Planes S and R both intersect plane T .

Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.

Which statements are true based on the diagram? Select three options.

Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y

Answer:

[tex]x=\pm 4\sqrt2[/tex]

Step-by-step explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]

Answer:

C = 1530

Step-by-step explanation:

85% of 540 = 30% of C

0.85 * 540 = 0.3 * C

459/0.3 = 0.3C/0.3

C = 1530

Answer:

c = 1530

Step-by-step explanation:

First, convert the percentages to a decimal.

[tex]85\div100=0.85\\30\div100=0.30[/tex]

In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.

With that, you can write this equation:

[tex]0.85\times540=0.3\times c[/tex]

Now, just solve for c:

[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]

To confirm that:

[tex]0.85\times540=0.30*1530\\459=459[/tex]

Answer:

the answer to the question is online if you

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Answer:

for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table

but for b) I don't know I tried something but it didn't work.

Answer:

A.

y = 3(x + 3)^2 + 3

Step-by-step explanation:

The vertex form of the equation is y=a(x-h)2 + k  

You know that the vertex (h,k)  is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.  

First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values

150 = a(4 + 3)2 + 3  

Now simplify

150 = a (7)2 + 3  

150 = 49a + 3      Important: please be sure to square.

147 = 49a

3= a  

Next replace a into the formula now leaving x and y alone.

y = 3 (x+3)2 + 3   [Vertex form]

I hope this helps. Have a great day!

Answer:

A.  [tex]y = 3(x + 3)^2 +3[/tex]

Step-by-step explanation:

The vertex form is:

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

Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.

So with the given values we have:

[tex]150 = a(4 + 3)^2 + 3[/tex]

Then isolate [tex]a[/tex] for find the missing value.

[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]

Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]

Answer:

P10 = P₁₀ = -115.5

Step-by-step explanation:

Shown in the picture

Answer:

2 and 4/9ths

Step-by-step explanation:

2 ⁴/9 is equal to 2.4 constant

Answer:

b)

Step-by-step explanation:

i hope this help you

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

Answer:

Approximately 352,951.36

Answer:

Step-by-step explanation:

= 297197401415+842035

= 297198243450

=297197401415/842035

=352951.363

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

Answer: it ways ounces?????????????

Step-by-step explanation:

Answer:

were is the qn?

Step-by-step explanation:

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

Answer:

Side length = 4.80 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 14.4 cm:

An equilateral triangle has three congruent sides.

Perimeter of an equilateral triangle = side + side + side = 3(side)  

Perimeter = 14.4 cm

[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]

Therefore, the length of each side of an equilateral triangle is:  4.80 cm.

Answer:

x=–4, y=1

Step-by-step explanation:

adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1

plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4

we can check by plugging both x and y into one of the original equations:

-7(-4)+6(1)=34

28+6=34

34=34✓

Answer:

3 8 + 3 7  divided by 8

Step-by-step explanation:

[tex] \: \: \: \: \: [/tex]

[tex] \: \: \: \: \: [/tex]

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

Answer:(1-(1/x))/2

Step-by-step explanation:

(1-(1/x))/2

We can multiply both sides by x:

Top:  x(1-(1/x)) = (x - 1)

Bottom: 2x

(1-(1/x))/2

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

The answer is 7

Step-by-step explanation:

subtract 4 from 25 which is 21 than divide by 3 getting x =7

Answer:

x=7

Step-by-step explanation:

3x+4=25

3x=25–4

3x=21

X=21÷3

X=7

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

Answer:

Or is separate

And is together

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.