slope intercept form
through: (2, 4) and (1, -3)​

a. 12 deg, b. 168 deg

We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,

x + y = 180

y = 2(90 - x ) + 12

Solving:

x + 2(90 - x) + 12 = 180

-x + 180 + 12 = 180

x = 12

12 + y = 180

y = 168

Answer:

descrease & increase

Step-by-step explanation:

Answer:

Decrease and increase.

Step-by-step explanation:

Answer: 5(v + 22).

Step-by-step explanation: The distributive property is a property of mathematics that says that multiplying the sum of two or more terms by another term will give the same result as multiplying each term individually by the other term and then adding the products together. Thus, we can factor the given equation and get 5(v + 22).

The value of x will be 12°

It should be noted that vertically opposite angles are equal.

Therefore, 4x will be equal to 48°

The value of x will be calculated thus:

4x = 48

Divide

x = 48/5

x = 12

Therefore, the value of x will be 12°

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Answer: 12

Step-by-step explanation:

vetrtical angles are equal to eachother. So to solve you would do

4x=48

then you have to get x by itself and to do so you need to divide the four by itself which will leave one. And as a rule you have to do it to the other side as well so…

4/4x=48/4

x=12

And that’s your answer

hope this helps

Answer:

(3,10)-(3,-10)

Step-by-step explanation:

The equation of line is x =3 .

Given,

Straight line graph.

Now,

Equation of line : y = mx + c

m = slope of straight line

c = y intercept.

Here,

The straight line is passing through x = 3 and y = 0.

So, y intercept is also zero.

Thus the equation of line : x = 3

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Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

You do -8 - 3 and you get 11

Answer:

$798.15

Step-by-step explanation:

Easy multiply $5,321 by 15

79,815/ 100  

Answer:

The correct awnser is C.

Step-by-step explanation:

Answer:

It takes 4 movies for the costs to be equal.

Step-by-step explanation:

Let y = cost; let x = number of movies.

Plan 1: y = x + 22

Plan 2: y = 3x + 14

System of equations:

y = x + 22

y = 3x + 14

3x + 14 = x + 22

2x = 8

x = 4

Answer: It takes 4 movies for the costs to be equal.

Answer:

The 65% markdown on $158.25 reduces the price by = $102.86

And the new amount price after 65% markdown = $158.25 - $102.86

                                                                                 = $55.39

Step-by-step explanation:

Given the amount

If the Markdown on $158.25 is 65%

i.e.

65% of $158.25 = 65/100 × 158.25

                           = 0.65 × 158.25

                           = $102.86

So, the 65% markdown on $158.25 reduces the price by = $102.86

And the new amount price after 65% markdown = $158.25 - $102.86

                                                                                 = $55.39

Answer:

x/35 = 2/7

x = 2/7 ×35

x = 2×5

x = 10

Answer:

x = 10

Step-by-step explanation:

Equation Solving

A common strategy to solve equations given in a rational form is to eliminate denominators.

If the equation is given in the form:

[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]

We use the cross-product property to make it linear:

cx = ab

And solve it easily by dividing by c.

We are given the equation:

[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]

Cross-multiplying the denominators:

7x = 2*35

Solving:

x = 70/7=10

x = 10

[tex]Answer:\ f(x)=-\sqrt{x-2}+3[/tex]

Step-by-step explanation:

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³

Surface area of cone without base: [tex]\pi[/tex]rl

Surface area of hemisphere without base: 2[tex]\pi[/tex]r²

We can just apply the formulas for the question:

Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)

                        = 96[tex]\pi[/tex] + 144[tex]\pi[/tex]

                        = 240[tex]\pi[/tex]

                        = 754cm³ (3 s.f.)

Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)

                                = 60[tex]\pi[/tex] + 72[tex]\pi[/tex]

                                = 132[tex]\pi[/tex]

                                = 415cm² (3 s.f.)

The 13th term of the given arithmetic sequence is estimated as a = 67x - 64.

In Arithmetic Progression, the difference between the two arithmetic orders is a constant value (AP). Arithmetic Sequence is another name for it.

We'd get to a few specific terms in AP, that were denoted as:

The AP may also be defined using common distinctions, as shown below.

Now, for the given question;

Consider the first term is 'a₁' = -5x+8

Consider the second term as 'a₂' =  x+2

Then, the common difference is calculated as;

d = a₂ - a₁

d = x+2 -(-5x+8)

d = x+2 + 5x - 8

d = 6x - 6

Now, find the 13th term using the formula of nth term;

an = a + (n − 1) × d

a₁₃ = a₁ + (13 - 1) × d

Substituting the values;

a₁₃ = -5x + 3 + (13 - 1) × (6x - 6)

a₁₃ = -5x + 3 + (12) × (6x - 6)

a₁₃ = -5x + 3 + 72x - 72

a₁₃ = 67x - 64

Therefore, the value of the 13th term of an  arithmetic sequence is found as a₁₃ = 67x - 64.

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The correct question is-

Find the 13th term of the arithmetic sequence

−5x+8, x+2, 7x-4,

Answer:

Its 5

Step-by-step explanation:

25 divided by 5 is 5

Answer:

x=√3

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+3x−2=3x+7

Step 1: Subtract 3x from both sides.

3x2+3x−2−3x=3x+7−3x

3x2−2=7

Step 2: Add 2 to both sides.

3x2−2+2=7+2

3x2=9

Step 3: Divide both sides by 3.

3x2

3

=

9

3

x2=3

Step 4: Take square root.

x=±√3

x=√3 or x=−√3

Step-by-step explanation:

what is correct answer plss tell me also

Answer:

The linear system shown is inconsistent.

Step-by-step explanation:

In the system given, the lines do not cross each other. This means that the system has no solution.

A linear system with no solution is considered to be inconsistent.

Hope this helps.

Answer:

the guy above me is right I had it in a test give him branilest

Step-by-step explanation:

Answer:

.8345

Step-by-step explanation:

[tex]2x+40=60\\2x=20\\x=10[/tex]

Given:

Principal = Rs. 2000

Rate of interest = 20% p.a. compounded quarterly.

Time = 1 year

To find:

The compound interest.

Solution:

Formula for amount:

[tex]A=P\left (1+\dfrac{r}{n}\right)^{nt}[/tex]

where,

P = Principal

r = Rate of interest

t= Time

n = number of times interest compounded in an year.

Putting P=2000, r=0.2, n=4 and t=1, we get

[tex]A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]

[tex]A=2000\left (1.05\right)^{4}[/tex]

[tex]A=2000\left (1.21550625\right)[/tex]

[tex]A=2431.0125[/tex]

Now, the compound interest is

[tex]C.I.=A-P[/tex]

[tex]C.I.=2431.0125-2000[/tex]

[tex]C.I.=431.0125[/tex]

Therefore, the compound interest is Rs 431.0125.

Answer:

its C

Step-by-step explanation:

Answer

D. 440

Step-by-step explanation:

you had me confused so I had to go in my mathmetics book it was 1/4 not 14 thats what had me confused

Answer:

The correct answer is 39

Answer:

it's 39 I think....️️yh I'm sure- wait am I yhhhh wait noooo

The length of parking lot in drawing will be 285 centimeters.

We are given the ratio of measurement in drawing to the measurement in real. In the ratio, 5 centimeters represents measurement in drawing and 2 meters represent drawing in real. Further, let the length of parking lot in real life be x centimeters.

Representing the mentioned information in ratio and proportion form - 5÷2=x÷114

Now performing cross multiplication of mentioned ratio and proportion to find the value of x.

2 × x = 5 × 114

Performing multiplication on Right Hand Side of the equation

2  × x = 570

Shifting 2 to denominator on Right Hand Side of the equation

x = 570÷2

Performing division on Right Hand Side of the equation

x = 285 centimeters.

Hence, the length of parking lot in drawing will be 285 centimeters.

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Answer:

We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex]  would be:

Step-by-step explanation:

We know that the slope-intercept of the line equation is

[tex]y=mx+b[/tex]

here

Given the equation

[tex]y\:=\:\frac{4}{5}x-3[/tex]

comparing with the slope-intercept of the line equation

The slope = m = 4/5

Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex]  would be:

Answer:

1. Undefined slope 2.y<2x-5 3.30x+515

Step-by-step explanation:

Answer:

D on edge

Step-by-step explanation:

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

Given the equation

[tex]7x+9y=5[/tex]

simplifying to write in the lope-intercept form

[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]

Cookies sold by Billy are 10 and by Betty are 5;

Total cookies sold by Billy and Betty are 15;

Let the cookies sold by Billy be 'C₁' and by Betty be 'C₂';

what is Permutation?

In mathematics, permutation relates to the act of arranging all of the contributors of a hard and fast into a few sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. diversifications occur, in extra or less prominent methods, in almost every place of arithmetic. They regularly stand up whilst one of a kind orderings on positive finite sets are considered.

what's a combination?

The mixture is a manner of selecting objects from a collection, such that (not like permutations) the order of selection does now not matter. In smaller instances, it is feasible to be counted the wide variety of combinations. combination refers back to the mixture of n things taken ok at a time with out repetition. to consult combos in which repetition is authorized, the terms k-choice or k-mixture with repetition are regularly used.

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