Identify the constant of proportionality from the graph.


A. 3

B. 9

C. 1/3

D. 6​

Given:

A figure of a right angle triangle.

To find:

The value of x°.

Solution:

The given triangle is a right angle triangle. So, the measure of one angle is 90 degrees.

The measure of other two angles are 3x° and 7x°.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

Using the angle sum property of the triangle, we get

[tex]90^\circ+3x^\circ+7x^\circ=180^\circ[/tex]

[tex]10x^\circ=180^\circ-90^\circ[/tex]

[tex]10x^\circ=90^\circ[/tex]

Divide both sides by 10.

[tex]x^\circ=\dfrac{90^\circ}{9}[/tex]

[tex]x^\circ=10^\circ[/tex]

Therefore, the value of x° is equal to 10°.

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Answer:

Step-by-step explanation:

area = (3x³y)(2xy + x⁵)

= 3x³y·2xy + 3x³y·x⁵

= 6x⁴y² + 3x⁸y

Answer:

Step-by-step explanation: B

Answer:

ok

Step-by-step explanation:

what do you want me to do now

Answer:

C. y= 1.5x

Step-by-step explanation:

Everytime multiply the first number 1.5 (y) by the X variables it gives you another Y variable. For example, 1.5 times 2 = 3. 1.5 times 3 = 4.5. And 1.5 times 4 = 6!

Answer:

no its not 3.5

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

The angles are equal to each other (vertical angles)

Hence:

9y + 7 = 2y + 98

9y - 2y = 98 - 7 (Minus both sides by 2y and 7)

7y = 91 (Simplify)

y = 13 (Divide both sides by 7)

Answer:

There are two paramount differences between art and science. The first is that art is subjective while science is objective. The second is that art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Answer:

There are two differences

Step-by-step explanation:

Art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Answer:

hi.a..a.q.q.q.q..w.w.q.

Answer:

Step-by-step explanation:

Vertex: ( -2, -25)

Axis of symmetry: -2

Answer: I helped you now I helped me

Step-by-step explanation:

Would you shoutout me if I poured shamrock shake on my headYou

Answer:

its C aka none of the above

Step-by-step explanation:

Have a good day:))

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Answer: 2/3

Step-by-step explanation:

Answer: -2/3

Step-by-step explanation:

Hope This Help?

Please Mark Me brainly!

Answer:

B

Step-by-step explanation:

Answer:

The ratio of a 45-45-90 traingle is 1:1:[tex]\sqrt{2}[/tex].

Answer:

I think $0.75

Step-by-step explanation:

$0.75 because 7/10 is 0.7

Answer:

362+3x=500

Step-by-step explanation:

x is the varible and it represents how many chairs you need.

Answer:

B

Step-by-step explanation:

Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm

Hope this helps!

Answer:

your answer will be Option C.256

Step-by-step explanation:

hope it helps

Answer: 125.66

Step-by-step explanation: my explanation is i searched it

Answer:

option c.

8.9x+8.7+6.2

option f.

6.2+8.7+8.9x

Answer:

The 4th option, 10g + 24 = t

Step-by-step explanation:

It costs 24 dollars per month no matter what.

$10 * the amount of GB you want

Add those two values to get the total cost per month.

In this case you want 5 GB, so substitute the g in the equation for 5. You will get:

10 * 5 +24 = t

50 + 24 = t

74 = t

So it costs 74 dollars per month to get 5 GB.

Answer:

10, 15, 15, 20, 20, 20, 30, 30, 45, 45

Step-by-step explanation:

Answer: Gas station P

Step-by-step explanation:

When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.

Gas station P charges more than gas station M.

A unit rate means a rate for one of something.

Given is a table and a graph,

When we compare each, we get,

Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.

Hence, gas station P charges more than gas station M.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Answer:

C

Step-by-step explanation:

We want to evaluate the definite integral:

[tex]\displaystyle \int_0^1 (x+2)(3x^2+12x+1)^{1/2}\, dx[/tex]

Again, notice that the radicand is quite similar to the outside factor. So, we can use u-substitution again. We will let:

[tex]\displaystyle u=3x^2+12x+1[/tex]

Then:

[tex]\displaystyle \frac{du}{dx}=6x+12[/tex]

Hence:

[tex]\displaystyle du=6x+12 \, dx[/tex]

And we can divide both sides by 6:

[tex]\displaystyle \frac{1}{6}\, du=x+2\, dx[/tex]

Note that the limits of integration of our original integral (from x = 0 to x = 1) is in the domain of x. Since we changed variables, we should also change the limits of integration to u. So:

[tex]u(0)=3(0)^2+12(0)+1=1[/tex]

And:

[tex]u(1)=3(1)^2+12(1)+1=16[/tex]

Hence, our new limits of integration is from u = 1 to u = 16.

Perform the substitution:

[tex]\displaystyle =\int_{1}^{16} u^{1/2}\Big(\frac{1}{6}\, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{6}\int_1^{16}u^{1/2}\, du[/tex]

Integrate:

[tex]\displaystyle =\frac{1}{6}\Big(\frac{2}{3}u^{3/2}\Big)\Big|_{1}^{16}[/tex]

Simplify:

[tex]=\displaystyle \frac{1}{9}\Big(u^{3/2}\Big|_1^{16}\Big)[/tex]

Evaluate:

[tex]\displaystyle =\frac{1}{9}\Big(16^{3/2}-1^{3/2}\Big)=\frac{1}{9}(64-1)=7[/tex]

The answer is C.

Step-by-step explanation:

=4(x-1)-3(2x-5)

=4x-4-6x+16

=4x-6x-4+16

= -2x+12

hope it helps.

Answer:

2x + 11

1.) Distribute

4(x-1)-3(2x-5)

4x -4 -3 (2x-5)

2.) Connect like terms

4x -4 -6x + 15

-2x -4 +15

3.) Calculate

-2x + 11

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line is undefined, and can't be found. This is because the denominator of the rise over run fraction is always 0.

Answer:

X is equal to c-9 over b as required

Answer:

[tex]c =\frac{18 + 3 b x}{3}[/tex]

Step-by-step explanation:

3 ( c - b x ) = 18

Solve the brackets.

3c - 3 b x = 18

Take -3 b x to the right side.

3c = 18 + 3 b x

Divide both sides by 3.

[tex]c =\frac{18 + 3 b x}{3}[/tex]