Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).
Answer:
The equation is [tex]y-(-8) = 4(x-2)[/tex].
Step-by-step explanation:
The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:
[tex]y-(-8) = 4(x-2)[/tex]
(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)
Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.
What is the mean and standard deviation of X?
Mean =
Standard deviation =
Answer:
Mean = 20
Standard deviation = 19.494
Step-by-step explanation:
I got it right.
What is the length of a side a? Round to the nearest tenth of an inch.
Answer:
Step-by-step explanation:
a = 16 inches
NEAREST TENTH: 20
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation
Answer:
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Step-by-step explanation:
The systems of equations are
Let us assume the rate of the current be c
Now actual speed against the current is (15 - c)
And, the actual speed with the current is (15 + c)
Here we applied the time formula i.e. distance by speed
Also the upstream time - downstream time = 4
Now the equations are
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
Help will give b if correct
Answer:
0.28
Step-by-step explanation:
28 divided by 100=0.28
Answer:0.28m
Step-by-step explanation:
you start at 7,2 then move 5 units left and 6 units up
Answer:
Im pretty sure its (2,8).
Step-by-step explanation:
What is the diameter of the Orange below ? HINT : D = 2r
Answer:
umm don't know.....
Step-by-step explanation:
......
Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct
Answer:
Jehle is correct.
Step-by-step explanation:
Given - Jehle and Liam a both solving 0.5÷200.
Jehle says the quotient will be Less than 0.5.
Liam says the quotient would be more than 0.5
To find - Which student is correct ?
Proof -
Given expression is 0.5 ÷ 200
It is equivalent to
[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5
∴ we get
The expression is Less than 0.5
So, Jehle is correct.
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
https://brainly.com/question/19594654
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour
D. The typical ostrich runs at a speed of about 36 miles per hour.
Answer:
D;the tropical ostrich runs at a speed of about 36 miles per hour
Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.
Step-by-step explanation:
I took the quiz on A p e x^^
Question 1 of 10
sin = 20/29
find tan 0
Step-by-step explanation:
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
Cutt/ly.627929
factorise fully :
4(x - y)^2 - 9(x + y)^2
Answer:
- ( 5x + y ) ( x + 5y )
or
-5x^2 - 5y^2 - 26xy
Answer:
Step-by-step explanation:
4(x^2-2xy+y^2)-9(x^2+2xy+y^2)
4x^2-8xy+4y^2-9x^2-18xy-9y^2
-5x^2-26xy-5y^2
-5x^2-xy-25xy-5y^2
-x(5x+y)-5y(5x+y)
(-x-5y)(5x+y) or you can also remove the negative one to get
-(x+5y)(5x+y)
Nikea went running three days in a row. She ran 3 1/2 miles on Monday. She ran the same distance on Tuesday as she did on Wednesday. She ran a total of 7 1/4 miles on all three days. Which of these equations can be used to find the numbers of miles, x, that Nikea ran on Tuesday and Wednesday? Select all that apply.
A. 2x=7 1/4−3 1/2
B. 2x +3 1/2 = 7 1/4
C. 3 1/2 + x + x = 7 1/4
D. 3 1/2 + x = 7 1/4
E. 7 1/4 + 3 1/2 =2x
Answer; A B and C are the correct answers also please do not follow the other links answer
Step-by-step explanation:
13 (a) Write 2016 as the product of prime factors.
Answer: 2^5*3^2*7*1
Step-by-step explanation:
please hurry if answer is correct i will give brainlyyyyest thx
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Answer:
i could only get part one done
Step-by-step explanation:
Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal.
Answer:
1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.
Step-by-step explanation:
add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.
help me pls AAAAAAAA
Answer:
10/3 liters
Step-by-step explanation:
Divide (4/3) by 2, then multiply by 5
Answer:
10/3 liters
Step-by-step explanation:
Your welcome, hope this helps you
A square has a perimeter of 76 cm. Each side measures x + 3.
What is the value of x, in centimeters?
The value of given x is 16
Given that:
Perimeter of square = 76 cm
Side of square = (x + 3)
Find:
The value of x
Computation:
Perimeter of square = 4[Side]
76 = 4[x + 3]
76 = 4x + 12
4x = 76 - 12
4x = 64
x = 64 / 4
x = 16
The value of x = 16
Learn more:
https://brainly.com/question/5602071?referrer=searchResults
besties besties please help im desparate
What in the flipping Jeapordy is this, but anyway:
1) Simran needs a 65% to score an 80 test average
2) The length is 13 centimeters
3) Jake purchased 4 gadgets
4) 100 candles would need to be sold
5) You bought 3 drinks
Answer:
Step-by-step explanation:
miss girl you need homework plugs sorry queen have a good day
If your credit card is stolen and the thief runs up a total debt of $1,000, but you notify the issuer of the card as soon as you discover it is missing, what is the maximum amount that you must pay according to Federal law?
Answer:
50 dollars
Step-by-step explanation:
college website
Solve these simultaneous equations:
2x + 4y = 38
7x - 4y =7
Answer:
Step-by-step explanation:
Answer:
x=5, y=7
Step-by-step explanation:
2x+4y= 38
+7x-4y= 7
9x= 45
9x/9= 45/9
x=5
2x+4y=38
2(5)+4y= 38
10+4y= 38
-10 -10
4y= 28
4y/4= 28/4
y=7
Carlos is helping his grandfather paint the patio in their backyard. What is the area of the patio?
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
A window shaped like a parallelogram has an area of 73 2 3 square feet. The height of the window is 8 2 3 feet. How long is the base of the window?
Answer:
8 1/2 feet
Step-by-step explanation:
Here is the complete question
A window shaped like a parallelogram has an area of 73 2/3 square feet. The height of the window is 8 2/3 feet. How long is the base of the window?
A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length
Area = base x height
73 2/3 = 8 2/3 x base
divide 73 2/3 by 8 2/3
221/3 x 3/26 = 8 1/2 feet
In ΔMNO, the measure of ∠O=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ∠M to the nearest tenth of a degree.
Answer:26.6
Step-by-step explanation:
delta math right ?
Geomotry 10th grade easy 25 points
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
What is the value of x?
Answer:
I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.
Answer:
x = 8
Step-by-step explanation:
Remark
I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).
The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.
Put simpler
Equation
(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)
Combine like terms
Solution
(x + 2)(3x - 6) = (x + 1)(3x - 4) Remove the brackets on both sides.
3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4 Combine the like terms
3x^2 - 12 = 3x^2 - x - 4 Subtract 3x^2 from both sides
- 12 = - x - 4 Add 4 to both sides
-12 +4 = - x
- 8 = - x Multiply both sides by -1
x = 8
6ya +7y{a
Find the sum
O 13y^2
O O 13ay
O 13y/2a
0 13ya