PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out
his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).
Answers
Answer:
1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
2) [tex]y=4x+5[/tex]
3) [tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
Question 1:
All you have to do is solve for y to get the slope intercept form.
[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]
So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
Question 2:
Now for this one you have to find the line perpendicular to the previous equation.
Finding the slope:
So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]y=mx+b\\m=4\\b=5[/tex]
Now we just fill it in the formula...
[tex]y=4x+5[/tex]
Question 3:
For a parallel equation the slope will be the same in order for them to be parallel to each other.
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]m=-\frac{1}{4}\\b=4[/tex]
Now we just fill it in the formula...
[tex]y=-\frac{1}{4}x+4[/tex]
Related Questions
Write 360.124 in expanded and exponential form both
Answers
Step-by-step explanation:
Expanded 300+60+.1+.02+.004
exponential you can't have on if you don't have an exponent
300+60+1/10+2/100+4/1000
The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the width of the door?
Answers
Answer:
The width of the door is 36 inches
Step-by-step explanation:
The given parameters are;
The given area of the door = 3024 in.²
The length of the door = 48 + The width of the door
Let W represent the width of the door
Therefore, we have;
The length of the door = 48 + W
The area of the door = The length of the door × The width of the door
∴ By substitution, the area of the door = 3024 = W × (48 + W)
3024 = W × (48 + W) = 48·W + W²
48·W + W² = 3024
∴ 48·W + W² - 3024 = 0
Rearranging, we get;
W² + 48·W - 3024 = 0
By trial and error, we have;
(W + 84)×(W - 36) = 0
Therefore, given that the width of the door is a natural number, we have;
The width of the door, W = 36 inches
(b) Factorize: x2 - 49
Answers
Answer:
(x+7)(x-7)
Step-by-step explanation:
This one has the standard shape of a²-b², therefore its factorization is (a+b)(a-b).
Answer:
(x-7)(x+7)
Step-by-step explanation:
x^2 = x * x
-49 = -7 * 7
(x-7)(x+7)
b. Simplify by making mathematical expression
9 is subtracted from 3 times the sum
5 and 6.
Answers
Answer:
24
Step-by-step explanation:
3(5+6)-9
3(11)-9
33-9
24
Answer:24
Step-by-step explanation:
tis is the right answer
five less than the product of seven and a number is the same as 13
Answers
Answer:
Step-by-step explanation:5-7+13
find the roots of the equation (t+1)2 +(t-8)2=45
a.-5,-2 b.3,4 c. 5,2 d. 2,-3
Answers
t2 +2t+2+t2 _16t+64=45
2t2_14t+65=45
2t2_14t +20=0
(2t_4)(t_5)=0
t=2 t=5
answer is C.5,2
Which is the equation of the same line as y = 3x - 8?
A. 3x - 2y = 8
B.-3x - 2y = -8
C. 6x - y = 16
D. 6r - 2y = 16
Answers
Answer:
letter c. 6x-y=16
Step-by-step explanation:
Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!
Answers
Answer:
3y + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(4y + 3) - (y - 2)
Step 2: Simplify
Distribute negative: 4y + 3 - y + 2Combine like terms (y): 3y + 3 + 2Combine like terms (Z): 3y + 5Samuel's exit ticket is correct, because he multiplied both sides of the equation by seven, using the Multiplication Property of Equality to justify how he got from the first step to the second step. Selma's exit ticket is correct, because she subtracted three from both sides of the equation, using the Subtraction Property of Equality to justify how she got from the first step to the second step. Samuel's exit ticket is correct, but Selma's is incorrect, because she solved the problem in the wrong order. Selma's exit ticket is correct, but Samuel's is incorrect, because he solved the problem in the wrong order. Both students used the properties correctly to justify their correct solutions to the equation. Neither Samuel's or Selma's exit tickets are correct. Neither student used the properties correctly, even though their solutions are true.
Answers
Answer:
a, b, e
Step-by-step explanation:
i did the algebra nation.
What is the correct justification for the indicated steps?
Step C:
Step D:
Step E:
Answers
Answer:
Step C: distributive property
Step D: Tringonometric Sum Identity
Step E: Factoring
Step-by-step explanation:
The correct justification for the indicated steps:
Step C: distributive property Step D: Tringonometric Sum Identity Step E: FactoringThus, the Proof of de Moivre's Theorem is distributive property, Tringonometric Sum Identity and factoring.
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Identify a set of parallel and a set of perpendicular lines in this image.
Please helppp
Answers
Answer:
The third answer choice
Step-by-step explanation:
The two parallel lines are BF and CG the perpendicular are AD and BF because the first sets are side by side and the second sets cross each other at a certain point.
After taking typing lessons for three months, Johanna can type 285 words in five minutes. How many words can she type in 13 minutes?
Answers
Answer:
Hello,
-First find the unit rate, 285 divided by 5
since she can type 285 words in 5 minutes
the unit rate is 57 words per minute
-now multiply that by 13
57 times 13
741 words in 13 minutes
-Hope this helps
how do i do xy=4
2x-y+2=0
i'm solving by substition
Answers
so I think the answer is very difficult ask to someone else
Step-by-step explanation:
xy=4
2x-y+2=0
how to find
range
mode
median
mean
Answers
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest?
Step-by-step explanation:
Answer:
RANGE = Highest number - lowest numberMODE = Total number of numberMEDIAN = {(n+1)÷2}th valueMEAN = €x/Nhelp will mark brainlist
Answers
Is 2.3495 a rational or irrational number?
Answers
Answer:
rational number
Step-by-step explanation:
True or false: Sequences of rigid motions can be applied to any type of polygon.
Answers
Answer:true
Step-by-step explanation:
A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
Answers
Answer: the representative sample contained more adults than children
Step-by-step explanation:
The options are:
a. The representative sample contained all 200 tourists.
b. The representative sample contained more adults than children.
c. The representative sample contained more children than adults.
d. The representative sample contained an equal number of adults and children.
Number of adults = 150
Number of children = 50
Total = 150 + 50 = 200
Probability of choosing an adult = 150/200 = 0.75
Probability of choosing a child = 50/200 = 0.25
The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.
Answer:
A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
the representative sample contained more adults than children
Step-by-step explanation:
The options are:
a. The representative sample contained all 200 tourists.
b. The representative sample contained more adults than children.
c. The representative sample contained more children than adults.
d. The representative sample contained an equal number of adults and children.
Number of adults = 150
Number of children = 50
Total = 150 + 50 = 200
Probability of choosing an adult = 150/200 = 0.75
Probability of choosing a child = 50/200 = 0.25
The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.
please help asap!
i will give brainliest :)
Answers
3. 432 is divisible by (1 point)
O only 2.
O only 3.
O2 and 3.
Answers
Answer:
Only two and Three!
Step-by-step explanation:
423 is divisible by the prime number two!
423 divided by 2 is 216
432 is also divisible by three!!
432 divided by three is 141
The number 432 is divisible by 2 and 3 both as its unit digit is even and the sum of the digits is 9.
What is the divisibility rule?By the divisibility rule, we can determine whether numbers are divisible by some other numbers or not without dividing.
We know a number is divisible by 2 if its unit digit is even and a number is divisible by 3 if the sum of the digits is divisible by 3.
Given number is 432 unit digits even, therefore, it is divisible by 2,
and the sum of the digits is 9 so it is also divisible by 3.
learn more about divisibility rules here :
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If 15% of x equals 20% of y, what percentage of x is y?
Answers
Answer:
Step-by-step explanation:15 % of x = 20%of y , 15 x =20 y , x÷y =20 ÷15 , let x =15 and y = 20 , y has 3÷4 amount of x ,
HELP PLS 1. Al survey of 3,000 who bought a new car showed that 900 people had
mechanical issues within the first 2 year.
What is the relative frequency of the people that had mechanical issues?
Answers
Answer:
3/10 or 30%
Step-by-step explanation:
900/3000 = 9/30 = 3/10 or 30%
Use the Properties of Equality to solve each equation
A - 6 = 19
A. 25
B.13
C.-13
D. -25
Answers
+6 +6
a= 25
the answer is A. 25
Answer:
A-6 =19
A= 19+6
A= 25
I’m in 10th grade taking math for college readiness way behind on edge I’m paying 100 bucks on Apple Pay, PayPal ,or cash app to whoever can catch me up this week my email is kanemagdalene at g mail .com someone help please
Answers
Answer:
Uhh im sorry but this is a website for questions not donations
Step-by-step explanation:
im very sorry if that sounded rude but its kinda true ;/
Brian and Colin are marking exam papers. Each set takes Brian 40 minutes and Colin 1 hour. Express the times Brian and Colin take as a ratio.
Give your answer in its simplest form.
Answers
Answer:
2:3 in the simplest form
Step-by-step explanation:
40/60
2/3=2:3
2:3 in simplest form
Explanation: 40/60 in simplified form is 2:3
7 – d > 10 SHOW ALL WORK
Answers
Answer:
d < -3
Step-by-step explanation:
7 - d > 10
(-7) (-7)
-d > 3
(dived both sides by -1, when dividing or multiplying both sides by a negative number the inequality sign changes)
d < -3
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points) Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points) Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
Answers
Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional
line AB segment on triangle PAB corresponds to line segment QR.
Part C: <Aangle on triangle PAB corresponds to angle Q
Answer: Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional
line AB segment on triangle PAB corresponds to line segment QR.
Part C: <Aangle on triangle PAB corresponds to angle Q
Step-by-step explanation:
I neeedddd help. I am not understanding. Can someone help?/ explain this?
Answers
Answer:
F= 4 4/6
Step-by-step explanation:
Lets break it down
3 1/6 + f - 7 5/6
3 plus what equals 7 answer 4!
1/6 pls how many more sixths equals 5/6th answer 4/6 ths
so overall you combine the two answers for whole and fraction an
formulae for perimeter of a rhombus
Answers
Answer:
perimeter= 4a
a= sides
Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bracelet can hold 85 beads, how many bracelets can she make
Answers
Answer:
39
Step-by-step explanation:
1190 + 2125 = 3315 (number of beads)
3315/85 = 36 (number of bracelets jasmine can make)