What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4
Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
To learn more about the equation of line visit:
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What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
AStep-by-step explanation:
a parallelogram that is not a rectangle
Hope this helpsAnswer:
A
Step-by-step explanation:
I did it on the quiz
If you flip three fair coins what is the probability you’ll get at least two heads?
Answer:
see below
Step-by-step explanation:
The possible outcomes of flipping 3 coins are:
HHH, HHT, HTT, TTT, HTH, THT, TTH, THH.
Out of these 8 there are 4 that will be successful so the probability is 4/8 = 1/2 or 50%.
50%
Answer and Explanation:
If you flip three fair coins, the probability that you'll get at least two heads is 4/8 or 0.50, which is 50%.
plz mark brainliest
Is this false, if it is why is it false or true?!
Answer:
Yes, this is false.
Step-by-step explanation:
[tex]\frac{2}{4}[/tex] is really 0.5
[tex]\frac{8}{20}[/tex] is really 0.4
So, it is not equal. If you need me to explain more. I will. :)
Answer:
False. [tex]\frac{8}{20} = \frac{2}{5}[/tex]
Step-by-step explanation:
When you divided [tex]\frac{8}{20}[/tex] by GCF your answer comes out as [tex]\frac{2}{5}[/tex].
I.e.) The GCF is (4)
[tex]\frac{8}{20}[/tex] ÷ [tex]\frac{4}{4}[/tex]=[tex]\frac{2}{5}[/tex]
1) Factor x2 +7x+ 10.
The answer is (x+2)(x+5)
The middle number is 7 and the last number is 10.
What numbers when multiplied get 10 AND when added together get 7?
I hope this helped :)
Help me on this last one
Answer:
The answer is A. [tex]g(x)=4x^2[/tex]
3. Sophia had 1/4 of her birthday cake leftover. She split that cake
between her and her best friend. How much of the cake did they each
get?
Answer:
1/8 of the original cake.
1/8 = 0.125
Step-by-step explanation:
The easiest way to do this is with decimals.
1/4 = 0.25
Each of the girls gets 0.25/2 = 0.125
Each girl gets 1/8 of the cake or 0.125 of the cake.
Can someone please help!!
What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410
Answer:
SA =64 pi units ^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 4^2
SA =64 pi
SA =200.96
HELP ASAP!!!! There is a clip below.
Answer:
0.064 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is the width multiplied by the height multiplied by the length. In this case, all of those dimensions are 2/5, meaning that the volume is:
[tex]\dfrac{2}{5}\times\dfrac{2}{5}\times\dfrac{2}{5}=\dfrac{8}{125}=0.064[/tex]
Hope this helps!
help me solve this please! thanks
Answer:
732421875
Step-by-step explanation:
Since the given number is divisible by 3 and multiple of 5, it must end with 5 and sum of its digits divisible by 3
Only option 3 satisfies the condition described above:
732421875- ends with 5 and sum of digits= 39 divisible by 3Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = XY?
Answer:
well considering it is length it could be anything i think
if XZ= 45
then XY could also be 45
and then YZ would be 17
what is the solution to -122 < -3(-2-8x) -8x
Answer:
x>-8
Step-by-step explanation:
-122<-3(-2-8x)-8x
-122<6+24x-8x
-128<16x
x>-8
question 3 <><><><><><><><><><><>
Answer: C. none of the above
Step-by-step explanation:
Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)
(6)^2 and (-6)^2 both give you 36.
And, 6)^3 and (-6)^3 both give you 216.
But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.
Which best describes how to solve the equation below ?
Answer:
C. Divide both sides by 26
Step-by-step explanation:
A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Answer:
1. D
2. A
Step-by-step explanation:
Brainliest please?
Help I need help on this it can be more than one
Answer:
same it is pretty blury unblur it
Step-by-step explanation:
Solve |x|=5
A{-5}
B{5}
C{-5,5}
Answer:
[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]
C is your answer
Step-by-step explanation:
[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
6. Jim received a total piecework paycheck of $291.81. He receives 71 cents per unit produced.
How many units did he produce?
Answer:
411
Step-by-step explanation:
Take the total amount earned and divide by the price per piece to determine the number of pieces made
291.81/ .71 =411
He made 411 pieces
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.
Answer:
3.45
Step-by-step explanation:
If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.
So, divide 38 by 11.
38/11 = 3.454545
Round to nearest hundredth: 3.45
Answer:
3.45 pages per minute
Step-by-step explanation:
Take the number of pages and divide by the number of minutes
38 pages/11 minutes
3.45454545 pages/minute
To the nearest hundredth
3.45 pages per minute
25 POINTS!!!!Which of the following statements are true? Select all that apply.
The product of B and D is negative.
The quotient of A and C is positive.
= A ∙
The quotient of 0 and F is undefined.
A ∙ D = -E ∙ D
Answer:
then 0 and f have to be positive.
Step-by-step explanation:
Mark me brainlest.
Answer:
Its A and C and F
Step-by-step explanation:
The volume of a cylinder is 576x cubic inches. The radius of the circular base is 4 inches. What is the height of the
cylinder?
Recall the formula V - xrn.
18 inches
24 inches
36 inches
72 inches
Simplify -3+i/7 + i
First, multiply both the numerator and
denominator by___.
A. -3 + i
B. -3 - i
C. 7 + i
D. 7 - 1
Answer:
D. 7 - i
Step-by-step explanation:
(-3+i)/(7 + i)=
(-3+i)(7-i)/(7+i)(7-i)=
(-21+10i+1)/50=
(10i-20)/50=
0.2i-0.4
The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Please help me, extra points !!
does anyone understand and can help me asap?
Answer:
see below
Step-by-step explanation:
Circumference of circle = 2πr =dπ
Area of circle =πr²
1) Circle1 d =4 in, r =2 in
Circumference of circle1 =4π in
Area of circle1 = 2²π =4π in²
2) Circle2: d =3 in, r =1.5 in
Circumference of circle2 =3π in
Area of circle2 = 1.5²π =2.25π in²
3) Circle3: r =1 in, d =2 in
Circumference of circle3 =2π in
Area of circle3 = 1²π =π in²
4) Circle4: r =2 1/2 in = 2.5 in, d =5 in
Circumference of circle4 =5π in
Area of circle4 = 2.5²π = 6.25π in²
5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²
6) 1/2 of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²
7) 1/4 of the Area of circle3 = (1/4)π in²
8) 1/3 of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²
HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]
Your teacher tells you that the hour hand on an analog clock will rotate 45° while you write a math quiz. If the quiz starts at 9:00, what time does it end? What is the angle between the starting and ending positions of the minute hand?
Answer:
1. 10:00 2. 360 degrees
Step-by-step explanation:
1. The hour hand rotated to move app. 1 hour.
2. A full circle all the a way around the clock would equal 360 degrees
Answer:
Ends at 9:45
That is a right angle.
Step-by-step explanation: