Answer:
Step-by-step explanation:
You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.
y - y1 = m(x - x1)
In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.
The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.
So fill that in:
y - y1 = -3/2 (x - x1)
They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!
y - 16 = -3/2 (x - -12)
Simplify that ugly 'minus a negative' in the parenthesis.
y - 16 = -3/2 (x + 12)
If you were never told what form of equation to write, or they said "any form of the equation", then you're done!
This is in "point-slope" form.
y - 16 = -3/2(x+12) Ta-da!
If you need to change it to "slope-intercept' form then there are a few more steps.
y - 16 = (-3/2)x + (-3/2)12
y - 16 = (-3/2)x - 18
+16 +16
y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Need help fast hs geometry
= [180 - (100 + 40)]° = 40°
When two angles of a triangle are equal, then the triangle is isosceles.Here, the measure of angle A and B are equal, i.e., 40°So, ∆ABC is an isosceles triangle.Answers:
40°YesHope you could get an idea from here.
Doubt clarification - use comment section.
Multiply: (3x)(x4 + 5)
Answer:
12x² + 15x
Step-by-step explanation:
(3x × 4x) + ( 3x × 15)
Answer:
(3x) (X 4+5)
3x×(x×4+5)
3x×(4x+5)
12x^2+15x answer
I need to know day 4 and 5 i'm stuck
Answer:
Answer is below and I solved them.
Step-by-step explanation:
Absences from school:
8*3*3*3*3 = 648
Day 4 = 648
8*3*3*3*3*3 = 1,944
Day 5 = 1,944
Absences from Band:
8*3*3+28+28 = 128
Day 4 = 128
8*3*3+28+28+28 = 156
Day 5 = 156
Hope that helps.
Please tell me.
how to evaluate in math?
HELP PLEASE
The measure of an angle is 138°. What is the measure of its supplementary angle?
Answer:
Supplementary angle = 42⁰
Step-by-step explanation:
We know that
Sum of two supplementary angle = 180
Let,
Supplementary angle = x
=> 138 + x = 180
=> x = 180 - 138
=> x = 42⁰
If the measure of an angle is 138°, the measure of its supplementary angle is 42°
What are supplementary angles:Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.
Therefore, if the angles are x and y , For them to be supplementary,
x + y = 180°
If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:
let
its supplementary angle = x
138 + x = 180
x = 180 - 138
x = 42°
learn more on supplementary angles: https://brainly.com/question/25818150?referrer=searchResults
If Sally has 5 apples and Joe has 2 more apples than Sally but Joe gets robbed how many apples does Sally and Joe have all together
Answer:
Well, we need to know how many apples Joe was robbed of before we can finish the problem.
Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She gave all the left over pieces of peanut brittle to her mom. How many pieces of peanut brittle did Susan give her mom?
Answer:
72/4=18 with remainder of 3 peices given to her mom
Step-by-step explanation:
At the store one pack of pencils are on sale 4 for $1.25. Another pack has 8 pencils for $2.50 with 20% off. Which is the better deal?
Answer:
second pack
Step-by-step explanation:
1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31
2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.
I hope it wasn't too confusing
will mark brainleist
Answer:
Figure a) 2
Figure B) 4
Figure c) 5
Step-by-step explanation:
Answer: A: has 1 line B has 2 and 3 has 5
Step-by-step explanation:
Sue wants to increase 160 by 4%
She writes down
160* 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->
Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%
160 * =
Answer:
a) 1 04.
b) 160 * 0.94.
Step-by-step explanation:
b) We multiply by 1 - 0.06 = 0.94.
Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)
Answer:
160
Step-by-step explanation:
23.4456 x 6.66=156.147696 respectively.
156.147696 to the nearest ten is 160.
Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make
Answer:
63
Step-by-step explanation:
The least common multiple of 7 and 9 is 63
Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n
How is Maths used in Construction??
Can someone help me with 10 - 15 pages
Answer:
They measure the area, volume, length, and width, in construction
10 - 15 = -5
Step-by-step explanation:
HOPE THIS HELPED
If you help me you get 100 points please helppppppp
Answer:
25
Step-by-step explanation:
5 squared equals 25. That is all you need to know in this case
How many students answered exactly two questions incorrectly
Step-by-step explanation:
you didn't post the questions yk?!
Find the perimeter of the window to the nearest tenth 10cm
Answer:
54 cm
Step-by-step explanation:
$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.
The amount of the account which is also the principal is = $3,188
The formula for calculating the simple interest (I) of an account is = P × T × R / 100
Making P the subject of formula, P = 100 × I / T×R
Where,
T = 2 years
R = 12%
I = $765. 13
[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]
[tex]p = \frac{76513}{24} [/tex]
p = $3,188
Therefore, the amount of the account which is also the principal is = $3,188
Learn more about simple interest here:
https://brainly.com/question/2294792
Solve.
4 Joe solved (2x + 4) > 2(2x + 8) + 1 as shown at the
right. What error did Joe make? Solve the inequality.
(8)
Answer:
Step-by-step explanation: 2x+4+=
please tell me how do I answer questions. I repeat I need to know how to answer the questions? tell me please
Answer:
So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.
Step-by-step explanation:
1. Ask a teacher if you don't know answer to a certain subject you are studing
2. Practice makes perfect
3 . Discuss and work with partner
6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?
Answer:
$28
Step-by-step explanation:
30% = 30/100 = 0.3
40 x 0.3 = 12
40 - 12 = $28
help me on these questions pls
Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees
Step-by-step explanation:
what is 3/7-7/14 as a fraction
Answer:
-1/14or-0.07
Step-by-step explanation:
3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07
Georgia is 2 years younger than 1/3 of her Aunt Mika's age. How old would Georgia be if her Aunt Mika is 27?
Answer:
7
Step-by-step explanation:
First, we have to find 1/3 of 27, which is the aunt's age.
27/3 is 9.
Now, since Georgia is 2 years younger, we have to subtract 2 from 9.
9-2=7
-hope it helps
The United States and Canada have the production possibilities curves shown above. It is determined that the United States has the comparative advantage in peanuts. Will both nations gain from trade if the terms of trade that are offered are 1 Peanut= 3 Corn? Why or why not? Show your work.
This is economics
It is false both nations will benefit if the terms of trade are 1 peanut = 3 corn.
What is the comparative advantage?The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.
Will both nations benefit if they trade 1 peanut for 3 corn?No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.
Canada: Canada can produce 60 corn for every 20 peanuts, this can be understood as a 1 peanut : 3 corn ratio, therefore, this country will benefit from the 1 peanut = 3 corn term.United States: The United States produces 60 corn for every 60 peanuts or 1 peanut: 1 corn. Due to this, they will not benefit from the trade because this nation does not produce enough corn to meet the demand of 1 peanut = 3 corn.Learn more about comparative advantage in: https://brainly.com/question/4461081
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?
1. The percentage of people surveyed in East Harlem is 58.5%
2. The percentage of people surveyed in Upper East Side is 41.5%
From the question given above, the following data were obtained:
People surveyed in East Harlem = 183People surveyed in Upper East Side = 130Total people surveyed = 3131. Determination of the percentage of people surveyed in East Harlem.
People surveyed in East Harlem = 183Total people surveyed = 313Percentage of East Harlem =?Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100
Percentage of East Harlem = (183/313) × 100
Percentage of East Harlem = 58.5%
2. Determination of the percentage of people surveyed in Upper East Side.
Percentage of East Harlem = 58.5%Total percentage = 100%Percentage of Upper East Side =?Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)
Percentage of Upper East Side = 100 – 58.5
Percentage of Upper East Side = 41.5%
Learn more about percentage:
https://brainly.com/question/14899205
WILL GIVE BRAINLIEST
Answer:
B. H, I, JH(-5, -5), I(0, -6), J(2, -8)Step-by-step explanation:
You have to draw sets:
[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]
in the coordinates system.
[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]
dashed line
mark the region below the line
[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]
solid line
mark the region below the line
Read points on the common region (look at the picture).
what inequality does the number line graph represent
Answer: what number line
Step-by-step explanation: