whats the answer to that ?

Answer:

x = 4

Step-by-step explanation:

The equation given is a radical equation, we will solve using the steps below:

√x+5 + √x = 15÷√x+5

√x+5 + √x  = [tex]\frac{15}{\sqrt{x+5} }[/tex]

Multiply both-side of the equation by [tex]\sqrt{x+5}[/tex]

[tex]\sqrt{x+5}[/tex](√x+5 + √x)  = [tex]\frac{15}{\sqrt{x+5} }[/tex]  × [tex]\sqrt{x+5}[/tex]    ----------------------------------(2)

Note

[tex]\sqrt{x+5}[/tex]  ×   [tex]\sqrt{x+5}[/tex]  = x +5

Also at the right-hand side of the equation  [tex]\sqrt{x+5}[/tex] cancel-out  [tex]\sqrt{x+5}[/tex] leaving us with just 15

so equation(2) becomes

x+5 +√x  [tex]\sqrt{x+5}[/tex] = 15

subtract 5 from both-side of the equation

x+5-5 +√x  [tex]\sqrt{x+5}[/tex] = 15-5

x +√x  [tex]\sqrt{x+5}[/tex] = 10

subtract x from both-side of the equation

x-x +√x  [tex]\sqrt{x+5}[/tex] = 10-x

√x  [tex]\sqrt{x+5}[/tex] = 10-x

square both-side of the equation

(√x  [tex]\sqrt{x+5}[/tex]) ² = ( 10-x)²

x (x+ 5) =  ( 10-x)(10-x)

open the bracket

x² + 5x = 100 - 20x + x²

subtract x² from both-side of the equation

x² -  x² + 5x = 100 - 20x + x² - x²

5x  = 100 - 20x

collect like term

5x + 20x = 100

25x = 100

divide both-side of the equation by 25

25x/25 = 100 /25

x = 4

Answer:

-5/24 miles

Step-by-step explanation:

The submarine descends at a rate of -5/6 miles every 4 minutes.

To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:

[tex]\frac{\frac{-5}{6} }{4} * 1[/tex]

=> D = -5 / (6 * 4) = -5/24 miles

Therefore, the submarine's depth is -5/24 miles.

Answer:

-1 1/5

Step-by-step explanation:

I took the test and this was the correct answer :D

Answer:

volume of trapezoidal prism = 15x^2 cubic units

Step-by-step explanation:

First, area of the trapezoidal bases.

Parallel sides measure x and 2x, for an average of 1.5x.

Height = x

Area of trapezoidal base = 1.5x*x = 1.5x^2

Volume of prism = area base * height

(length does not matter, height does)

= 1.5x^2 * 10 = 15x^2

The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

An oblique prism has trapezoidal bases and a vertical height of 10 units.

As we know, the area of the trapezoidal bases:

From the figure:

Height = x

Area of trapezoidal base = (1.5x)(x) = 1.5x²

The volume of prism = area base×height

= 1.5x²×10 = 15x² cubic units

Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.

Learn more about the trapezoid here:

brainly.com/question/8643562

#SPJ6

Answer:

Option (4).

Step-by-step explanation:

In the figure attached,

Two right triangles ΔXYZ and ΔTUV have been given,

Given:

1). m∠Y = m∠U = 30°                  

2). m∠Z = m∠V = 60°                  

3). m∠X = m∠T = 90°

For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).

Therefore, these triangles may be similar but not congruent.

Option (4) is the correct option.

Answer:

D.No congruency statement can be made because the side lengths are unknown.

Step-by-step explanation:

EDG

Answer:

45°

Step-by-step explanation:

Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.

Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.

Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.

Learn more about a square on:

https://brainly.com/question/24579466

Answer:

90 oranges

Step-by-step explanation:

First, find out how many cupfuls are in 3 gallons of juice.

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

16 cups = 1 gallon

48 cups = 3 gallons

For every 5 oranges, you get 3 cupfuls of juice.  This gives you the ratio of 5/3.  Multiply 48 cups, which is 3 gallons, by the ratio to find out how many oranges you will need.

48 × 5/3 = 90

You will need 90 oranges for 3 gallons of juice.

Answer:

80 oranges are used to make 3 gallons of juice

Step-by-step explanation:

1 gallon = 8 pint

3 gallons  = 3 * 8 = 24 pint

1 pint = 2 cup full of juice

24 pint = 24 * 2 = 48 cups

Now, we have to find how many 3 cups are in 48. So, 48 ÷ 3 = 16

3 cup of juice is taken form 5 oranges.

Therefore, 16 groups of 3 cups of juice will be taken from 5 *16 = 80 oranges

Answer:

A. - 4

Step-by-step explanation:

f(4) = 4(4) - 20 = 16 - 20 = - 4

Answer: 1

Step-by-step explanation:

If heads is 3 more likely to come up than tails, then there are 3 heads for every tails.  

Hope it helps <3

Answer:

Step-by-step explanation:

From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°

From the diagram, mAB = 43°. Substituting this value into the above equation;

mAB + mAD = 180°

43° + mAD = 180°

mAD = 180°-43°

mAD = 137°

Hence, the measure of angle mAD is 137°

Answer:

21-14a

Step-by-step explanation:

You have to distribute the (2/3) into the (15-21a) then add it to the 11.  So after distributing the (2/3) into the (15-21a) is (10-14a).  Then add that to the 11

Answer:

-14a + 21

Step-by-step explanation:

11 + 2/3(15 - 21a)

Expand brackets.

11 + 2/3(15) + 2/3(-21a)

11 + 30/3 + -42/3a

Evaluate.

11 + 10 + - 14a

21 + - 14a

Answer:

The correct option is;

A dilation by a scale factor of Two-fifths and then a translation of 3 units up

Step-by-step explanation:

Given that the coordinates of the vertices of square S are

(0, 0), (5, 0), (5, -5), (0, -5)

Given that the coordinates of the vertices of square S' are

(0, 1), (0, 3), (2, 3), (2, 1)

We have;

Length of side, s, for square S is s = √((y₂ - y₁)² + (x₂ - x₁)²)

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates of two consecutive vertices

When (x₁, y₁) = (0, 0) and (x₂, y₂) = (5, 0), we have;

s = √((y₂ - y₁)² + (x₂ - x₁)²) = s₁ = √((0 - 0)² + (5 - 0)²) = √(5)² = 5

For square S', where (x₁, y₁) = (0, 1) and (x₂, y₂) = (0, 3)

Length of side, s₂, for square S' is s₂ = √((3 - 1)² + (0 - 0)²) = √(2)² = 2

Therefore;

The transformation of square S to S' involves a dilation of s₂/s₁ = 2/5

The after the dilation (about the origin),  the coordinates of S becomes;

(0, 0) transformed to (remains at) (0, 0) ....center of dilation

(5, 0) transformed to (5×2/5, 0) = (2, 0)

(5, -5) transformed to (2, -2)

(0, -5) transformed to (0, -2)

Comparison of (0, 0), (2, 0), (2, -2), (0, -2) and (0, 1), (0, 3), (2, 3), (2, 1) shows that the orientation is the same;

For (0, 0), (2, 0), (2, -2), (0, -2) we have;

(0, 0), (2, 0) the same y-values, (∴parallel to the x-axis)

(2, -2), (0, -2) the same y-values, (∴parallel to the x-axis)

For (0, 1), (0, 3), (2, 3), (2, 1) we have;

(0, 3), (2, 3) the same y-values, (∴parallel to the x-axis)

(0, 1), (2, 1) the same y-values, (∴parallel to the x-axis)

Therefore, the lowermost point closest to the y-axis in (0, 0), (2, 0), (2, -2), (0, -2) which is (0, -2) is translated to the lowermost point closest to the y-axis in (0, 1), (0, 3), (2, 3), (2, 1) which is (0, 1)

That is (0, -2) is translated to (0, 1) which shows that the translation is T((0 - 0), (1 - (-2)) = T(0, 3) or 3 units up

The correct option is therefore a dilation by a scale factor of Two-fifths and then a translation of 3 units up.

Answer:

a

Step-by-step explanation:

Answer:

the expansion is 6a-4b+b

the simplification is 6a-3b

Answer:Hey there...

Step-by-step explanation: 2(3a - 2b) + b

 Apply Distributive property

                                      (2*3a - 2*2b) + b

                                      ( 6a - 4b) + b

                                       2b + b

                                    = 3b

Hope this helps :)

Answer:

The vertex of the graph moves to a point twice as far from the y-axis.

Step-by-step explanation:

How does the graph of y = a(x – h)2 + k change if the value of h is doubled?

The vertex of the graph moves to a point twice as far from the x-axis.

because the role of h is to indicate the distance of the vertex from the y-axis.

The vertex of the graph moves to a point half as far from the x-axis.

The vertex of the graph moves to a point half as far from the y-axis.

Transformation involves changing the position of a function.

When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.

The function is given as:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

When the value of h is doubled, the new function becomes:

[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]

Rewrite as:

[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]

The above equation means that:

Function y will be translated to the right by h units

Assume the vertex is:

[tex]\mathbf{Vertex = (2,5)}[/tex]

The new vertex will be:

[tex]\mathbf{Vertex = (4,5)}[/tex]

Comparing the vertices, it means that:

The new function will have its vertex twice as far from the y-axis

Hence, option (b) is correct.

Read more about transformation at:

https://brainly.com/question/13801312

Answer: 1 (-4)

Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.

Answer:

The answer is  choice B , 11 x 15

Step-by-step explanation:

To find area, you multiply one side by the adjacent side

11 and 15 are both adjacent, so you multiply to find the area of Sarah's room

Hope this helps !!!!   Brainliest would be appreciated

Answer:

11x15

Step-by-step explanation:

it is the answer above because the dimensions of the room are 11 by 15 so written in an expression it is the answer above

Step-by-step explanation:

The solution is the document i sent please check through.

Answer:

See below.

Step-by-step explanation:

Recall that the equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We know the center is (0,5) and the radius is 8. Plug in the numbers:

[tex](x-(0))^2+(y-(5))^2=(8)^2[/tex]

We can remove the parentheses on the left. Therefore, the equation will be:

[tex]x^2+(y-5)^2=64[/tex]

Answer:

( x) ^2 + ( y-5) ^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-0) ^2 + ( y-5) ^2 = 8^2

( x) ^2 + ( y-5) ^2 = 64

Answer:

d = 9

Step-by-step explanation:

Use the slope formula to calculate m and equate to m = 3

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

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

Answer:

y = 15

Step-by-step explanation:

The triangles CAB and CED are similar (Using the case AA), so we can write the following relations:

[tex]\frac{12}{28} =\frac{15}{x}=\frac{y}{35}[/tex]

Using the first two fractions, we can find the value of x:

[tex]\frac{12}{28} =\frac{15}{x}[/tex]

[tex]12x = 28*15[/tex]

[tex]12x = 504[/tex]

[tex]x = 504/12 = 42[/tex]

Using the first and last fractions, we can find the value of y:

[tex]\frac{12}{28} =\frac{y}{35}[/tex]

[tex]28y = 12*35[/tex]

[tex]28y = 420[/tex]

[tex]y = 420/28 = 15[/tex]

Answer:

it does show uniform probability.

Step-by-step explanation:

because the spaces are all equal, so there is an equal chance of every integer being picked.

Answer:B on edge 2020 :)

Step-by-step explanation:

its b

Step-by-step explanation:

edge 2022

Answer:

The diagram shows a playground which is a combination

of three different shapes. TSVU is a square, SRQV is a

trapezium and PQVU is a parallelogram. Calculate the

total area of the playground

Answer: {Route2, Route3, Route4} (Total 3  outcomes)

Step-by-step explanation:

Given: There are 4 different routes from Ben's house back to their home in Garland.

Let Sample space for all outcomes: {Route1, Route2, Route3, Route4 }

Ben  chooses Route 1.

The possible outcomes of the routes taken by the family if Ben  chooses first:

{Route2, Route3, Route4}

Hence, the possible outcomes of the routes taken by the family if Ben  chooses first: {Route2, Route3, Route4} (Total 3 choices)

Answer:

A

Step-by-step explanation:

Expand brackets.

-4y - 28 = -4y - 18 - 10

Both sides have -4y, the equation has no solutions.

-4y + 4y = - 18 - 10 + 28

0 = 0

There are no solutions.

Answer:  see graph (attached)

Step-by-step explanation:

Plot coordinates for each line. You MUST include the boundary points.

y = 3x - 5       x ≤ 1    

Choose x = -2, then y = 3(-2) - 5 = -11

Must include x = -1, then y = 3(-1) - 5 = -8

Draw a line starting at (-1, -8) and passing through (-2, -11)

y = -2x + 3      -1 < x < 4

Must include x = -1, then y = -2(-1) + 3 = 5

Must include x = 4, then y = -2(4) + 3 = -5

Draw a line segment starting at (-1, 5) and ending at (4, -5).

Note that both are strictly less than so must have open dots.

y = 2      x ≥ 4

Must include x = 4, then y = 2

Choose x = 5, then y = 2

Draw a line starting at (4, 2) and passing through (5, 2)

Answer:

A is the correct answer

Hope this helps :)

Answer:

Step-by-step explanation:

This is because you have to substitute numbers.

So,

f(x) = 4 * 2^x

f(1) = 4 * 2^1 = 8

f(2) = 4 * 2^2 = 16

f(3) = 4 * 2^3 = 32

This shows exponential growth. Hope this helped!

Hope this helps,

Kavitha

Answer:

24.25

Step-by-step explanation:

The minimum admission score is at the 70th percentile of the normal distribution which, according to a z-score table, corresponds to a z-score of 0.524.

The z-score, for any given value X, is determined by:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

If the mean score is 21 and the standard distribution is 6.2, the minimum required score for admission is:

[tex]0.524=\frac{X-21}{6.2}\\X=24.25[/tex]

The minimum score required for admission is 24.25.

Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

Answer:

7.8

Step-by-step explanation:

because if you square 5 and 6 you get 25 and 36. Add them together and you get 61. Square 61 to get 7.8102... which you can round to 7.8

The equation to find the hypotenuse of a right triangle is a^2+b^2=c^2