What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced form.
Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Help!
Let f(x)= 7x² + 4x and g(x) = -9x -- 2. What function represents a new function, h(x), for which h(x)=(f+g)(x)
a. h(x)= -2x² + 2x
b. h(x) = 7x2 + 5x - 2
c. h(r)= -2x² + 4x - 2
d. h(x) = 7x- 5x - 2
Answer:
Option D
Step-by-step explanation:
h(x) = (f+g)(x) = f(x) + g(x)
= 7x² + 4x +(-9x-2)
= 7x² -5x -2
Town M is 282 feet below sea level. Town R is 679 feet above sea level. How much higher, in feet is Town R than M?
Given parameters:
Elevation of Town M = 282ft
Elevation of Town R = 679ft
Unknown:
How much higher is Town R than M = ?
Solution:
Town M lies below the sea level whereas Town R is above the sea level.
Graphically:
Town R 679ft
↑
↑
↑
↑
↔↔↔ Sea level
↓
↓
Town M 282ft
Town R is 282ft + 679ft higher than Town M = 961ft
6x-5=4x+1
x=6
x=0.5
x=2
x=3
{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?
Answer:
Domain = {-2, 2, 3, 4, 5}
Range= {6, 0, 6, -1, 3)
It is a function
Step-by-step explanation:
It is a function because there is only one y value for each x value
A teacher assigns 5 points for a correct answer and -2 points for an incorrect answer and 0 points for leaving the questioned unanswered. What is the score for Mohit who had 22 correct answers and 15 incorrect answers and 7 unanswered questions?
Answer:
Mohit has a score of 80
Step-by-step explanation:
Answer: Mohit got a scoe of 70
Step-by-step explanation: had this question on my assigment
Calculate the slope between the points: (4, -3) and (4,7)
a
m=-1.25
b
m=undefined
C
m=0.5
m=0
Answer:
B
Step-by-step explanation:
Slope = 10/0 = undefined
A painter charges a flat fee of $100 and $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function f(h)=100+35h where f(h) represents the total amount the painter charges.
Answer:
I don't know
Step-by-step explanation:
But the question you asked i think you have add and stuff
6th grade mathematics
Answer:
and?
Step-by-step explanation:
what is the slope of this line ?
Answer:
1 I think
Step-by-step explanation:
Change in y
--------------------
Change in x
The triangles shown below must be congruent.
True or false
Answer:
true
Step-by-step explanation:
they're not dilated in anyway.
Evaluate g(2) =
[tex]g(2) =[/tex]
Step-by-step explanation:
question is not clear
Pls help me. I need help
Answer:
x= horizontal y=verticalThe highest temperature recorded in the town of Westgate this summer was 100°F. Last
winter, the lowest temperature recorded was -1°F. Find the difference between these
two extremes.
Answer:
101
Step-by-step explanation:
100- (-1) NEGATIVE MINUS NEGATIVE CANCEL OUT ON EACH OTHER AND GIVE POSITIVE: 100 + 1 = SO THE ANSWER IS 101^F
The difference between these two extreme temperatures is of
101° F.
We have the highest temperature recorded in the town of Westgate which is equal to 100°F. Last winter, the lowest temperature recorded was -1°F.
We have to find the difference between these two extremes.
What is Temperature ?Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.
According to question, we have -
Highest temperature recorded = 100°F
Lowest temperature recorded = -1°F
Let the the difference between these two extreme temperatures be x. Then -
x = Highest temperature recorded - Lowest temperature recorded
x = 100 - (- 1) = 101° F
Hence, the difference between these two extreme temperatures is of
101° F.
To solve more questions on Temperature variations, visit the link below-
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Solve the following system using substitution.
6x + 3y= - 12
y= -2x -6
(3,-12)
no solution
infinitely many solutions
(2,0)
Answer:
No solution
Step-by-step explanation:
if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.
Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint her rectangular door, which is 3 feet wide and 7 feet high. What is the total area of the walls that Beth needs to paint?
A. 347 square feet
B. 368 square feet
C.578 square feet
D. 1019 square feet
E. 1040 square feet
Answer:
D; 1019 square feet
Step-by-step explanation:
10 x 13 x 8 = 1040 square feet
3 x 7 = 21 square feet
1040 - 21 = 1019 square feet (:
Answer:
10x13 is 130
130x8 is 1040
Step-by-step explanation:
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation ([tex]\sigma[/tex]) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
[tex]n=(\dfrac{z^*\sigma}{E})^2[/tex], z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, [tex]\sigma[/tex] = 8.265, E = 1
So, [tex]n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}][/tex]
Hence, the number of first-year residents she must survey to be 95% confident= 263
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?
A) 0
B) 1
C) 2
D) 3
E) 4
Answer:
D. 3 Points
Step-by-step explanation:
Given
[tex]Members = 3[/tex]
[tex]Point = 9 - n[/tex]
[tex]1 \leq\ n \leq 8[/tex]
Required
Determine the least possible score
The least point a member of a team can get is when n = 8.
i.e.
[tex]Point = 9 - n[/tex]
[tex]Point = 9- 8[/tex]
[tex]Point = 1[/tex]
To get the least score, each of the 3 members must have 1 point each.
So:
[tex]Total = 3 * 1[/tex]
[tex]Total = 3[/tex]
HELP ILL AWARD BRAINLIEST
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
Solve the equation, justify
each step with an algebraic
property
50 + 3x = 7x- 2
Answer:
13
Step-by-step explanation:
Step 1:
50 + 3x = 7x - 2 Equation
Step 2:
50 = 4x - 2 Subtract 3x on both sides
Step 3:
52 = 4x Add 2 on both sides
Step 4:
x = 52 ÷ 4 Divide
Answer:
x = 13
Hope This Helps :)
55 in feet and inches
Answer:
1 foot 8 inches
Step-by-step explanation:
State the degree of the polynomial.
3x2y + 4xy + 1 − 5x4y − 6y,
Answer:
The degree of the given polynomial is 5
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.
The degree of a monomial is the sum of the exponents of the variables that appear in it.
We have the following polynomial:
[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]
Degree of the first monomial: 2+1=3
Degree of the next monomial: 1+1=2
Degree of the next monomial: 0
Degree of the next monomial: 4+1=5
Degree of the next monomial: 1
Thus, the degree of the given polynomial is 5
solve for x ! I need help
Answer:
x = 47°
Step-by-step explanation:
This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.
Answer:
x=45.6
Step-by-step explanation:
(2x-2)+x+45=180
Combine like terms.
3x+43=180
Subtract 43 on both sides.
3x+43=180
-43 -43
3x=137
Divide by 3 on both sides.
3x=137
/3 /3
x=45.6
(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:
which are the possible size lengths of a triangle?
Answer:
All of those which summed are more that the third side, so the second is the only possible answer.
Step-by-step explanation:
4+8 = 12 which is greather than 10
Answer:
D
Step-by-step explanation:
you need to be able to add all the numbers up and divide by three. D is the only one that makes sense because 8+10=18 18+18=36 36/3=12
Convert 50.0 mL to liters. Use the appropriate significant figures
Answer:
50 ml = 0.050 liters
Step-by-step explanation:
The solution is:
The mass/volume percent = 16/50 x 100% = 32%
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Explanation
Given:
Mass of NaCl, m = 16.0 g
Volume of solution, v = 50.0 mL
What to find:
The mass/volume percent.
Solution
The mass/volume percent of the solution can be calculated using the formula below
The mass/volume percent = mass/volume x 100%
so, we get,
The mass/volume percent
= 16/50 x 100%
= 32%
Hence, The mass/volume percent is 32%.
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complete question;
Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.
Find the total cost to the nearest cent.
$16 haircut; 15% tip
Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. If m∠4 = 105, what is m∠5?
Answer:
<5 = 105 degrees
Step-by-step explanation:
From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case
<4 = <5 (alternate angle)
Since <4 = 105 degrees, hence m<5 = 105 degrees
ASAP!! If quadrilateral PQRS is a square, what are the coordinates of point E?
Answer:
E - (28, 25)
Hope this helps!
Hey, I need help with a math question. thank you <3
Answer:
B
Step-by-step explanation:
For what values of x is the equation true? (Form 1st!)
x^2-4x=32
Answer:
It can be solved in many forms
one by replacing each point to see which one satisfy the equation or by using quadratic formula
so the right answer is the fourth one