12) Given A(9, 2), B(-1, y)
C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD
Answers
Answer:
y=8
Step-by-step explanation:
(y-2)/(-1-9)=(y-2)/-10 (11-16)/(-8-(-5))=-5/-3=5/3 Perpendicular slope is -3/5
(y-2)/10=-3/5 cross multiply 5(y-2)=3(10) 5y-10=30 add 10 to both sides
5y=40 divide both sides by 5 and y is equal to 8.
The value of y is 8 if AB is perpendicular CD after using the slope formula.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),
AB is the perpendicular CD
Using the slope formula to find the slope between A and B:
(y-2)/(-1-9)
= (y-2)/-10
(11-16)/(-8-(-5)) =
-5/(-3)
= 5/3
The perpendicular slope is -3/5
(y-2)/10=-3/5
5(y-2)=3(10)
5y-10=30
5y=40
y = 8
Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.
Learn more about the slope here:
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Related Questions
Which table was created using the equation y = 4x +4?
Answers
Answer:
x -2, -1, 0 1 2
y-4 0 4 8 12
Step-by-step explanation:
i think...
Answer:
X Y
1 8
2 12
3 16
4 20
5 24
Step-by-step explanation:
I'm not seeing a table so I assume you need to creat one
4j+2=h solve for j please help
Answers
Answer:
j = [tex]\frac{h-2}{4}[/tex]
Step-by-step explanation:
Given
4j + 2 = h ( subtract 2 from both sides )
4j = h - 2 ( isolate j by dividing both sides by 4 )
j = [tex]\frac{h-2}{4}[/tex]
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answers
Answer:
2/3 of the price
Step-by-step explanation:
i am too unmotivated to do any math even if its easy please help :)
Answers
Answer:
40% increase
Step-by-step explanation:
First, find the difference:
161-115=46
Then divide by the past price to get the percent increase:
46/115=.4=40%
Factor 8x^{4}-46x^{2}+45
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST
Answers
Answer:
(4x^2-5) x (2x^2-9)
Step-by-step explanation:
01.) Write -46x^2 as a difference
8x^4-10x^2-36x^2+45
02.) Factor out 2x^2 from the expression
8x^4-10x^2 -36x^2+45
2x^2 * (4x^2-5) - 36x^2+45
03.) Factor out -9 from the expression
2x^2 * (4x^2-5) - 9(4x^2-5)
2x^2 *(4x^2-5)-9(4x^2-5)
04. Factor out 4x^2-5 from the expression
(4x^2-5) *(2x^2-9)
HELP HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
If Stanley swam for t hours yesterday, what was his running time?
Answers
Answer:
9
Step-by-step explanation:
9 (t3+0.5)
his running time is 9
Answer:
1.5 Hrs
Step-by-step explanation:
SWIM: Time: T Rate: 2.5mph Distance: 2.5T
RUN: Time: T+0.5 Rate: 9mph Distance: 9T+4.5
BIKE: Time: 2T+1 Rate: 16mph Distance: 32T+16
2.5T+9T+4.5+32T+16 = 64
43.5T+20.5=64
43.5T=43.5
T=1
RUN: T+0.5= 1+0.5=1.5
A line passes through the HELP ME PLEASE
point (4, -6) and has a slope of -3/4. Which is the equation of the line?
O y=-x-3
O y=-x-6
O y=-3x-
3
4
3
O y=-6x-
Answers
Answer:
i hope this helps
Step-by-step explanation:
ggbsus dvrjsjagaubs don't mind this
A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before sales tax?
i need this now please
Answers
Answer:
19.20Step-by-step explanation:
$24.00 x 20% =
$4.80
$24.00 - 4.80 =
19.20
The sale price of a shirt after discount is $19.2.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a shirt is marked down 20% off the original price.
The original price was $24.00
Sale price = 24-20% of 24
= 24-0.2×24
= 24-4.8
= $19.2
Therefore, the sale price of a shirt after discount is $19.2.
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Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answers
Answer:
Step-by-step explanation:i need points sorry
Plzs help me I give u brain list
Answers
Answer: am sorry but,
Step-by-step explanation: I can't see the picture...
Answer:
b (i think)
Step-by-step explanation:
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee
What is the m< BAD? ( If you are confused look at the picture provided)
Answers
Answer:
The measurement of angle BAD would be 120°.
How To Do It:
You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.
Set Expressions Equal To Each Other To Find The Value Of X:
(13x-31)=(x+53)----------add 31 to each side
13x=(x+84)----------subtract x from both sides
12x=84----------divide both sides by 12
x=7
Plug-In The Value Of X To Each Expression & Add:
(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient
(91-31)+(7+53)----------add/subtract numbers inside the parentheses
(60)+(60)----------add the final products together
120----------*Final Answer*
Give an example of a real number that is not rational.
Answers
Answer:
A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORROW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answers
Answer:
1). Length of diagonals = 52
2). m∠KON = 103°, m∠KMN = 45°
Step-by-step explanation:
KLMN is a rectangle.
Diagonals KM and LN intersect at point O.
1). Since, diagonals of the rectangle equally bisect each other.
KM = 2(KO)
KM = 2(4y + 6)
And LN = 2(ON)
LN = 2(3y + 11)
Since, length of diagonals of a rectangle are equal in measure.
2(4y + 6) = 2(3y + 11)
4y + 6 = 3y + 11
4y - 3y = 11 - 6
y = 5
Therefore, length of diagonals = 2(3y + 11)
= 2(15 + 11)
= 52 units
2). m∠NKM = 32°
Since, m∠KNM = 90° [internal angle of a rectangle]
And diagonal LN bisects this angle,
m∠KNO = 45°
In ΔKNO,
m(∠NKM) + m(∠KNO) + m(KON) = 180°
32° + 45° + m∠KON = 180°
m∠KON = 180° - 77°
= 103°
Since, m∠KMN = [tex]\frac{1}{2}[/tex](m∠LMN)
m∠KMN = [tex]\frac{1}{2}(90)[/tex] = 45°
Answer:
Did u submit ur answer?
Step-by-step explanation:
Is 2x + y = 10 linear ?
Answers
Answer:
This is a linear equation in slope-intercept form.
7+7 please help me i need help quick right away
Answers
Answer:
very funny and 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
7 plus 7? how old are you?
11x - 8 = 4x - 3
solve for x
Answers
Answer:
7×=5 ×=5/7
Step-by-step explanation:
John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?
Answers
Answer:
Step-by-step explanation:
72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4
Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.
What is the value of h(3)?
Answers
Answer:
1
Step-by-step explanation:
The value of h(3) basically means what y-value does the function h have when x=3 ?
Looking at the graph, when x is 3, the y value is 1.
h(3)=1
Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line. Solving lenear equations
Answers
Answer:
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
➡️
Step-by-step explanation:
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
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Two angles are supplementary. One angle measures 26° Find the measure of the other angle.
Answers
The other angle is 154 degrees
A submarine is situated 400 feet below sea level. If it drops another 250 feet below sea level, what is the new position?
Answers
Answer:
-650ft
Step-by-step explanation:
I took a test with a question like that
-1/2 x+1 = -x+8
choices:
7
1/2
14
18
Answers
Answer:
14
Step-by-step explanation:
can you please mark this brainliest if it helped? <3
Answer:
x =14
Step-by-step explanation:
-1/2 x+1 = -x+8
Add x to each side
-1/2 x +x+1 = -x+x+8
1/2x +1 = 8
Subtract 1 from each side
1/2x +1-1- =8-1
1/2x = 7
Multiply each side by 2
1/2x *2 =7*2
x =14
Sarah is planning to download music and has purchased a monthly package for $12.00 plus $0.60 for each song that she downloads. If Sarah’s bill this month totaled $39.00 how many songs did she download?
Answers
Answer:
Sarah downloaded 65 songs.
!!PLEASE HELP QUICK!!Chauncy is paid $10 per hour. He works 2 hours a day for 5 days each week. How much money is Chauncy paid for his work each week? Which sentence can be used to answer the word problem?
A Chauncy is paid $___
B Chauncy works ___
C Chauncy works ___
D Chauncy is paid $___
Answers
Answer:
he make $100 a week
D Chauncy is paid $100 for his work each week
Answer:
Chauncy is paid $100 for his work each week
Step-by-step explanation:
Simplify the expression. (6x+1/2)+(3x-3 1/2)
Answers
Answer:
Have a Spoopy Halloween lol its 9x-3
Step-by-step explanation:
(6x+1/2)+(3x-3 1/2)
= 6x+3x-3 1/2+1/2
= 9x-3
Answer:
[tex]9x - \frac{6}{2} [/tex]
Step-by-step explanation:
[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]
♨Rage♨
(4x5)3
Using the exponential notion and simplify pls
Answers
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in early April, she left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house. At noon a call came in from the Derby saying she was in! Her father immediately jumped on his scooter and rides at a breezy 15 miles per hour to try and track her down and tell her the good news. On what scale would you measure the number of minutes the father must ride his scooter before catching up to his daughter? A. Hundreds B. Thousands C. Ten thousands D. Tens
Answers
The answer fam is............ A. Hundreds
The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
What is the rate?It is defined as the change in values of a dependent variable with respect to the independent variables.
We have:
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.
She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house
The rate = 10 miles/hour
Father's scooter rate = 15 miles/hour
Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.
Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
Learn more about the rate here:
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A line passes through the point (8, -7) and has a slope of -3/4
Write an equation in slope-intercept form for this line
Answers
Answer:
y = -3/4x -7
Step-by-step explanation:
hope this helps!
Need help ASAP!!!!!!!
Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12
Pls answer ASAP
Answers
Answer: 5 and 12
Step-by-step explanation:
i did the quiz
√27
A. 3√3
B. 6√7
Which one?
Answers
Answer:
√27 = A. 3√3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
3 √ 3