1
y
X
E
21
Which equation matches the graph?
OA. y = kx + 4
OB. y = 3.5 - 4
Oc. y = ks - 4

Answer:

The area of a triangle is:

Step-by-step explanation:

Given the points of a triangle

A(1, 1)

B(2, 3)

C(4, 5)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Distance between AB:

[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]

     [tex]=\sqrt{1+4}[/tex]

     [tex]=\sqrt{5}[/tex]

so

Distance between BC:

[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]

     [tex]=\sqrt{2^2+2^2}[/tex]

     [tex]=\sqrt{2^3}[/tex]

     [tex]=2\sqrt{2}[/tex]

so

Distance between AC:

[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]

    [tex]=\sqrt{3^2+4^2}[/tex]

   [tex]=\sqrt{5^2}[/tex]

    [tex]=5[/tex]

so

Semiperimeter = sum of sides ÷ 2            

                       [tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]

Area of the triangle:

[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]

[tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]

[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]

[tex]A=1[/tex]

Therefore, the area of a triangle is:

Answer:

D) 14

Step-by-step explanation:

Absolute value |x| is defined as the distance x from 0.

Basically, whatever is in the absolute value sign cannot be negative

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

Answer:

1 1/5 miles per hour

Step-by-step explanation:

3/5 = 0.60

1/2= 0.5 hr

0.60 * 2 = 1.2

1.2 mph = 1 1/5

Answer:

523.3ft³

Step-by-step explanation:

Given

Diameter, D = 10ft

Required

Determine the volume of helium it can hold.

To solve this, we simply calculate the volume of a sphere, which is:

V = 4/3πr³

Where

r = ½D

r = ½ * 10ft

r = 5ft

Substitute 5 for r in the stated formula and take π as 3.14

V = 4/3 * 3.14 * 5³

V = 4/3 * 3.14 * 125

V = ⅓(4 * 3.14 * 125)

V = ⅓ * 1570

V = 523.3 ft³

Hence, the sphere can contain 523.3ft³ of helium

Answer:

The answer is

[tex] \huge - \frac{7}{4} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{17 - 10}{ - 2 - 2} = \frac{7}{ - 4} = - \frac{7}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{7}{4} \\ [/tex]

Hope this helps you

Answer:

Number 4. 83

Answer:

83

Step-by-step explanation:

(2x+ 1 ) +(x+15)+x=180

4x+16=180

4x=164

x=41

Largest angle -2x+1

2(41)+1=83

Answer:

K=4

Step-by-step explanation:

4(K+2)=32-2k

4k+8=32-2k

+2k          +2k

6k+8=32

     -8  -8

6k=24

divide 6 from both sides

k=6

Answer:

k=4

Step-by-step explanation:

4(k+2)=32-2k

You would use distributive property with the 4 and the numbers in the parenthesis.

4k+8=32-2k

Next, you add 2k to both sides

6k+8=32

Then, you subtract 8 from each side

6k=24

Lastly, you divide by 6 on both sides

k=4

Answer: undefined

Step-by-step explanation: No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined :|

Answer:

[tex]+54[/tex]

Step-by-step explanation:

To solve this, you will need inverse operations to isolate the x. Since x is multiplied by 2/3, you want to divide it by 2/3. Since we always have to do the same thing to both sides, we will also divide 36 by 2/3.

[tex]\frac{2}{3}x = 36\\\\$\scriptsize{\div2/3\;\; \div2/3}\\[/tex]

[tex]\frac{2}{3} x \; \div \; \frac{2}{3} = x[/tex]

([tex]\frac{2}{3}[/tex] cancels out)

[tex]\frac{36}{2/3} = 54[/tex]

[tex]x = 54[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\;Enthusiast[/tex]

Answer:

ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv

Step-by-step explanation:

sorry I really need points-

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!

Repost your question. Unclear as typed.

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Answer:

poster board

Step-by-step explanation:

2Conditions:

-greatest number of 1 item

-still receive change

If you go for the cheapest items like pencil or eraser you will pay with $10 for

$0.10* 100items= $10 yet no change

If you go for second most cheapest pen $0.25 you can by

if you buy 4 pencils and each with $0.25 you will pay  $1

for $ 10 you can get 4*10 = 40 pencils yet no change

if you go for the third cheapest item is the poster board

$ 1.50*2= $3 so $1.50*6 =$9 and the change will be $10-9$ = $1

Answer:

The correct answer is B

Answer:

By the use of algebra.

Step-by-step explanation:

You wish to break the quantity '12' into parts (number of parts not specified) and multiply each part by 6.

If you didn't want to break 12 into parts, the straight method would be to simply multiply 12 by 6.    12 × 6 = 72

Breaking 12 into 12 parts, you have

X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂

In this case, X₁ represents the first unit of the number 12.  X₂ represents the second unit of the number 12.   X₁₂ represents the last unit of the number 12.

Hence, X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ + X₈ + X₉ + X₁₀ + X₁₁ + X₁₂ = 12

Each X value is the number 1; just that it's in 12 places and each case has a separate identity.

Each X value can then be multiplied by 6 and the sum of all would be 72.

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

scalene triangle

Picture:

(in attachment)

Answer:

2/28

Step-by-step explanation:

Answer:

We have the ration:

3:5:7

This means that, if they receive $15, then:

Person A will get $3

Person B will get $5

Person C will get $10

Let's then define the amount of money shared as:

Amount = K*$15

where we want to find the number K.

In this scenario, each they will get:

Person A : $3*K

Person B: $5*K

Person C: $7*K

Now, we know that one of them gets "10 more than the other"

(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)

then we can have:

$5*K = $10 + $3*K

solving this for K, we have:

$5*K - $3*K = $10

$2*K = $10

K = $10/$2 = 5

Then the amount shared, in this situation, is:

Amount = K*$15 = 5*$15 = $75.

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality

Step-by-step explanation:

Answer:

66m

Step-by-step explanation:

perimeter is the distance all round a figure

perimeter(p)= 2( length(l) + width(w))  or  perimeter= 2 length + 2 width

p= 2(l + w)                                                 or      p =  2l  + 2w

p= 2(16.3 +16.7)                                        or      p=  2(16.3) + 2(16.7)

p=2(33)                                                      or     p=   32.6  +  33.4

p=66m                                                        or     p=  66m

Answer:

0

Step-by-step explanation:

A slope of a straight, horizontal line is 0 as it is not going up or down.

Answer:

B) 0

Step-by-step explanation:

When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.

y= ___ is slope of 0

x= ___ is slope of undefined

Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

Answer:

How about you be nice and give it to us hardworkers for free?

Step-by-step explanation:

Answer:

m = 34 ; n = 17√3

Step-by-step explanation:

m = 17 × 2 = 34

n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3

Answer:

try using percent decrease calculator

Step-by-step explanation:

maybe that'll help

Answer:

The answer is 20%

Step-by-step explanation:

5=100%

meaning if you decrease it by one each time it will look like this:

5=100%

4=80%

3=60%

2=40%

1=20%

so if it was decreased to four your answer is 20%

and you still have 80% remaining.

Answer:

The required probability = 0.9345

Step-by-step explanation:

Given that:

p = 0.17

n = 6

The required probability that two or less light bulbs are defective = (P<2)

(P<2) = P(X=0) +P(X=1) +P(X=2)

[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]

[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]

[tex]\mathbf{(P<2) = 0.9345}[/tex]