteroids, comets, planets, and black holes formed!

The diameter of a semicircle is 4 yards. The perimeter for a semicircle having a diameter of 4 yards is 10.28 yards.

The perimeter of a shape is the distance of the path or boundary that surrounds the shape.

The formula for the perimeter of a semicircle is πr + 2r

π(pie)=3.14

r(radius)=2 yards (∴ radius=1/2diameter)

∴ the perimeter of a semicircle = πr + 2r

                                                    = 3.14×2+2×2

                                                    =10.28 yards.

∴ The perimeter of a semicircle with a diameter of 4 yards is 10.28 yards.

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Answer:

False

Step-by-step explanation:

The denominators have to be the same for you to be able to add or subtract a fraction.

The three ordered pairs that could be added to the set so that f remains a function is D) (-3, -2), (1, 6), and (2, 3)

We are told that the displayed set of ordered pairs represents a function f.

{(-5,3),(4,9),(3,-2),(0,6)}

We must determine which three ordered pairs can be added to the set while the function remains unchanged. It is a mapping between elements of two sets A and B, with each element of set A uniquely mapped to each element of set B.

Alternatively, we can say that each element has only one image. For D,(-3,-2),(1,6) and (2,3) (2,3)

The image of f -3 is -2.

The image of one is six.

3 is the image of 2

It is correct because each element has a unique image while maintaining the same function.

As a result, option D is correct.

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Complete question

The set of ordered pairs shown represents a function f. {(-5, 3), (4, 9), (3, -2), (0, 6)} Which three ordered pairs could be added to the set so that f remains a function? a. (-3, -2), (4, 0), and (0, -1) B) (1, 6), (2, 3), and (-5, 9) C) (4, 0), (0, -1), and (-5, 9) D) (-3, -2), (1, 6), and (2, 3)

Answer:

2 1/5

Step-by-step explanation:

8 4/5=44/5

(44/5)/(4)=(44/5)*(1/4)

(44/5)*(1/4)=44/20

44/20=2 1/5

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2 - 9\qquad \textit{we also know that} \begin{cases} x=2\\ y=-7 \end{cases} \\\\\\ -7=a(2-1)^2-9\implies 2=a(1)^2\implies 2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=2(x-1)^2 -9 \end{array}} ~\hfill[/tex]

Answer:

394,200

Step-by-step explanation:

You have to multiply the house value by 1.08 or 108%

365,000*1.08=394,200

The rate of libraries per 100000 is 88.05   .

In the question ,

it is given that ,

the number of public libraries in New York City = 207 libraries

the population of the New York City = 8.805 million

we have to find the rate of libraries per 100000  .

for this we first have to express the population in numbers .

the population 8.805 million expressed in numbers is 8805000 ,

the rate of libraries per 100000 is

= 8805000/100000

On further simplification ,

we get ,

= 88.05

Therefore , The rate of libraries per 100000 is 88.05   .

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Answer:

3.45

Step-by-step explanation:

this is how it is supposed to be

If Tater and Pepper incurred $14.4 million in depreciation expense and paid $30.5 million in taxes on EBIT in 2021. The EBIT is $93.3 million.

First step is to find the operating cash flow

Operating cash flow =$47.1 million + $30.1 million

Operating cash flow = $77.1 million

Now let find the EBIT

EBIT = Operating cash flow + Depreciation expenses - taxes

EBIT = $77.1 million + ($30.5 million - $14.4 million)

EBIT = $93.3 million

Therefore the EBIT is $93.3 million.

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Answer: y = -9/8 + 7

Step-by-step explanation:

point a = (0,7), point b = (8,-2)

y = mx + b

b = 7

y = mx + 7

-2 = 8m + 7

-9 = 8m

m = -9/8

y = -9/8 + 7

Answer:

y= -9/8x+7

Step-by-step explanation:

find the slope

y2-y1/x2-x1

-2-7/8-0

-9/8

y=mx+b

m=slope

b=y intercept

y=  - 9/8x + b

y= -9/8x+7

Answer:

y = -338

Step-by-step explanation:

[tex]-26 = \dfrac{y}{13}[/tex]

Multiply by 13 on both sides.

[tex]-26 \cdot 13 = y[/tex]

[tex]-338 = y[/tex]

y = -338

Answer:

-338

Step-by-step explanation:

-26=y/13

cross multiplying

y=-26×13

y=-338

Answer:

The new value is $292,110

Step-by-step explanation:

321,000 - (1 - 0.09) = 292,110

The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

What is Arithmetic Progression and Geometric Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

First term = -2

Second term = 4

A)

For Arithmetic Progression

First term a = -2

Second term = 4

Common difference d = Second term - First term

                                     = 4 - ( -2 )

                                     = 6

And Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

n = 10 terms

Sₙ = ( 10/2 ) [ (2x- 2) + ( 9 ) x 6]

Sₙ = 5 [ -4 + 54 ]

Sₙ = 5 x 50

Sₙ = 250

Therefore , Sum of first 10 terms of an AP is 250

B)

For Geometric Progression

First term a = -2

Second term = 4

Common ratio = Second term / First term

                        = 4 / -2

                        = -2

And Sum of first n terms of an GP : Sₙ =  a( 1 - rⁿ ) / ( 1 - r )

n = 10

Sₙ = 2( 1 - ( -2 )¹⁰ ) / 1 - ( -2 )

Sₙ = 2 ( 1 - 1024 ) / 3

Sₙ = ( 2 x (-1023) ) / 3

Sₙ = 2 x ( - 341 )

Sₙ = - 682

Therefore , Sum of first 10 terms of an GP is -682

The difference between the sum of first 10 terms of AP and GP is GP - AP

= -682 - 250

= -932

Hence , The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

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Answer:

7.25 %

Step-by-step explanation:

58 out of 800g  is    58 / 800 = .0725    which is  7.25 %

Answer:

A 35%

Step-by-step explanation:

take the higher number (27) and subtract the smaller number (20) from it. there's your difference. afterwards, take the difference (7) and divide it by the smaller number (20). this gives you .35. convert it into percentage move the decimal point to the right two spots and slap a percentage sign onto it (shift+3). giving you 35%, or A.

Answer:

a) 35%

Step-by-step explanation:

Given information,

→ 20 guests attended the 1st party, and 27 guests attended the 2nd party.

Now we have to,

→ find the % increase of number of guests from first party to second party.

Let's solve the problem,

→ ((27 - 20)/20) × 100

→ (7/20) × 100

→ 0.35 × 100

→ 35%

Hence, the answer is 35%.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$50000\\ P=\textit{original amount deposited}\\ r=rate\to 5.9\%\to \frac{5.9}{100}\dotfill &0.059\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}[/tex]

[tex]50000=P\left(1+\frac{0.059}{4}\right)^{4\cdot 7} \implies 50000=P(1.01475)^{28} \\\\\\ \cfrac{50000}{(1.01475)^{28}}=P\implies 33183.05\approx P[/tex]

The point estimate of the population mean  is 22 and margin of error for the confidence interval is 3.

1. Point estimate

Point estimate = Upper bound+ Lower bound/2

Point estimate = (25+19) /2

Point estimate = 44/2

Point estimate = 22

2. Margin error

Margin error = Upper bound  - Lower bound/2

Margin error = ( 25-19) /2

Margin error = 6 /2

Margin error = 3

Therefore the point estimate is 22.

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The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

Given that,

The sides as 8x-13 and 5x+17

We have to find the x value.

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

We say now,

8x-13 = 5x+17

8x-5x=17+13

3x=30

x=30/3

x=10

Therefore, The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

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The Sample space for number greater than 3= {4, 5, 6}

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A number cube with faces labeled from 1 to 6 will be rolled once.

so, Sample Space = { 1, 2, 3, 4, 5, 6}

sample space for number greater than 3= {4, 5, 6}

Thus, the probability is 3/6 or 1/2.

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The percent of loads of clothes are washed in an extra large washer is 75%.

It was stated that out of the 600 loads of clothes washed at a cleaners in one week.450 of those loads are washed in an extra large- washer

Therefore, the percentage that are washed in extra large washer will be:

= Number washed in extra large washer / Total number of clothes × 100

= 450/600 × 100

= 3/4 × 100

= 75%

The percentage is 75%.

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Answer:

the length of WZ is 10

Step-by-step explanation: