Find the length of the third side. If necessary, write it in simplest radical form.

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

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Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

Answer:

n = [tex]\sqrt{32}[/tex]

Step-by-step explanation:

The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion

[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )

n² = 32 ( take the square root of both sides )

n = [tex]\sqrt{32}[/tex]

========================================================

Explanation:

If we plug the coordinates of point A into the inequality, then we get

y ≥ |x| + 3

6 ≥ |-3| + 3

6 ≥ 3 + 3

6 ≥ 6

Which is true. Since we're looking for a non-solution, we rule out choice A.

You should find choice B is a similar story to choice A, so we can rule this out as well.

-----------

Choice C is the answer because

y ≥ |x| + 3

0 ≥ |-3| + 3

0 ≥ 3 + 3

0 ≥ 6

which is false.

Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.

The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.

Answer:

hope this helppppp youuu

Answer:

7+3 = 10

Step-by-step explanation:

if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.

the difference of 12 and 9 is 12-9 = 3.

and then adding this 3 to 7 is 7+3 =10

Answer:

10

Step-by-step explanation:

The difference of 12 and 9 is 3.

Now,

If we add 7 to 3, the answer is 10.

Answer:

Man this is confusing

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

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

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

Answer:

87 in^2

Step-by-step explanation:

24 + 18 + 15 + 30

the 30  is 2(1/2 * 5 * 6)

Answer:

False

Explanation:

A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.

Answer:

Step-by-step explanation:

Side - side - side. In fact the two triangles have the side CD in common

Answer:

-1

Step-by-step explanation:

=-251x3+281 +251x3-1+281

=-1

The distance from his hotel to his home is 89 miles.

Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.

To find the distance between Ronald's hotel to his home, add the distance.

∴ [tex]33 + 56 = 89[/tex]

Therefore, the distance from his hotel to his home is 89 miles.

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Answer:

24

Step-by-step explanation:

(1+25) - (16)(1/8)

26 - 2

24

Cheers

Answer:

24

Step-by-step explanation:

(1+5^2) -16 ( 1/2)^3

PEMDAS

Parentheses first

Exponents in the parentheses

(1+25) -16 ( 1/2)^3

Then add in the parentheses

(26) -16 ( 1/2)^3

Then exponents

(26) -16 ( 1/8)

Then multiply

26 - 2

Then subtract

24

Answer:

The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.

Hope this helps (●'◡'●)

The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.

So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.

We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.

Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.

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

Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.

Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.

Hey there!

f(x) = 2x^2 + 1

y = 2x^2 + 1

y = 2(3)^2 + 1

3^2

= 3 * 3

= 9

y = 2(9) + 1

2(9) = 18

y = 18 + 1

y = 19

Answer: y = 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is:

f(3) = 19

Work/explanation:

To evaluate the function, I plug in 3 for "x" :

[tex]\rm{f(x)=2x^2+1}[/tex]

[tex]\rm{f(3)=2(3)^2+1}[/tex]

Then, I square 3:

[tex]\rm{f(3)=2\times9+1}[/tex]

Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.

[tex]\rm{f(3)=18+1}[/tex]

[tex]\rm{f(3)=19}[/tex]

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

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

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Answer:

Yup

Step-by-step explanation:

I'll do problem 1 to get you started.

set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}

there are 7 items in set A, so we can say n(A) = 7

set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}

Here we have n(B) = 5

set C = multiples of 3 and 5, between 5 and 25 = {15}

n(C) = 1 which we can rewrite as n(A and B) = 1.

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

To summarize so far,

From those three facts, then we can say,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 7 + 5 - 1

n(A or B) = 11

There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.

Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}

This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}

So we have 11 values we want out of 21 overall, which leads to the probability 11/21

Final Answer:   11/21

Answer:

Solution given:

total outcomes between 5 to25 inclusive

n[T]=25-5+1=21

multiple of 5n[5]=5,10,15,20,25=5

multiple of 3n[3]=6,9,12,15,18,21,24=7

now

probability of getting multiple of 5p[5]=5/21

and

probability of getting multiple of 3 p[3]=7/21=1/3

again

the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7

2:

.Good Limes n[GL] =10

Good Apples n[GA]= 8

Bad Limes n[BL] = 6

Bad Apples n[BA]= 6

total fruits n[T]=10+8+6+6=30

no of good apple n[G]=10+8=18

no of bad apple n[B]=6+6=12

again

I. Both are good limes

=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]

=10/30*9/29=3/29

II.Both are good fruits

=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]

=6/30*5/29=1/29

III. One is a good apple and the other a bad lime

=n[G]/n[T] *n[B]/(n[T]-1)

=18/30*12/29=36/145

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

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

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

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Answer:

Option (A)

Step-by-step explanation:

From the figure attached,

By applying triangle sum theorem in ΔBCP,

m∠CBP + m∠CPB + m∠BCP = 180°

15° + 20° + m∠BCP = 180°

m∠BCP = 145°

m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]

m∠ACB + 145° = 180°

m∠ACB = 35°

Since, ∠ACB is the inscribed angle and AB is the intercepted arc.

Therefore, m(arc AB) = 2m(∠ACB)

m(arc AB) = 2 × 35°

                 = 70°

Therefore, Option (A) is the correct option.