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2 years ago

Solve the system of equations by using substitution.

Mathematics

1 answer:

pantera1 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

2m + 3(3m - 11) = 0

2m + 9m - 11 = 0

11m = 11

m = 1

n = 3(1) - 11

n = 3 - 11

n = -8

(1, -8)

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The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

madreJ [45]

Answer:

45°

135°

Step-by-step explanation:

Let the measure of one angle be x

So, measure of its supplementary angle = 3x

$\implies \: x + 3x = 180 \degree \\ \\ \implies \: 4x = 180 \degree \\ \\\implies \: x = \frac{ 180 \degree}{4} \\ \\\implies \: x = 45 \degree \\ \\ \implies \: 3x = 135 \degree$

5 0

2 years ago

13=X/4 A. 13/4 B. 4/13 C. 52 D. 9

Snowcat [4.5K]

Answer:

Hi! The answer to your question is C. 52

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!

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2 years ago

Can anyone solve part C?

nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

$\frac{d}{dx}$ $\int\limits^x_a {f(t)} \, dt$ = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is y - 7 = 4(x - 35)

3 0

3 years ago

Read 2 more answers

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point

Likurg_2 [28]

The equation of the parabola in the vertex form is y = (x - 3 $)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h $)^{2}$ + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = $x^{2}$ - 6x + (9 -9) + 4

y = (x - 3 $)^{2}$ + ( -9 + 4)

y = (x - 3 $)^{2}$ - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y = (x - 3 $)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

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8 0

1 year ago

Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

5 0

3 years ago