write the equation of a line perpendicular to y=3x-2 through the point (-5,8).
Answers
Answer:
y=-1/3x +29/3
Step-by-step explanation
We know that the line perpendicular to a slope of 3 is it's opposite reciprocal. So the slope is -1/3. Substitute -5 as X and 8 as Y so you get:
8= -5/3x +b.
B= 29/3
That's your answer.
Related Questions
Cards labeled 5, 6, 7, 8, and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find the probability of drawing a number less then 7 and then 8 or greater second.
Answers
Answer:
1/10
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Find the value of the expression: h x 2 for h = 4
Answers
Answer: 8
Step-by-step explanation:
h = 4 so,
the expression will be
4 x 2
= 8
The following factor chain can be multiplied together to find the LCM of two numbers: 2 x 2 x 2 x 3 x 5 x 5. If the GCF is 30, give an example of what the two numbers can be.
Answers
Answer:
the 2 numbers could be 10 and 3
Step-by-step explanation:
Riley's retirement party will cost $6 if she invites 3 guests. What is the maximum number of guests there can be if Riley can afford to spend a total of $18 on her retirement party? Solve using unit rates.
guests:
Answers
Answer:
Step-by-step explanation:
Divide 6$ by 3 people so its 2$ a person then divide 18 by 2 and it is 9 so 9 people
i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)
Answers
Answer:
Step-by-step explanation:let x be the number of bicycles,
let y be the number of tricycles
given x+y=20→equation 1
also given 2x+3y=44→equation 2
from eq 1, y=20-x
substitudin ineq 2
2x+3(20-x)=44
2x+60-3x=44
60-x=44
-x=44-60
=-16
x=+16
then y=20-16=4
no of bicycles=16
no of tricycles=4
hope this helps
plzz mark me brainliest
ASAP PLS I NEED IT AND TY
Answers
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
(1/6) to the 2nd power
Answers
Answer:
0.0277777778
Step-by-step explanation:
\(\frac{1}{6} ^{2}\)
\(\frac{1}{6}\) × \(\frac{1}{6}\) = 0.0277777778
The answer is 0.02777777777
The sevens just keep going
Just put a line right beside the last 7 so show it's infinte
solve this quadratic equation 5x^2+3x+4=25
Answers
Answer:
the answer is about 1.2
Step-by-step explanation:
Please help i'm so stuck!
This figure represents an arrow painted on a walkway 12 times.
What is the area of the walkway that is painted with the 12 arrows?
70 cm²
90 cm²
840 cm²
1080 cm²
Answers
(07.06) Which of the following graphs shows all the possible values for a number that is more than 8?
Number line with closed circle on 8 and shading to the left.
Number line with closed circle on 8 and shading to the right.
Number line with open circle on 8 and shading to the left.
Number line with open circle on 8 and shading to the right.
Please get to me soon!!!
Answers
Answer:i think C or E!
Step-by-step explanation:
Answer:
Its either C or E, I'm not sure
2. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x
Answers
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± \(\sqrt{4}\) = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
A certain whale can eat up to 2,400 pounds of food in a day. Which of the following best represents an estimate of the pounds the whale can eat in a day?
A. 2 x 10³
B. 3 x 10²
C. 2 x 10⁴
D. 3 x 10³
Daily Question For Fun!!!
Answers
Answer:C
Step-by-step explanation:
-What is the y-intercept of the line of best fit?
-What is the slope of the line of best fit for this scatter plot?
-What is the equation of the line of best fit?
Answers
Answer:
y-intercept : 8
slope: -1/2
equation: \(y = -\dfrac{1}{2}x + 8\)
Step-by-step explanation:
The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)
Slope of the line can be found by the formula (y2-y1) / (x2-x1) where 9x1, y1) and (x2, y2) are two points on the line
Let's take the points (0, 8) and (10, 3) the two extreme points on the line
Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2
Equation of a line in slope intercept form is
y = mx + c
where m is the slope
b is the y intercept
The equation of the line is therefore
\(y = -\dfrac{1}{2}x + 8\)
Answer:
Y-intercept = 8
Slope = -1/2t
Equation = y =-1/2x+8
Step-by-step explanation:
When x = 0, y = y-intercept.
Therefore, the y-intercept is 8.
We can find the slope using the formula y2-y1 / x2-x1 = m.
Let's use the points (0,8) and (4,6)
6-8 / 4-0 = m;
m = - 1/2.
Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:
y = -1/2x+8.
Please help! I will give brainliest!
Answers
Answer:
A
Step-by-step explanation:
trust me brother
subtracting a negative number is the same as adding the number
Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?
Please give me a right answer I will give 100 pt and brainliest
Answers
Answer:
m = 111.5
j = 35.5
I really hope this is right ;(
Step-by-step explanation:
m = 3j + 5
j + 3j + 5 = 147
4j + 5 = 147
4j = 142
142 ÷ 4 = 35.5
So j = 35.5
3(35.5) + 5 = 111.5
PLS answer i have 9 minutes!
Answers
They are linear pair of angles.
So,
107° + x = 180°
=> x = 180° - 107°
=> x = 73°
Answer:
x = 73°
Step-by-step explanation:
angle = straight angle
straight angle = 180°
180° - 107° = 73°
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
This sign shows the prices of admission to the school fair.
The Thomson's bought 7 tickets and spent $23.
They bought at least one of each type of ticket.
How many tickets of each type did they buy?
Answers
Answer:
where is the image i need more context in order to solve this ty
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 of course
bcs it is written they bought 7 tickets, atleast one of each.
your answer is in your question.
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
I need some help on this math question:
Answers
Two trials are conducted for an experiment. In Trial A, the measured value is 240, while the actual value is 200. In Trial B, the measured value is 195, while the actual value is 240. An assistant says that Trial B has the greater percent error. Is the assistant correct? Explain.
Answers
Answer:
A is the answer 456% and 512%
Step-by-step explanation:
2+2x7+(89 x0)+90+50-12 - 20=
Answers
Answer:
124
Step-by-step explanation:
= 2+2*7+(89*0)+90+50-12-20
= 2+2*7+(0)+90+50-12-20
= 2+2*7+0+90+50-12-20
= 2+14+0+90+50-12-20
= 16+0+90+50-12-20
= 16+90+50-12-20
= 106+50-12-20
= 156-12-20
= 144-20
= 124
GIVING BRAINLIEST
(question is in the image)
Answers
Answer:
D. 2,574 cubes
Step-by-step explanation:
L = 2.25
W = 3.25
H = 5.5
This makes the volume (L x W x H) = 40.21875
Now for the 1/4 cubes, each of those has a volume of 0.015625
Now we divide the volume of the box by the volume of the cubes to see how many cubes can fit
40.21875 / 0.015625 = 2,574
HELP PLEASE I REALLY NEED HELP
Answers
First step is take it out of fractions and into decimals, they are easier to work with.
(0.5x1.125)x(2.66x3.33)x7.5
Then PEMDAS
Parentheses
0.625x-0.66x7.5
Then multiply
-0.41625x7.5
Answer
-3.121875
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would
be its population in 2005.
Answers
Answer:
The population in 2005 is 59,535 people.
Step-by-step explanation:
Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.
There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).
So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.
The population in 2005 is 59,535 people.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
HELP
Match the following equation to the correct situation.
$6.50(c + 18) = $6.50c + $117.00
A. The amount of zoo admission for $6.50 more than c and $117.00.
B. The cost of a birthday package at the theater with a base cost of $117.00 plus $6.50 per child.
C. The amount for movie tickets for c adults when the cost is $6.50 more than $117.00 each.
D. The cost of attending a concert for c groups of people for $6.50 each.
Answers
Answer:
B
Step-by-step explanation:
You pay $117 no matter how many kids show up and then you pay an additional fee of 6.50 per kid.
1 kid
y = 6.50(1) + 117
y = 123.50
If 10 kids come
y = 6.50(10) + 117
y = 65 + 117
y = 182
You can use this equation to help you figure out how much it will cost you depending on how many kids you invite.
I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could do that it would be much appreciated! I'll also give u a brainly <3
Question: What is the value of r.
Answers
r=1.17
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation: