Answers
Slope = 3, y intercept = 2
============================================================
Work Shown:
Find the slope of the line through (x1,y1) = (-2,-4) and (x2,y2) = (1,5)
m = (y2 - y1)/(x2 - x1)
m = (5 - (-4))/(1 - (-2))
m = (5 + 4)/(1 + 2)
m = 9/3
m = 3 is the slope
Plug m = 3 and (x1,y1) = (-2,-4) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-4) = 3(x - (-2))
y + 4 = 3(x + 2)
y + 4 = 3*x + 3*2 ... distribute
y + 4 = 3x + 6
y + 4 - 4 = 3x + 6 - 4 ... subtracting 4 from both sides
y = 3x + 2 is the slope intercept equation
Related Questions
Write the steps to graph the line from the equation.
y= 4x - 1
Answers
The graph of the given equation is attached below.
We are given the equation:-
y = 4x - 1
First we will find the x and y intercepts of the line.
Putting x = 0 to find the y-intercept of the graph, we get
y = 4*0 - 1
y = -1
Hence, the coordinates of the point will be (0,-1).
Putting y = 0 to find the x-intercept of the graph, we get
0 = 4x - 1
1 = 4x
x = 1/4
Hence, the coordinates of the point will be (1/4,0).
My plotting these coordinates on the graph and then joining the line passing through it, we will get our desired graph.
To learn more about equation, here:-
https://brainly.com/question/10413253
#SPJ1
lif a/b =⅔ find the value of 2a²+3b²/a²+b²
Answers
Answer:
95/4
Step-by-step explanation:
Given,
a/b =2/3
Therefore, 2a²+3b²/a²+b² = ?
We get,
a/b = 2/3
So, we can write
a = 2 and b = 3
Now,
2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]
= 2×4 + 3×9/4 + 9
= 8 +27/4 + 9
= (32+27+36)/4 [ Taking L.C.M, we get 4]
= 95/4
Which of the following is equidistant from a given directrix and focus?
Answers
The term used to describe the equidistance from a given directrix and focus is: C. a locus of points called a parabola.
What is a Parabola?A parabola can be defined as a curve on a plane where any given point is at equal distance from the focus (fixed point), and from a directrix (fixed straight line).
Thus, we can conclude that what is a locus of points called a parabola is equidistant from a given directrix and focus.
Learn more about a parabola on:
https://brainly.com/question/4148030
#SPJ1
9 ft
4.7 ft
6.5 ft
6.5 ft
Find the area of the triangle.
Answers
Answer: 21.15 ft²
Step-by-step explanation:
We can use the formula for the area of a triangle:
(b×h)/2
In this case, the base is 9 and the height is 4.7.
So, we substitute the variables with the numbers in this problem.
(9 × 4.7)/2
9 × 4.7 = 42.3
42.3/2 = 21.15
So, our final answer is 21.15 ft²
I really need some HELP.............
Answers
Answer:
119000
Step-by-step explanation:
The median is the middle value when placed from smallest to largest
95000, 112000, 126000, 13000
The middle is between 112000 and 126000 so take the average
(112000+126000)/2 =238000/2 =119000
Here are three different recipes for Orangey-Pineapple Juice. Two of these mixtures taste the same and one tastes different.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.
Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.
Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice.
Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning.
Answers
Using ratio we can conclude that Recipe 1 and recipe 2 tastes the same.
The multiplicity of two integers is shown by a ratio. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.
An ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or the value represented by this fraction are all ways to conceptualize ratios. Rational numbers, and occasionally natural numbers as well, are ratios of counts stated in terms of (non-zero) natural numbers. When two numbers are compared using the same unit of measurement, which frequently occurs, their ratio is a dimensionless number. A rate is created by multiplying two amounts with different unit measurements.Let us consider the ratio of the orange juice top the pineapple juice for the 3 recipes.
Recipe 1 = 4 : 6 = 2 : 3
Recipe 2 = 6 : 9 = 2 : 3
Recipe 3 = 9 : 12 = 3 : 4
Hence from the above ratios we can conclude that Recipe 1 and recipe 2 tastes the same.
To learn more about ratio visit:
https://brainly.com/question/13419413
#SPJ1
Select all the correct answers.
Which expressions below are equal to each other?
3 × (4 + 2)
3 + (4 × 2)
(3 × 4) × 2
(3 × 4) + 2
(3 + 4) + 2
3 × (4 × 2)
Answers
Answer:
Answers 3 ((3x4)x2) and 6 (3x(4x2)) are equal to eachother.
Step-by-step explanation:
1. 3(4+2)=18
2. 3+(4x2)=11
3. (3x4)x2=24
4. (3x4)+2=14
5. (3+4)+2=9
6. 3x(4x2)=24
3. and 6. are the only two answers that have the same outcome, therefore equaling eachother.
A group of 32 students raised money to pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay? (Round to the nearest hundredths).
Answers
Answer: 32.63
Step-by-step explanation:
they will have to pay 3200-2156=1044
each student will need to pay
1044/32= 32.625 but this number rounded to the nearest hundredths is 32.63
Answer:
each student would have to pay 32.63
Step-by-step explanation:
3200-2156=1044
1044 divided bye the number of students is 32.625
32.625 rounded to the rearest hundreth is 32.63
In triangle ABC, ZA=25°, ZC=55° and AB-60. What are the approximate measures of the remaining side lengths of
the triangle?
BCN 31, AC 72
BC 72, AC 31
BC 23, AC 87
O BC 87, AC 23
Answers
The side length of the triangle AC and BC will be 72 and 31. Then the correct option is A.
What is the sine law?The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The sine law in the triangle ΔABC is given as,
AB / sin C = BC / sin A = AC / sin B
In triangle ABC, ∠A = 25°, ∠C = 55° and AB = 60. Then the third angle is given as,
∠A + ∠B + ∠C = 180°
25° + ∠B + 55° = 180°
∠B = 100°
Then the length of BC is given as,
60 / sin 55° = BC / sin 25°
BC = 30.955
BC ≈ 31
Then the length of AC is given as,
60 / sin 55° = AC / sin 100°
AC = 72.134
AC ≈ 72
The side length of the triangle AC and BC will be 72 and 31. Then the correct option is A.
More about the sine law link is given below.
https://brainly.com/question/17289163
#SPJ1
Use the gcf to factor the expression 40x+24y-56
Answers
Answer:
40x+24y-56=
8(5x+2y-7)
Step-by-step explanation:
i 15 =
A -1
B 1
C -i
d i
Answers
Answer:
C. -i
Step-by-step explanation:
i^n is expondential. i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1.
Answer:
it is i
Step-by-step explanation:
Problem:
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.
Answers
Answer:
The answer is: y = 9.25x
Step-by-step explanation:
Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.
Here, m is the constant of proportionality and we have to find its value.
Given that Craig earns $37 for 4 hours duty.
So, from equation (1), we have 37 = 4m, ⇒ m = 9.25
Therefore, the equation becomes y = 9.25x. (Answer)
Brainliest to the one thats right
Answers
Answer:
Option C is correct.
Step-by-step explanation:
In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.
Sketch the graph
y= -x + 4
Answers
Answer:
You would need to put points at:
(-4,6)
(-3,5)
(-2,4)
(-1,3)
(0,2)
(1,1)
(2,0)
(3,-1)
(4,-2)
(5,-3)
(6,-4)
The graph will look like the one attached:
Hope this helps!!
- Kay :)
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answers
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
Answer quick please
Answers
Answer:
18
Step-by-step explanation:
3 3/8 becomes 27/8.
27/8 x 16/3=18
You have to flip 3/16 since you are dividing.
Answer:18
Step-by-step explanation:
3 3/8 devided by 3/16=18
Fourteen out of the twenty people in your class have black hair.
Answers
Every month, Ms. Hughes pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car each month. At the end of the year, her savings account balance changed by -$2,940 from payments made on her car loan.
What is the change in Ms. Hughes’s savings account balance each month due to her car payment? Show your work and/or explain your reasoning.
What is the total change in Ms. Hughes’s savings account balance after making six monthly payments on her car loan? Show your work and/or explain your reasoning.
Answers
After making six monthly payments on her car loan, Ms. Hughes's savings account balance will decrease by $1,470.
To find the change in Ms. Hughes's savings account balance each month due to her car payment, we can divide the total change in balance for the year ($-2,940) by the number of months in a year (12):
Change in savings account balance each month = $2,940 / 12 = -$245
So, Ms. Hughes's savings account balance decreases by $245 each month due to her car payment.
To find the total change in Ms. Hughes's savings account balance after making six monthly payments on her car loan, we can multiply the change in savings account balance each month by the number of months (6):
Total change in savings account balance after six monthly payments = -$245 * 6 = -$1,470
To learn more about account here:
https://brainly.com/question/27423887
#SPJ1
what two numbers multiply to -36 and add to -5
Answers
Answer:
9 and -4 is the answer it should be correct
The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? (1 hour = 60 minutes) *
Answers
Step explanation: 36x15=540, after that just break down your 60x. then, divide 60 ÷ 540, which it gives you equal 9x.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
For more such questions on explicit
https://brainly.com/question/30394385
#SPJ8
Compute the radius of a circle with a circumference of 255 inches. Use 3.14 for pi
Answers
Answer:
the answer is 40 hope this helps you
simplifly 3x + 2 – 3x + 7 +5x and find the coefficient in the simplified expression
Answers
Answer:
3x + 2 - 3x + 7 + 5x = 5x + 9
Step-by-step explanation:
The coefficient is 5.
Consider the numerical expression: 3^4
If the given expression is raised to the power of 12, which expression is NOT equivalent?
A) 3^16
B) 3^48
C) (3^12)^4
D) (3^6)^8
Answers
Remember that the exponents are multiplied meaning that it is equal to 3^48
Answer:
B 3^48
Step-by-step explanation:
Using the chart "Amount of $1 at Compound Interest" from previous reading section "More Compound Interest", find the
total amount and amount of In interest paid in the following compound
interest problems.
$3,000 at 8% for 5 years.
Compounding| Total Amount | Interest Amount
annually
semiannually
quarterly
Answers
Answer:
Step-by-step explanation:
Quarterly: Total Amount= $1,632.62 Interest Amount= $732.62
Still stuck? Get 1-on-1 help from an expert tutor now.
Dan was getting rs. 100 for 5 years at an interest rate of 5%. Find the accumulated value of annuity at the end of 5 years
Answers
The future value of the annuity after the end of 5 years is $552.56.
Given that, r =5%= 0.05, 5 years = 5 yearly payments, so n = 5, and P = $100.
What is the annuity formula?The formula to find the annuity formula \(FV=\frac{P \times ((1+r)^{n}-1 )}{r}\).
Now, \(FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}\)
⇒FV = 100 × 55.256
⇒FV = $552.56
Therefore, the future value of the annuity after the end of 5 years is $552.56.
To learn more about the annuity formula visit:
https://brainly.com/question/11691655.
#SPJ1
Use the graph to estimate the x- and y-intercepts.
Answers
The x intercept is -18 and the y intercept is 16
Step-by-step explanation:
Hello there!
In order to find the x and y intercepts, we need to find where the line is intercepting the x and y lines
The x coordinates are on the line that is horizontal, and the y coordinates are on the line that is vertical.
The line is hitting the y coordinate (0, 16)
This means, the y intercept is 16
Now we need to find the x intercept
Since the line isn't clearly hitting a coordinate, we need to estimate the most proper answer
As you can see, the coordinates are going up by increments of 4
In this case, since we are looking at the negatives, it is going down by 4
Now the line is hitting the x coordinates at around halfway between two numbers
And since the numbers are going down by 4, half of it would be going down by 2
Meaning, that the x intercept would be 2 below -16
And 2 below -16 is -18
This means, the x intercept is -18
What is the equation to 6x=0.4
Answers
Answer:
Step-by-step explanation:
15
what is the average rate of change f (t) t=0 t=236 seconds per second -36 feet per second -18 seconds per second 18 feet per second
Answers
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answers
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation: