which of the following is radical equation
algebra II engenuity

Answer:

x=17

Step-by-step explanation:

In circle A, ∠BAE ≅ ∠DAE.

∠BAE = 3x-24

∠DAE = x+10

According to the given condition:

∠BAE ≅ ∠DAE.

3x-24 = x+10

Combine the like terms:

3x-x=10+24

2x=34

Divide both the sides by 2

2x/2 = 34/2

x=17

Therefore the value of x = 17

The correct option is 17....

Answer:

The answer is 17 units on edg

Step-by-step explanation:

Answer:

21 times

Step-by-step explanation:

To find out how many times the spinner would land on the 7, take the probability times the number of times spun

250 * .083

20.75

It would land on 7 approximately 21 times

Answer:

The spinner will land on 7 approximately 21 times

Step-by-step explanation:

According to your question. The probability of spinning a 7 on the spinner is 0.083 (8.3%). You spin the spinner 250 times and you would like to know how many times the spinner would land on 7 based on the previous probability. To do this we will need to multiply the probability of the spinner landing on 7 in one spin with the amount of total spins.

[tex]250*0.083 = 20.75[/tex]

As shown above we can see that with a probability of 8.3% on 250 spins, the spinner will land on 7 approximately 21 times.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

(x-5) (x+1)

Step-by-step explanation:

x^2 -4x-5

What 2 numbers multiply to -5 and add to -4

-5*1 = -5

-5+1 = -4

(x-5) (x+1)

Answer:

8

I made a couple of assumptions so you might want to make sure I made the right assumptions.

I assumed you meant square root of z; not source of z.

I also assumed you meant x=2 not x=z.

Step-by-step explanation:

y varies directly with means y=k times something where k is a constant.

Inversely means to divide by whatever it says it varies inversely with.

So we have:

[tex]y=k \cdot \frac{x}{\sqrt{z}}[/tex]

We are given y=4 and x=2 and z=4, which means:

[tex]4=k \cdot \frac{2}{\sqrt{4}}[/tex]

[tex]4=k \cdot \frac{2}{2}[/tex]

[tex]4=k(1)[/tex]

[tex]4=k[/tex]

So the constant is k which means the equation for any (x,y,z) is:

[tex]y=4 \cdot \frac{x}{\sqrt{z}}[/tex]

We want to know y when x=6 and y=9:

[tex]y=4 \cdot \frac{6}{\sqrt{9}}[/tex]

[tex]y=4 \cdot \frac{6}{3}[/tex]

[tex]y=4 \cdot 2[/tex]

[tex]y=8[/tex]

Answer:

its c

3 : 7

3/7

Step-by-step explanation:

Answer:

3/7

Ratio is explained in sentence: For every 3 cups of chocolate, she added 7 cups of milk.

This is another way to say/show a ratio. It is also said as: 3:7, 3/7, and 3 to 7

Answer:

[tex]4\sqrt{2}[/tex] which is none of your choices....

Did you mean (8,-3) and (4,-7)?

Step-by-step explanation:

We need to first find the distance between the x's.

Then the distance between the y's.

The distance between the x's is 8-4=4.

The distance between the y's is -3-(-7)=4.

So the distance between two points [tex](x_1,y1)\text{ and }(x_2,y_2)[/tex] is [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex].

So we already found x1-x2 and y1-y2 so now we have:

[tex]\sqrt{(4)^2+(4)^2}[/tex]

[tex]\sqrt{16+16}[/tex]

[tex]\sqrt{2(16)[/tex]

[tex]\sqrt{16}\sqrt{2}[/tex]

[tex]4\sqrt{2}[/tex]

Answer:

Please see attached image

Step-by-step explanation:

An analysis of the expression can be seen in the image below

See attached figure

Answer:

Step-by-step explanation:

Remove the brackets.

x + y + x + y + 3y + 15

Collect the like terms

2x + 5y + 15

This should be your answer.

Answer: 2x + 5y + 15

Answer:

The y-intercept is located at (0, -6/7)

Step-by-step explanation:

First, we should convert this equation from Standard Form(ax+by+c=0) into Slope-Intercept Form(y = mx+b), with b being the y-value of the y-intercept.

Work:

3x+7y+6=0

First, isolate the variables by subtracting 6 from both sides to keep the equation equal

3x+7y = -6

Next, isolate the y-variable by subtracting 3x from both sides to keep the equation equal

7y = -3x - 6

Then, divide by +7 on both sides to keep the equation equal and to simplify the left side even more, to completely isolate the variable

y = -3x/7 -6/7

The y-intercept is located at (0, -6/7)

Answer:

x = -30

cos(x - 30) = ½

Step-by-step explanation:

Look at the picture

Answer:

0(0,2)

Step-by-step explanation:

0(0,2)

0(0,-6)

0(2,0)

0(-6,0)

The line perpendicular to the line AB passes through the point  (0, 2)

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given is a graph of a line, we need to find the which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB,

From the given figure in the question it is observed that the line AB passes through the points (-2, 4) and (2, -8)

The coordinate of point C is, (6, 4)

Obtain the slope of the line AB.

-8-4 / 2+2 = -3

Consider the slope of AB as, m1

m1 = -3

Consider a line which is perpendicular to the line AB passing through the point C.

Assume the slope of the perpendicular line as m2,

The product of the slope of two mutually perpendicular lines is always equal to -1

The equation formed for the slope is as follows: 1/3

Finding the equation of the line,

y-y₁ = m(x-x₁)

3y - x = 6

Therefore, the equation of the perpendicular line is 3y - x = 6

In option 3 it is given that the line perpendicular to AB passes through the point (0, 2)

The equation of the line which is perpendicular to AB is 3y - x = 6

Substitute for in the above equation

3y - (0) = 6

3y = 6

y = 2

From the above calculation it is concluded that the line passes through the point (0, 2).

This implies that option 3 is correct.

Hence, the line perpendicular to the line AB passes through the point  (0, 2)

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Answer:

50.91

Step-by-step explanation:

Write a proportion:

1 kg / 2.2 lb = x kg / 112 lb

Cross multiply:

2.2 x = 112

Divide:

x = 50.91

50.91 kg equals 112 pounds.

Answer:

A) 46 mph

Step-by-step explanation:

Step 1: To find the speed, you need to find the distance and time to travel between Chicago and Cleveland.

Distance = 354 miles

Time = 9: 50 am to 5: 30 pm

Time = 7 hours 40 minutes

Step 2: Convert time to hours

1 hour = 60 minutes

40 minutes = 60/40 = 2/3 hours

Step 3: Find the speed

Speed = Distance/Time

Speed = 354/7 + 2/3

Speed = 1062/23

Speed = 46.17 miles per hour rounded off to 46 mph

Therefore, A is the correct answer.

!!

Answer:

  x^4 + 8x          

  -----------------

    (4-x^3)^2

Step-by-step explanation:

d /dx  (x^2/(4-x^3)​)

When we differentiate a fraction u/v

df/dx = u/v

         =  v du/dx-u dv/dx

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

                         v^2

we know u = x^2   so du/dx = 2x

               v = (4-x^3)  so dv/dx = -3x^2

d dx =   (4-x^3) (2x)- x^2 ( -3x^2)

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

                   (4-x^3)^2

Combining terms

           (8x-2x^4) --3x^4

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

                   (4-x^3)^2

           8x-2x^4 +3x^4

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

                   (4-x^3)^2

             x^4 + 8x          

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

                   (4-x^3)^2

[tex]3.5 \times 3.5 = 12.25 \: for \: are \\ 3.5 \times 4 = 14 \: for \: perimeter[/tex]

Answer:

it is C

Step-by-step explanation:

Answer:

The is A. Not c

Step-by-step explanation:

Answer:

1.61

Step-by-step explanation:

1 mile × (5280 ft / 1 mile) × (1 kilometer / 3280.84 ft) = 1.61 kilometers

To convert miles to kilometers, divide the number of feet in a mile (5,280) by the number of feet in a kilometer (3,280.84). This calculation reveals that there are approximately 1.61 kilometers in a mile, a conversion factor that facilitates precise and efficient measurement conversions.

The question asks how many kilometers are in a mile, given that there are 3,280.84 feet in a kilometer and 5,280 feet in a mile. To find the answer, you can use the information that 1 kilometer equals 3,280.84 feet. Therefore, to convert feet to kilometers, you divide the number of feet by 3,280.84.

To find how many kilometers are in a mile, you follow these steps:

To the nearest hundredth, there are 1.61 kilometers in a mile. This conversion is useful for making quick and accurate estimates between the two units of measurement commonly used in many parts of the world.

Answer:

Ten more than x x + 10

Step-by-step explanation:

Answer:

No.

10-x and x-10 are only the same when x=10.

They are not the same because subtraction is not commutative.

Step-by-step explanation:

A number less than 10 is 10-x .

The difference of a number and 10 means x-10.

10-x is not the same as x-10

We can find out when they are the same by solving:

10-x=x-10  

Add x on both sides:

10=2x-10

Add 10 on both sides:

20=2x

Divide both sides by 2:

10=x

So they are only the same when x=10.

It is mainly not an identity because subtraction isn't commutative.

Answer:

[tex]\large\boxed{a)\ y=\dfrac{5}{3}x+\dfrac{22}{3}}\\\boxed{b)\ 5x-3y=-22}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\m-slope\\b-y-intercept\\\\\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================\\\\\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope-intercept form.}\\\\3x+5y=1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\5y=-3x+1\qquad\text{divide both sides bvy 5}\\\\y=-\dfrac{3}{5}x+\dfrac{1}{5}\to m_1=-\dfrac{3}{5}[/tex]

[tex]a)\\\\y=m_2x+b\\\\m_1=-\dfrac{3}{5}\to m_2=-\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{3}\\\\\text{Put the value of slope and the coordinates of the given point (1, 9)}\\\text{to the equation of a line:}\\\\9=\dfrac{5}{3}(1)+b\\\\9=\dfrac{5}{3}+b\qquad\text{subtract}\ \dfrac{5}{3}\ \text{from both sides}\\\\\dfrac{27}{3}-\dfrac{5}{3}=b\\\\\dfrac{22}{3}=b\\\\\text{Finally:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}[/tex]

[tex]b)\\\\\text{The standard form of an equation of a line:}\\\\Ax+By=C\\\\\text{Convert the equation}\ y=\dfrac{5}{3}x+\dfrac{22}{3}\ \text{to the standard form:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}\qquad\text{multiply both sides by 3}\\\\3y=5x+22\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+3y=22\qquad\text{change the signs}\\\\5x-3y=-22[/tex]

Answer:

27/40

Step-by-step explanation:

We want to isolate the variable c. In order to do so, we have to subtract 1/8 from both sides. Then, on the left side, we have c, and on the right side we have 4/5-1/8. The fractions 4/5 and 1/8 do not have a common denominator, so we need to multiply 4/5 by 8/8 and 1/8 by 5/5 in order to reach a common denominator of 40 (5 and 8's least common multiple). Then, we get 32/40-5/40, or 27/40.

Side note: we are able to multiply by 8/8 and 5/5 because both of those fractions equal 1.

Answer:

K 48 inches

Step-by-step explanation:

First lets determine how big of table cloth we need

The table is 3 ft in diameter which is 36 inches

That means the radius is d/2 = 36/2 = 18 inches

We need to add 5 inches to the radius to hang over the edge

18+5 = 23

We need to add the hem which is 1 inch

23+1 = 24

The radius is 24 inches

The diameter would be 2r = 2*24 = 48 inches

Answer:

a

Step-by-step explanation:

Answer:

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) Adding -4 on both sides will remove the constant from the right side of the equation

Step-by-step explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Answer:

By mean, find the average. Add them all up and divide by how many numbers are there.

22+37+49+15+92= 215

215/5= 43.

Therefore, the answer is D, 43.

To find the mean, you add up all the values and then divide by the number of values. In this case, the mean is 43, which corresponds to option D.

To find the mean (average) of a set of data values, you sum all the values and then divide by the total number of values. In this case, you have the following data values: 22, 37, 49, 15, and 92.

Mean = (22 + 37 + 49 + 15 + 92) / 5

Mean = (215) / 5

Mean = 43

So, the mean of the given data values is 43.

The correct answer is D. 43.

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Answer:

The area of the shaded region is [tex]8\ units^{2}[/tex]

Step-by-step explanation:

step 1

Find the curved area ACD (formed by segment AD, segment DC and the curved segment AC)

we know that

The curved area ACD is equal to the curved area ACB

The curved area ACD is equal to the area of the square minus the area of a quarter of circle

[tex]ACD=b^{2} -\frac{1}{4}\pi b^{2}[/tex]

we have that

[tex]b=4\ units[/tex]    

substitute

[tex]ACD=4^{2} -\frac{1}{4}(3)(4)^{2}[/tex]

[tex]ACD=16 -12=4\ units^{2}[/tex]

step 2

Find the area of the shaded region

The area of the shaded region is equal to the area of the square minus two times the curved area ACD

so

[tex]4^{2} -2(4)=16-8=8\ units^{2}[/tex]

Answer:

Refer to pics

Step-by-step explanation:

Vertical angles are two angles which are vertically opposite and have the same measure. Thus, the two angles are to be congruent.

Vertical angles are often formed when two straight lines intersect at a point.

From the given question, the steps to prove that angle 2 and angle 4 are congruent are:

With reference to the sketch attached to this answer;

<AOC + <AOD + <BOC + <BOD = [tex]360^{o}[/tex] (sum of angle at a point)

Thus,

<AOC + <AOD = [tex]180^{o}[/tex] (supplementary angle property)

also,

<BOC + BOD = [tex]180^{o}[/tex] (supplementary angle property)

So that;

<AOD ≅ <BOC (vertically opposite angle property)

Therefore,

<2 and <4 are congruent (vertically opposite angle property)

It can be concluded that vertically opposite angles are equal in measure, thus congruent.

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Answer: 1/21 of the bag

Step-by-step explanation:

If only one person eats the meal they are consuming 1/3 of a bag of potatoes. However if more than one person is eating the potatoes we need to multiply 1/3 by the reciprocal of how many people are eating.

For example:

2 people 1/3*1/2=1/6

3 people 1/3*1/3=1/9

So then we apply this principle for seven people.

7 people 1/3*1/7=1/21

We can check our answer by working backwards

1/21*7=7/21=1/3

So each person got 1/21 of the bag.

Answer:

im kinda sure the answer is 120 degrees

Step-by-step explanation:

but maybe not

Answer:

=8 yd³ 22 ft³ 1712 in³

Step-by-step explanation:

To perform the indicated operation we need to convert the given measurements of volume to common units.

1 yd = 3 ft

1 yd³=27ft³

1 ft³=1728 in³

Thus 9 yd³=(27×9)ft³

=243 ft³

113 in³ into ft= 113/1728

9 yd³ 113 in³= 243  113/1728 ft³

4 ft³ 129 in³= 4 129/1728 ft³ = 4 43/576 ft³

Performing the operation given in the equation:

243  113/1728 ft³ - 4 43/576 ft³ = 238  1712/1728 ft³

238 ft³= 8 yd³ 22 ft³ + (1712/1728) × 1728

=8 yd³ 22 ft³ 1712 in³

The x is a placeholder for some currently unknown number. Let's say that number was 10. So we replace x with 10 to get 10-3 = 12. That statement is false because 10-3 is actually 7. What you can do is keep guessing until you get the right answer.

A much better approach is to undo what is happening to x. We have x and we subtract off 3 to get 12. Following this in reverse, we need to add 3 to both sides so that x is isolated.

x-3 = 12

x-3+3 = 12+3

x = 15

Let's replace x with 15 and see if the equation is true

x - 3 = 12

15 - 3 = 12

12 = 12

Sure enough we get the right answer.

The idea of adding 3 to both sides is possible through the additive property of equality (if a = b, then a+c = b+c)

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

In summary, I added 3 to both sides using the additive property of equality. Doing this isolated x to get x = 15.