Write an equation in slope intercept form with the given information.
Goes through points (-1,3) and (1,5)

Answers

Answer 1

Answer:

y= x +4

Step-by-step explanation:

The slope-intercept form of an equation is given by y= mx +c, where m is the slope and c is the y-intercept.

Start by finding the slope of the line.

[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]

Slope

[tex]=\frac{5-3}{1-(-1)}[/tex]

[tex]=\frac{2}{1+1}[/tex]

[tex]=\frac{2}{2}[/tex]

= 1

Substitute m= 1:

y= x+c

Finally, find c by substituting a pair of coordinates.

When x= 1, y= 5,

5= 1 +c

c= 5 -1

c= 4

Thus, the equation of the line is y= x +4.

Additional:

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Related Questions

Which graph represents a function? A. B. C. D. E.

Answers

Answer:

Graph B

Step-by-step explanation:

In order for a graph to represent a function, it needs to pass the vertical line test.  In this case, graph B is the only one that passes the vertical line test.

Hope this helped :)

What similarities exist between the operations on polynomials and the operations on functions?

Answers

A function assigns the value of each element of one set to the other specific element of another set.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.

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I’m confused nd stuck

Answers

Answer:

B. (4,2)

Step-by-step explanation:

The answer is where the lines intersect.

Hope this helps!

If not, I am sorry.

Answer:

(4,2)

Step-by-step explanation:

the solution is where both lines intersect. We would write the point as (x,y). That’s why the answer is (4,2) not (2,4)

+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13

Answers

Answer:

outfit costs 81 dollars

Step-by-step explanation:

Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.

What is the equation of the line that passes through the point (6,-4) and has a slope
of-?

Answers

Answer:

y = -x + 2

Step-by-step explanation:

*Assuming the slope given is -1*

Applying point-slope formula :

y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 2

me QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
y-1=6x
y-1=3x
y-7=2x-6
y-7=x-2

Answers

We write the equation in the form of directional.

y -1 = 6x               ⇔    y = 6x + 1

y - 1 = 3x              ⇔    y = 3x + 1

y - 7 = 2x - 6         ⇔    y = 2x - 6 + 7

                                    y = 2x + 1

y - 7 = x - 2           ⇔    y = x - 2 + 7

                                    y = x + 5

Equations cleverly arranged .

Point Q = (0,1)  

b factor , not only fits the last equation

In the drawing have engraved points Q and R are tangent linear function appropriate to that point . This graphics solution . y = 3x + 1

Answer b

We check choice by the system of equations , where substitute wartoćsi points Q and R to the model equations linear function

The result of equations confirmed our choice Answer b

What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.

Answers

Answer:

31

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

Answer:

31°

Step-by-step explanation:

x + 149° = 180°

reason : because they are supplementary angle...

x = 180° - 149°

x = 31°

[tex]...[/tex]

7. Solve the inequality. c – 12 > –1 c < –13 c > 11 c > –13 c > 13

Answers

[Learning] How to solve a one-variable-inequality?

To solve a one-variable-inequality, isolate the variable on one side of the inequality. This can be done by using the four mathematical operations.

What is the four mathematical operations?

The four mathematical operations include the following:

AdditionSubtractionMultiplicationDivision

These operations can be used to solve equations, inequalities, and more.

[Solving] Simplifying the inequality:

Given inequality:

c – 12 > –1

As stated in the previous section, let's isolate the variable (c) using the four mathematical operations. Clearly, we have to add both sides by 12 of the inequality as "c" is being subtracted by 12. Therefore, we get:

⇒ c – 12 + 12 > –1 + 12⇒ c > –1 + 12

Simplify the right-hand-side to obtain the simplified inequality:

⇒ c > 11

Therefore, option B is the correct/best choice.

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Round to the nearest tenth wa hit is the perimeter of the triangle

Answers

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

Solve for x.
x2 + 2x + 1 = 0

Answers

Answer:

x = -1

Step-by-step explanation:

factor and you get

(x + 1)(x + 1) or (x + 1)^2

now set it equal to zero

x + 1 = 0

subtract one from both sides

x = -1

Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)

Answers

Answer:

y=-x²+8x+16

Step-by-step explanation:

y= -3(x – 4)(x – 4)

We multiply

y=(-3x+12)(x-4)

Expand the bracket

y= x(-3x+12) -4(-3x+12)

y=-3x²+12x

-4(-3x+12)

+12x+48

y=-3x²+24x+48

Divide by 3

y=-x²+8x+16

Photo attached

A. -2
B. -1
C. 1/-2
D. 1/2

Answers

Step-by-step explanation:

(X1,Y1) = (-2,2)

(X2,Y2) = (0,1)

• Find slope.

m = (Y2 - Y1)/(X2 - X1)

m = (1 - 2)/(0 - (-2))

m = -1/2

The answer is C.

In a right triangle, the larger pointed angle is four times larger than the smaller pointed angle.
What are your angles?

Answers

Answer:

The angles are 18° and 72°

Step-by-step explanation:

Finding the unknown angle

       Let the smaller angle = x

     The larger angle          = 4*x = 4x

x + 4x  = 90

      5x = 90

        x = 90 ÷ 5

       x = 18

Smaller angle = 18°

Larger angle = 4*18 = 72°

What is the product? Assume x>0.
(√3x + √5)√15x+2√30
O 3x√√5+3√165x+10-√√6
O 3x√5 +6√10x +5√3x +10√/6
O 3x√5+10√6
0 6√3x+10√6

Answers

Step-by-step explanation:

well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex].

[tex](\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\[/tex]

Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical

[tex](\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}[/tex]

Sam and Joe are working to solve 6 divided 1/4 Sam thinks the answer is 24. Joe thinks the answer is . Explain who is correct. Use a model to help explain your thinking.

Answers

Answer:

Sam is correct

Step-by-step explanation:

6 divided by 1/4.

This is asking how many times can 1/4 go into 6?  This might be a calculation needed if Sam brought 6 pies to the party of 24 people.  How should Sam cut the pies so that each person gets an equal share, and there is none left over.  This is a serious issue because Sam only knows how to cut pies into quarters.  He always gets confused when having to split a pie into 5, 6, 7, 8 or even 9 equal pieces.  Sam decided that if he cuts the pies into quarters, that he'll have exactly 24 pieces of pie, all equal in size, and exactly enough to feed everyone.

Sam says 24 is wrong.  I don't see the figure that Sam has in mind, but it apparently is not 24.

When a pie is cut into quarters, it will serve 4 people.  If one has 6 pies, and everyone takes only one slice, then there would be 4 x 6 or 24 pieces of pie, exactly what is needed:  one for each person.

How do I graph the inequality?

Answers

Answer:

Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

I know it’s simple but I’ve never been good at this topic please help —— 1232÷14

Answers

Answer:

88

Step-by-step explanation:

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively

Answers

The volume of the rectangular prism is 36/125 cm³.

What is the volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

3/5 x 4/5 x 3/5 = 36/125 cm³

Here is the complete question :

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?

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Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units

Answers

Answer: 75 square units

Given:

sin(C) = 1/2

Area of Triangle:

= 1/2 × a × b × sin(C)

= 1/2 × 13 × 23 × 1/2

= 74.75

≈ 75 square units

A regular polygon has 18 sides.
What is the size of each of its interior angles?
Give your answer in degrees (º).

Answers

Answer:

160 degrees.

Step-by-step explanation: The interior angle of a polygon formula. S=(n-2) x 180/n. The equation would look like p=(18-2) x 180/18=160.

The answer is(160) hope that helps

can someone please help mee(20 points and i will give brainliest!!!)

Answers

Answer:

vertex: (3,1)

y-intercept = (0,-8)

x-intercept- Smaller=2 Larger=4

Domain= all real numbers, identity, infinite

Range= 1 is greater than or equal to y

axis of symmetry=3

Step-by-step explanation:

Sal's Sandwich Shop sells wraps and
sandwiches as part of its lunch specials. The
profit on every sandwich is $2 and the profit on
every wrap is $3. Sal made a profit of $1,470
from lunch specials last month. The equation
2x + 3y = 1,470 represents Sal's profits last
month, where x is the number of sandwich
lunch specials sold and y is the number of wrap
lunch specials sold.

Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.

Answers

Answer:

it will be something like that

Step-by-step explanation:

u should modify the equation to be

y = (1470-2x)/3

Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =

Answers

Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.

How to find the numeric value of a function?

To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.

Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.

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Answer:

0A: (-∞, ∞)B: (-2, ∞)

Step-by-step explanation:

whats is 452 divided by2

Answers

Answer:

452/2 = 226

Step-by-step explanation:

45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.

Hope this helps! :D

452 divided by 2 would equal 226 because it’s cutting 452 in half.

Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown.

A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern.

Which statements must be true about the two congruent, shaded figures? Select two options.

The figures are rectangles because they are formed inside a rectangle.
The figures are rhombi because they are formed by four congruent line segments.
The figures are trapezoids because each has exactly one pair of parallel sides.
The figures are parallelograms because their opposite sides are parallel.
The figures are quadrilaterals because each has four sides.

Answers

Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

The fact that the figures are formed inside a rectangle does not necessarily mean that they are rectangles themselves.

Similarly, the fact that each figure has one pair of parallel sides does not necessarily make them trapezoids, as trapezoids have only one pair of parallel sides.

Finally, the fact that each figure has four sides does not necessarily make them quadrilaterals, as any closed shape with four sides can be considered a quadrilateral.

The two statements that must be true about the two congruent, shaded figures are:

The figures are parallelograms because their opposite sides are parallel.

The figures are rhombi because they are formed by four congruent line segments.

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Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.

Answers

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

How to determine the probability?

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

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Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tara take

Answers

Answer:

49 seconds

Step-by-step explanation:

42+7=49

Answer:

35 seconds

Step-by-step explanation:

Omar is going to an amusement park. The price of admission into the park is $25, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Omar have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on r rides?

Cost with 8 rides:
Cost with r rides:
Need answer quickly!

Answers

Cost with 8 rides: 65
Cost with r rides: 25+(r x 5)

The cost of 8 rides will be equal to $65 and the equation for the r rides will be equal to $25 + $5(r).  

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Price of admission into the park = $25

Price to pay for every ride in the park = $5

(a)

Then, the price to pay for 8 rides will be,

$25 + $5(8)

= $25 + $(40)

= $65

(b)

Then, the equation for the price to pay for r rides will be equal to,

$25 + $5(r)

Here, r is the number of rides.

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help i need for tomorrow

Answers

Answer:

The three bags for 92.50 pounds (offer B)

Step-by-step explanation:

Offer A:

[tex] \frac{35}{2 \times 25} = \frac{35}{50} = .7[/tex]

Offer B:

[tex] \frac{92.50}{3 \times 50} = \frac{92.50}{150} = .617[/tex]

Offer B has the lower unit price.

Please help with a good explanation

Answers

Set the equation as 2(2x+3)+2(x-5)=44 then solve for 44
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8
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