Answers
Answer:
y= ⅗x +1
Step-by-step explanation:
Given line: y= ⅗x +4
Gradient= ⅗
The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).
In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.
Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.
To find the value of c, substitute a pair of coordinates into the equation.
Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.
When x= -5, y= -2,
-2= ⅗(-5) +c
-2= -3 +c
c= -2 +3
c= 1
Thus, the equation of the line is y= ⅗x +1.
Related Questions
Find the product of (x 5)(x − 5). X2 − 10x 25 x2 10x 25 x2 − 25 x2 25.
Answers
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is obtained as:
[tex](x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25[/tex]
Thus,
The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
Learn more about polynomial product here;
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Mr. McKinney is planning to purchase new carpet for his large family room. The dimensions of the room are shown in the diagram. How much carpet will he need?
Answers
Answer:
204 ft²
Step-by-step explanation:
Let's split the room to make it look like there are two squares.
We can make it to where one square is 14 ft long and 10 ft wide.
The other square can be 16 ft long and 4 ft wide
Find the areas of those two squares by multiplying width and length
14 x 10 = 140
16 x 4 = 64
Add those two together
140 + 64 = 204
Answer:
a
Step-by-step explanation:
Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.
Answers
[tex]65 \div 5 = 87 \div 3 \\ 15 = 29[/tex]
So, False
Answer:
The equation is false
Step-by-step explanation:
65 ÷5 = 13
87 ÷ 3 = 29
13 and 29 are not equal thus making the equation false.
In recent days, Rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. Considering this data, how many times would you expect Rudy to wear a brown shirt in the next 12 days?
Answers
Answer:
6
Step-by-step explanation:
5/10
1/2
then 6 trust me
PLEASE HELP ME TO UNDERSTAND
Answers
Answer:
x > 0Step-by-step explanation:
The denominator is positive for any value of x.
So we solve the numerator:
5ˣ - 1 > 05ˣ > 15ˣ > 5⁰x > 0What are the next two numbers in the pattern
Answers
the pattern is just doubling the previous number
Answer:
64, 128..
Step-by-step explanation:
each number gets doubled to get the next number
Correct answer will have the brainliest answer look at the image pls.
Answers
Answer:
2nd option
Step-by-step explanation:
A=wl=2.75·2.25=6.1875
2 1/4= 2.25
2 3/4= 2.75
If the ratio of homes without children to homes with children is about 8:7 if there is 4125 homes how many are without children
Answers
Answer:
2200
Step-by-step explanation:
8+7=15 4125/15=275 275x8=2200
Need answers for 3 and 4 please.
Answers
The MRA volleyball team decides to raise some extra money for their trip by horganizing a cookie sale. The cost to make the cookies is $45 and the team is charging $0.25 a cookie. How many cookies must be sold to make a profit of at least $100? write an inequality.
Answers
Answer:
Inequality:[tex]0.25x\geq 145[/tex]
Answer: At least 580 cookies
Step-by-step explanation:
Lets say they sell x cookies.
Now, that means they will make 0.25x as their income(the price multiplied by the number of cookies).
We know that totally they need to make 100+45 dollars, because that is what will give them a $100 profit. So they need to make $145
Now just set 0.25x equal to $145.
[tex]0.25x=145[/tex], and now solve
[tex]x=145*4[/tex]
[tex]x=580[/tex]
For an inequality, we could just say that:
[tex]0.25x\geq 145[/tex]
Someone help me with this pls
Answers
Answer:
x° = 55°
Step-by-step explanation:
An exterior angle is equal to the sum of the remote interior angles:
x° = 21° +34°
x° = 55°
Describe the direction in which each object will accelerate. If the object won’t accelerate, write “no acceleration.” Explain what might be happening to each object in terms of its overall motion. (Will give the right answer brainillesit)
Answers
Answer:
The object will have a positive acceleration of 100N and it will travel up.
Step-by-step explanation:
300N - 200N = 100N
Therefore, 300N has greater value making the air balloon travel upwards toward the sky.
15. Your research problem should have a positive impact on the field.
a. Timely c. Novel
b. Significant d. Supported by Literature
16. It is the question that a researcher wants to answer or a problem that wants to be
solved.
a. Researchable c. Novel
b. Timely d. Research Problem
pls help
Answers
Answer:
15: significant 16: research problem
The graph shows the amount of protein contained in a certain brand of peanut butter.
Which statement describes the meaning of the point on the graph?
A
There are 666 grams of protein per tablespoon of peanut butter.
B
There are 303030 grams of protein per tablespoon of peanut butter
C
There are 666 grams of protein in 303030 tablespoons of peanut butter.
D
There are 303030 grams of protein in 666 tablespoons of peanut butter.
Answers
Please give brainiest!
Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates the slope by dividing -1 - 4 with 3 - 5. Spencer divides 4 - (-1) by 5 - 3. When they check their work with their mutual friend Lauren, she says that they are both wrong and shows them her work. She calculates -1 - 4 and divides by 5 - 3. Who is correct among these three friends? Who is incorrect? Why?
You must show all of your work to receive credit.
Answers
A B (2x + 53) 10. The figure shows a trapezium ABCD where AB // DC. Find the value of x and of y. D C x 5x² 2.237 A B 11. The figure shows a kite ABCD where AB = AD. RC - and the diagonals AC and BD intersect
Answers
Answer:
x = 30
y = 114
Step-by-step explanation:
considering DC || AB the sum of angle <D and angle <A must be equal to 180 because they are supplementary:
5x + x = 180 add like terms
6x = 180 divide both sides by 6
x = 30
Same goes for angle <C and angle <B:
y + 2.2x = 180 we know the value of x is 30
y + 2.2*30 = 180
y + 66 = 180 subtract 66 from both sides
y = 114
How do I answer this?
Answers
Answer:
2k³ is the GCF.
Step-by-step explanation:
GCF of [tex]10k^{3} ,6k^{3}[/tex]
Finding the factors:
=10k³[Factoring 10k³]
=2×5×k×k×k
=6k³[Factoring 6k³]
=2×3×k×k×k
Common factors in 10k³ and 6k³.
=2×k³
=2k³
GcF
[tex]\\ \tt\hookrightarrow 2(k)(k)(k)[/tex]
[tex]\\ \tt\hookrightarrow 2k^3[/tex]
Stanley has $18 to spend on packs of trading cards that cost $1.50 each. The inequality 18≥1.5p represents the number of packs p he can buy. What is the greatest number of whole packs Stanley can buy?
Answers
Answer:
Numbers of packs p is 12
Step-by-step explanation:
Data :
Money = $18
Price of a card = $1.5
Equation : 18 ≥ 1.5p
Solve the equation for p
18/1.5 ≥ p
12 ≥ p
A map uses a scale
of 1.5 cm = 25 mi.
If two cities are 150 miles
apart, how far apart will
they be on the map?
225
Answers
Divide: 150/25=6
Multiply: 6*1.5=9
Hope this helped:)
HELPPPPP MEEEEE PLEASEEEE
Answers
Answer:
I don't know sooooooooop
mark me as brainliest ok understood
Red line: Y=-1/3x+2
Blue line: Y=3/2x3
Miss Robbins needs a border for a bulletin board
that has a length of 90 centimeters and a width of
75 centimeters. How many centimeters of border
does she need?
Answers
Answer:
330 cm
Step-by-step explanation:
90 x 2 =180
75 × 2 = 150
180 +150 = 330
Suppose the measure of <4 was 105º. Which
answer choice below represents is the measure of
<1?
A. 180°
B. 105°
C. 75°
D. 15°
Answers
Answer:
C
Step-by-step explanation:
Angle 1 and angle 4 sit on the same straight line which means
<1 + <4 = 180
We are given that <4 = 105 degrees. So the equation above becomes.
<1 + 105 = 180 Subtract 105 from both sides
<1 = 180 - 105
<1 = 75
Plls help
What is DE
Answers
Answer:
DE= 4.24
Step-by-step explanation:
A^2 + B^2 = C^2 Pythagorean theorem
(3)^2 + (3)^2 = C^2
9 + 9 = C^2
18 = C^2
√18 = √C^2
4.24264 = C
Select the three equations that match the model.
Answers
9+?=14
?=14-9
9=14-?
all others do not work
The data set shows the number of people who attended a concert over a period of 10 days.
12, 35, 27, 55, 22, 23, 60, 49, 15, 66
What is the mean of this data set?
Round the answer to the nearest tenth.
29.8
35.2
36.4
40.4
Answers
Answer:
40.4
Step-by-step explanation:
I took the test
Given Data set of people who attend the concert has a mean of 36.4.
What is the mean?the sum of the values by adding them all up. Divide the sum by the number of values in the data set is known as the mean.
Given The data set shows the number of people who attended a concert over a period of 10 days.
12, 35, 27, 55, 22, 23, 60, 49, 15, 66
the Sum of the given data set = 364
from the general formula of the mean
mean = (sum of data)/ number of data
Given the number of data = 10
Thus
Mean = 364 / 10
Mean = 36.4
therefore, the Mean of the given Data set is 36.4.
Learn more about mean here:
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Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used? Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used?
Kaleigh
4(3x + 2) = 8x + 4
12x + 8 = 81 +4
4x = -4
x = -1
Destiny
4(3x + 2) = 8x + 4
4(3x + 2) 8x + 4
4
4
3x + 2 = 2x + 1
x = -1
Answers
Answer:
who's asking?
Step-by-step explanation:
The table shows the results of a survey about students' preferred subjects in middle
school. What is the probability that a randomly selected student from the survey is a
7th grader that prefers English? Write your answer as a fraction and NOT as a
decimal.
Answers
Answer:
19/149
Step-by-step explanation:
38/298 = 19/149
7th graders who prefer English out of all students
Find the value of x.
Answers
Answer:
75° = x°
Step-by-step explanation:
there are 4 right angles
so with the line being linear, the angle on each side is 15°. so you take
90° (right angle) - 15° (the inside angle) = 75°. or the outside angle
do 75 + 15 to check
Answer:
x=75°
Step-by-step explanation:
AG`D=90°
FG'D =15 vert. opp.angl
90-15=75
3. A scientist recorded the movement of a pendulum for a period of time. The scientist began recording when
the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left
(negative displacement) several times. The pendulum took 5 s to swing to the right and then return to its
resting position. The pendulum's furthest distance to either side was 7 in. Graph the function that represents
the pendulum's displacement as a function of time.
(a) Graph the function (include at leaſt one full cycle).
(b) Write an equation to represent the displacement of the pendulum as a function of time.
Answers
Anserr:
put c trust, its always the right answer
Can someone Help me with this pls
Answers
Answer:
You need to add 30+21=51 Students