What should be done to these equations in order to solve a system of equations by elimination?
I- 3x + 2y = 16
12x + 5y = 21
Choose one correct answer:

Multiply the first equation by 2 and the second equation by 3.

Multiply the first equation by 3.

O Nothing needs to be done, since they both equal have 2's and 3's for coefficients.

O Multiply the first equation by
3 and the second equations by 2​

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer:

0.6832

Step-by-step explanation:

Given :

Mean, m = 52

Standard deviation, s = 7

-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6

2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71

Zscore = (48.6 - 52) / 7 = - 0.486

Zscore = (71 - 52) / 7 = 2.714

P < -0.486) = 0.31348

P < 2.714 = 0.99668

P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832

Answer:

I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer

Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %

Answer:[tex]h=\sqrt{96}in.[/tex]

Step-by-step explanation:

.

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

Answer:

Yes, 9^2+40^2=41^2

Step-by-step explanation:

From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

From what we have , the side lengths are 9, 40 and 41

As we can see, 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 40^2 + 9^2 = 1,681

Also, 41^2 = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this follows the theorem, we can conclude that the triangle is a right triangle

Answer:

C, Yes, 92+402=412.

Step-by-step explanation:

Answer:

y is 107° and z is 36°

Step-by-step explanation:

73° and y are supplementary angles so they add up to 180°

Answer:

y = 107

z = 36

Step-by-step explanation:

We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:

y + 73 = 180

and

y = 107

Next, using vertical angles, we can say that:

5z - 73 = y

We already have y = 107, so we can substitute that in:

5z - 73 = 107

5z = 180

z = 36

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  [tex]b \cap c[/tex]. (green "football")

image2 shows the complement of a (outside a):  [tex]a'[/tex]  (yellow)

image3 shows the intersection of those sets:  [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it")   :-)

Answer:

Step-by-step explanation:

Answer:

answer is D I think

Step-by-step explanation:

.............

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

To Find :

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

Answer:

using Pythagoras theorem x=32.7

Answer:

21.7

Step-by-step explanation:

In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:

cos(θ°) = adjacent / hypotenuse

We can substitute the values we have:

cos(37°) = 17.3 / x

And rewrite the expression:

x = 17.3 / cos(37°)

Then, use a calculator to evaluate:

x = 21.66194689

This can be rounded to 21.7

Answer:

48 1/4 packages

Step-by-step explanation:

Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

3n but n is 11 means 3x11

Answer:

3n = 33 when n = 11

Step-by-step explanation:

n = 11

therefore

3(11)

which means 3 times 11

Answer = 33

Hope this helps!

Answer:

24

Step-by-step explanation:

41-17=24

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Answer:

B,E

Step-by-step explanation:

(5,0) (5=x, 0=y)

A is false because y = 0

B is true because x=5

c is false because y = 0

D is false because again y = 0

E is true because 5,0 is on the x axis

- Gage Millar, Algebra 2 tutor

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]

9514 1404 393

Answer:

  -12dx +15ex +9fx

Step-by-step explanation:

  - 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)

  = -12dx +15ex +9fx

Answer:

Yes

Step-by-step explanation:

We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:

y = 6 - 2x

2 = 6 - 2(2)

2 = 6 - 4

2 = 2

Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x

Yes, the line y=6-2x passes through the point (2, 2).

Given that, the line y=6-2x passes through the point (2, 2).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get

2 = 6-2(2)

2 = 2

Since, LHS = RHS

Yes, the line y=6-2x passes through the point (2, 2).

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

Please mark as the brainliest

Thank You

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

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

hope it helps...

have a great day!!!

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Answer:

you us the equation given and plot points in the graph that are given with the equation.

Answer:

Your answer would be C: occurred during the same period of time

Step-by-step explanation: