Solve using the substitution method. What is the y coordinate of the solution?

y = 3x - 6

15 x + 3y= 30

Question 1 options:

y = 2


y = -2


y= 3x -6


y = 0

Answer:

∠9 + ∠10 = 135°      combined, they are alternate equal to ∠2

∠1 =45°                    it is supplementary to ∠2

∠6 = 45°                  it is corresponding congruent to ∠8 which is alternate

                               equal to ∠1  

∠4 + ∠5 = 135°        combined, they are corresponding congruent to ∠2  

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

All the angles are mentioned on the diagram.

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Answer: -10/7

Step-by-step explanation:

Answer:

2/5; 1/2; 2/3; 14/10; 2/6

Step-by-step explanation:

When finding equivalent fractions, multiply or divide both the numerator and denominator by the same number.

4/10 = 2/5 because 4÷2=2 and 10÷2=5

The same thing has been done to both the numerator and denominator (in this case they have both been divided by 2)

Answer:

The most kits she can create is 6 with 5 sedimentary and 7 metamorphic

Step-by-step explanation:

Hope this helped, have a blessed day

Answer:

d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Keep on crossing off the dots. One for the left, one for the right. At the end, you will be left with two dots over the #2. Add those and divide by 2. You will get 2.

Answer: (13.5 , 8)

14 + 13 / 2 = 13.5

14 + 2 / 2 = 8

Answer:

(13.5,8)

Step-by-step explanation:

midpoint formula = [tex](\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})[/tex]

[tex](\frac{14 +13 }{2}, \frac{14 +2 }{2})[/tex] = (13.5,8)

Answer:

(-4, -7)

Step-by-step explanation:

21y=-147

y=-7

2x-5x(-7)=27

x=-4

Answer:

2.25 meters or 9/4 meters

Step-by-step explanation:

18/8= 9/4 or 2.25

Answer:

65 throws

Step-by-step explanation:

5/9 = 35/x

5x = 315

x = 63

Answer:

Step-by-step explanation:

Answer:

126.5

Step-by-step explanation:

Answer:

m∠1 = 24°

m∠3 = 66°

m∠6 = 66°

Step-by-step explanation:

They are all near the corners of the rectangle

The corners always equal 90°

But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°

Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.

m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So

90 - 24 = 66

So both m∠3 and m∠6 = 66°

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is believed that 11% of voters are Independent.

This means that [tex]p = 0.11[/tex]

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that [tex]n = 33[/tex]

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]

[tex]P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724[/tex]

[tex]P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202[/tex]

[tex]P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041[/tex]

[tex]P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516[/tex]

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]

[tex]P(X < 2) = 0.0214 + 0.0872 = 0.1086[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914[/tex]

0.8914 = 89.14% probability that more than 2 people are Independent.

Answer:

The radius is given its 10 in

The diameter is 20 in

Step-by-step explanation:

Two find the diameter given the radius you just multiply by 2

10x2=20 therefore the diameter is 20

Hope this helps :)

Answer:

Radius = 10 inches. Diameter = 20 inches

Step-by-step explanation:

Radius is the halfway point in a circle, the line which says 10 inches. While the diameter is the full length across the circle, which would be the radius times itself, 20.  

Hope this helps!

Answer:

[tex]30x+85y\leq 250[/tex]

Step-by-step explanation:

Cost of each part is [tex]\$85[/tex]

Cost of working one hour is [tex]\$30[/tex]

Let number of hours worked be [tex]x[/tex] and

number of parts bought be [tex]y[/tex].

The maximum amount of money that John can spend is [tex]\$250[/tex].

From the question we have

[tex]30x+85y\leq 250[/tex]

The required inequality is [tex]30x+85y\leq 250[/tex].

Answer:

24 cm squared

Step-by-step explanation:

Answer:

O D. Luis had 6 pencils. He placed them in 4 groups. How many were in each group?

Step-by-step explanation:

this makes more sense, since he had 6 pencils and put them in 4 different groups. so, 6 *4 = 24 c:

Answer:

1. 0.3333333

2. 0.4166666

3. 0.6666666

Step-by-step explanation:

add them all up for a total of 12. then divide 4 into 12 for the probability of number 1. Next, divide 5 into 12 for the probability of green. Finally, add 3 and 5 to get 8 and divide by 12.  

Answer:

.75

Step-by-step explanation:

1000-250=750

750/1000 = 3/4

3/4 = .75

Answer:

The answer is 34

Step-by-step explanation:

so you need to fine out the value of x  

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

Radius of the Inner circle:

5.4 is the diameter so find the radius, divide by 2 = 2.7

Next, take pi (3.14) and multiply with the radius (2.7), and use a power of 2.

3.14(2.7)^2 = 22.8906. Then round to the nearest tenth: 23.

Radius of Outer circle:

2.2 is the diameter so find the radius, divide by 2 = 1.1

Next, take pi (3.14) and multiply with the radius (1.1), and use a power of 2.

3.14(1.1)^2 = 3.7994. Then round to the nearest tenth: 4.

Radius of the Inner circle: 23

Radius of Outer circle: 4

Please let me know if it was correct!

Answer:

[tex] \boxed{ \tt\frac{3}{5} }[/tex]

Answer:

strength, availability, preference, and cost

Step-by-step explanation:

Stability, purpose, texture, appearance, structure, and size.

Given:

The function is

[tex]f(x)=x^2+2x+1[/tex]

To find:

The value of [tex]f(x+h)[/tex] in simplified form.

Solution:

We have,

[tex]f(x)=x^2+2x+1[/tex]

Putting [tex]x=x+h[/tex], we get

[tex]f(x+h)=(x+h)^2+2(x+h)+1[/tex]

[tex]f(x+h)=x^2+2xh+h^2+2x+2h+1[/tex]

[tex]f(x+h)=x^2+h^2+2xh+2x+2h+1[/tex]

Therefore, the simplified value of [tex]f(x+h)[/tex] is [tex]x^2+h^2+2xh+2x+2h+1[/tex].

Answer:

d = 3x²+ 4x - 7

C'est la réponse j'espère que ça aide.