The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).
We need to find the equation of the line that passes through P.
What is the condition of slope for perpendicular lines?The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.
Here, the slope of the equation is 3.
The equation of the line that passes through P and is perpendicular to PQ is -1/3.
Now, 10=-1/3(6)+c
⇒c=12
Thus, y=-1/3x+12
Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
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3(x - 7) = 2(x - 12)
explain how u got it too
Answer:
x = -3
Step-by-step explanation:
3x - 21 = 2x - 24
3x = 2x - 3
x = -3
Answer:
x = 45
Step-by-step explanation:
First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.
3(x - 7) = 2(x - 12)
3x - 21 = 2x - 24
From here, we solve for x.
3x - 21 = 2x - 24
x - 21 = 24 (Subtract 2x from both sides)
x = 45 (Add 21 to both sides)
I need help with this question it's for a important grade and if anyone can help that will be great.
Step-by-step explanation:
33+13+90=136+?=180
136-180=44
X=44
(2/3) to the 3rd power] plus [(3/4) to the zero power]
Answer:
1-8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)
[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]
We cannot simplify, so 1-8/27 is our answer.
Hope this helps. Have a nice day.
In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?
Answer:
D. 70°Step-by-step explanation:
∠BEC is supplementary with ∠BEA
Find the measure of ∠BEA
m∠BEA = 1/2(mCD + mAB)m∠BEA = 1/2(120° + 100°) = 110°Supplementary angles sum to 180°
m∠BEC + m∠BEA = 180°m∠BEC = 180° - 110° = 70°Correct choice is D
Is -6.743743… a rational or irrational number?
Your answer:
Rational because .743 repeats
Rational because the 6 is negative
Irrational because the number never ends
Irrational because the 6 is negative
It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
x = -6.743743…,
then
1000x = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for x exactly:
1000x - x = -6,743.743743… - (-6.743743…)
999x = -6,737
x = -6,737/999
Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4
Answer:
#3
Step-by-step explanation:
The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.
A taco charges $2.50 plus a fee of $0.05 for each mile traveled. If the ride costs $7.50, how many miles was the ride?
Answer:
100 miles
Step-by-step explanation:
7.50-2.50=5.00
100x0.05=5.00
Answer:
2.9 miles or 3 miles
Step-by-step explanation:
1. Add 2.50 & 0.05 (dont forget to line up the decimals!)
2. Divide 7.50 & 2.55
3. You then get your final answer. ( round to the nearest tenths-)
A- im sorry if this is wrong T-T
WILL AMRK BRAINLIEST IF GOTEN CORRECT
Answer: if im not mistaken its D
Step-by-step explanation:
If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8
Answer:
15/8
Hope it helps
Please mark me as the brainliest
Thank you
The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP!
Answer:3
Step-by-step explanation : because i division
Help needed for assignment
Pls help me number 8 plsssss
Answer:
y=mx+b
m=2/3, b=-2
your answer is B. y=2/3x-2
Step-by-step explanation:
Hope this helps :)
GIVING BRAINLIEST! What is the slope of the negative graph?
PLEASE HELP ASAP!!!!
Answer:
B - symmetrical
Step-by-step explanation:
Skewed grams and Uniform graphs are waaaay different
Skewed is basically all of it is tyo the left or right
Uniform is everything about the same level
(+3 120-130'+ 24c +8
Answer:
whats your question? its hard to answer a question without info man
Step-by-step explanation:
Name the property illustrated.
(4 + 6) + 9 = 4 + (6 + 9)
A company produces fruity drinks that contain a percentage of real fruit juice. Drink
A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.
Answer:
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
Step-by-step explanation:
Let
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
1. The company used 100.5 liters of real fruit juice, then
2. Drink A:
x = amount of real fruit juice used
percentage of real fruit juice
Then
5x = amount of drink A produced
Drink B:
y = amount of real fruit juice used
percentage of real fruit juice
Then
amount of drink B produced
The company makes 30 more liters of Drink A than liters of Drink B, so
The system of two equations is
HURRY PLEASE I NEED HELP
Step-by-step explanation:
as I guess it's a link question between some others so can you show us whole quetsion of it
A triangle where one angle measures 20° and another angle measures 45°.Help please
Answer: 115 degrees
Step-by-step explanation:
Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180
Write an equation of a line that goes thru the points (-2, 6) & (3, -4)
Answer:
The equation of the line is;
y = -2x + 2
Step-by-step explanation:
Here, we want to write the equation of the line that passes through the given points
The general form of the equation is
y = mx + b
where m is the slope of the line and b is the y-intercept of the line
Mathematically, to get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1,y1) = (-2,6)
(x2,y2) = (3,-4)
m = (-4-6)/(3+2) = -10/5 = -2
So the equation is in the form;
y = -2x + b
To get b, we substitute any of the two points
6 = -2(-2) + b
6 = 4 + b
b = 6-4 = 2
The equation of the line is thus;
y = -2x + 2
Work out the number of years of investment for each return.
a. £3000 invested at 3% simple interest returns £3720
Answer:
41 years approx
Step-by-step explanation:
Given data
P= £3000
R=3%
Simple Interest= £3720
Time=???
We know that from the simple interest expression
SI= PRT/100
substitute
3720= 3000*3*T/100
Make T subject of the formula
T= 3720*100/3000*3
T= 372000/9000
T= 41.33
Hence the number of years is 41 years approx
hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%
Answer:
A because 11 +12 is 23 and A is the closest
$17divided by 20% rounded to the nearest dollar
Answer:
$13.60??????
Step-by-step explanation:
$17 divided by 20% = $85 rounded by the nearest dollar is 90 ??????
I GOT THE POWER IF GOD AND ANIME ON MY SIDE
i dont know for sure if the answer is right sorry
math is not on my side
What is the slope between the points (-1,3) and (2, 5)?
Answer:
2 is the slope
you have to use this: y2-y1
x2-x1
y2= 5 y1= 3
x2= 2 x1= -1
5-3=2
2-1=1
1). There are 25 students in grade 7. 15 are boys and others are girls. A
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|
Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25
Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25
Hiiiiiiiiiiiiiiiiiiii take your best guess
Find the value of x in the angle pair.
Answer:
x=30
Step-by-step explanation:
180-55=125
5x-25=125
125+25=150
5x=150
5/150=30
x=30
* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)
Answer:
A
Step-by-step explanation:
Area of pentagon = Area of parallelogram - area of triangle
= (base * height ) - [tex]\frac{1}{2}*b*h[/tex]
= (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3
Find the pair of numbers that will multiply to give you the bottom number and add to the top number
Answer:
4 and 3
4 and 5
4 and 6
3 and -8
-4 and -21
4 and 36
4 and -7
Step-by-step explanation:
1)
4 + 3 = 7
4 × 3 = 12
2)
4 + 5 = 9
4 × 5 = 20
3)
4 + 6 =10
4 × 6 = 24
4)
3 - 8 = -5
3 × (-8) = -24
5)
-4 - 21 = -25
-4 × (-21) = 84
6)
4 + 36 = 40
4 × 36 = 144
7)
4 - 7 = -3
4 × (-7) = -28
The floor of hexagonal barn has a perimeter 1260
feet. The sides of the barn are of equal length. Find
the total area of the floor.
Answer: 5040
Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040
Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?
Answer:
Ranger station 2 is closer by 3.47 miles
Step-by-step explanation:
tan(46)=O/9.8
O (ranger station 2 to distress call)=10.15 miles
sin(46)=9.8/H
H (ranger station 1 to distress call)=13.62 miles
13.62-10.15=3.47 miles
So, ranger station 2 is closer by 3.47 miles