A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.
Answers
The slope is 0.75 as 3/4 = 0.75
Answer:
Step-by-step explanation:
Only the blue line has a positive slope. So the new line is parallel to the blue line.
Clearly, the blue line goes through the point (0, 3) (this is the y-intercept). Follow this blue line upward and to the right until it intersects the horizontal line at the top of the diagram. We must estimate the x-value of this point of intersection. A good approximation would be 5 1/3.
Now estimate the slope of the blue line. Starting at (0, 3), we move 5 1/3 units to the right (this is the "change in x," or "run") We end up at (5 1/3, 3).
Now, from the horizontal line y = 3 upward to the horizontal line at the very top of the graph, is 5 units. This is the "rise."
Thus, the approximate value of the slope here is
5 5 15
m = rise / run = ---------- = -------------- = ----------- = m
5 1/3 16/3 16
Related Questions
A bag of flour weights 5 pounds . There are 420 grams in 1 pound . How many grams of flours are in the bags ?
Answers
Answer:
2100
Step-by-step explanation:
Answer:
2100 grams
Step-by-step explanation:
Just multiply 5 with 450.
Solve 14m = 98
A. M=7
B. M=112
C. M= 84
D. M=8
Answers
Answer:
A) m=7
Step-by-step explanation:
Just divide 98 by 14
Answer:
A is the answer
Step-by-step explanation:
7×14 = 98
A line passes through the points (3, 5) and (2, 0). What is the slope?
Answers
Answer:
y= -4x - 5
Step-by-step explanation:
5 is your y-intercept
The slope of the line which passes through the points (3,5) and (2,0) is 5
From the question,
We are to determine the slope of the line
The slope of a line with two given points can be determined from the formula
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Where m represents the slope
From the given information
x₁ = 3
y₁ = 5
x₂ = 2
y₂ = 0
Putting these into the formula,
We get
[tex]m = \frac{0-5}{2-3}[/tex]
Then,
[tex]m = \frac{-5}{-1}[/tex]
∴ m = 5
Hence, the slope of the line which passes through the points (3,5) and (2,0) is 5
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Find the vertex and y-intercept of the quadratic function.
y = - x2 + 4x + 7
Answers
Answer:
Vertex: (2, 11)
Y-Intercept: (0, 7)
Step-by-step explanation:
Help help help help help help help help help help
Answers
I am not really sure, but I can say that I would go with; either B or C. Sorry...
Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that
models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service
charge?
Answers
Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
Step-by-step explanation:
yeah that’s all
The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.
The equation to find the one-time service charge is 93.75 = 17.05x + b
The point-slope form equation is written as:
y = mx + b
Where
m = gradient
b = slope of the line
Liam rented a pedalboard for 5.5 hours and paid a total of $93.75.Therefore, the cost of renting a pedalboard for 1 hour
= $93.75/5.5
= $17.05
a) An equation in a point-slope form that models the cost of renting a pedal board for x hours is written as:y = mx + b
Where
y = Total charge = $93.75
m = Cost of renting a pedalboard per hour = $17.05
x = Number of hours for renting a pedal board
Hence, the equation is given as:
93.75 = 17.05x
b)The equation to find the one-time service charge where the service charge is b is given asHence, the equation is given as:
93.75 = 17.05x + b
Where b = service charge
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True of False?
2) A fraction can multiply with another fraction
Answers
Answer:
True.
Step-by-step explanation:
Hope this helps!
Answer:
TRUE!!
Step-by-step explanation:
Good luck
If you can fit 50 people into one bus, how many buses would you need to transport 940 people? Show your work.
Answers
Answer: 19
Step 1: Divide.
940 ÷ 50 = 18.8
Step 2: Round 18.8 to the nearest one.
18.8 - 19
Answer to the question is 19.
Answer:
About 19 buses
Step-by-step explanation:
940/50 = 18.8 ≈ 19
Simplify each of the expressions.
Answers
Answer:
5y2 + -3y + 2
Step-by-step explanation:
Sorry only have the first one.
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–21
–4
11
27
Answers
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
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The slope of this graph is?
Answers
what is an explicit representation for the nth term of the sequence (-1/2, -2 , - 8, -32)
Answers
Answer:
sdvsvsdv
Step-by-step explanation:
Answer:
Step-by-step explanation:
It’s B
Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?
Answers
Ratio of boys who liked soccer to boys who liked basketball = 3:5
Given :-
Number of boys who enjoyed soccer :-
[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]
Total number of boys who were surveyed were equal to the total number of girls who were surveyed .
Which means :-
Let the total number of boys who were surveyed be x .
Total number of boys =
[tex] = \frac{3}{8} \times x = 90[/tex]
[tex] = x = 90 \div \frac{3}{8} [/tex]
[tex] = x = 90 \times \frac{8}{3} [/tex]
[tex] = x = \frac{720}{3} [/tex]
[tex]\color{hotpink}x =\color{hotpink} 240[/tex]
Which means a total of 240 boys were surveyed .
Number of boys who liked basketball :-
[tex] = \frac{5}{8} \times 240[/tex]
[tex] = \frac{1200}{8} [/tex]
[tex]\color{hotpink} = 150 \: \: boys[/tex]
Which means a total of 150 boys liked basketball .
Number of girls who liked soccer :-
[tex] = \frac{7}{8} \times 240[/tex]
[tex] = \frac{1680}{8} [/tex]
[tex]\color{hotpink} = 210 \: \: girls[/tex]
A total of 210 girls enjoyed soccer .
Number of girls who enjoyed basketball :-
[tex] = \frac{1}{8} \times 240[/tex]
[tex] = \frac{240}{8} [/tex]
[tex]\color{hotpink} = 30 \: \: girls[/tex]
A total of 30 girls like basketball .
Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .
BRAINLEST ANSWER!! please show the steps
4 (2x-7) +4 > -88
Answers
Step-by-step explanation:
4(2x-7)+4>-88
4(2x-7)>-92 Subtract 4 from both sides
8x-27>-92 Distributive property
8x>-65 Add 4 to both sides
-8x<65 I call this the negative switch, but it is called something else
x<-8.125
four a number, increased by one , is between seven and thirteen .
Answers
can you name some of the respectful disagreement skills
Answers
Answer: Listen to what the other person has to say, try to see from other perspectives, don't show anger or other person won't listen to what you have to say.
Step-by-step explanation:
Answer:
no sorry
Step-by-step explanation:
Find the equation of line b described below, in slope-intercept form
Line a is perpendicular to line b
Line a passes through the points (1,-8) and (9,-12)
Line b passes through the point (-8, -16)
The equation of line b is y= ______
Answers
Given:
Line a is perpendicular to line b .
Line a passes through the points (1,-8) and (9,-12) .
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]
[tex]m_a=\dfrac{-12+8}{8}[/tex]
[tex]m_a=\dfrac{-4}{8}[/tex]
[tex]m_a=-\dfrac{1}{2}[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_a\times a_b=-1[/tex]
[tex]-\dfrac{1}{2}\times a_b=-1[/tex]
[tex]b=2[/tex]
Slope of line b is 2.
If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
Line b passing through (-8,-16) with slope 2. So, equation of line b is
[tex]y-(-16)=2(x-(-8))[/tex]
[tex]y+16=2(x+8)[/tex]
[tex]y+16=2x+16[/tex]
Subtract 16 from both sides.
[tex]y=2x[/tex]
Therefore, the equation of line b is [tex]y=2x[/tex].
During the 2010 Great Backyard Bird Count, an average of
42 bald eagles were counted in each of 20 locations throughout
Alaska. In 2009, an average of 32 bald eagles were counted in
each of 26 locations throughout Alaska. Based on this data, how
many more bald eagles were counted in 2010 than in 2009?
Use the graphic organizer to help you solve the problem.
Answers
Answer:
good luck
Step-by-step explanation:
I What are the subsets of dog cat fish
Answers
Answer:
Mammals
Step-by-step explanation:
these vertebrates are considered mammals
Answer:
Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}
if that doesn't work do
4 - Practice: Working with Sets Practice
1. D
2. B
3. A
4. C
5. A
6. C
7. C
8. D
9. C
10. B
-cc
hope this helped please mark me brainliest!
Anyone know how to do??
Answers
Answer:
x = 15°
Step-by-step explanation:
∠2 and ∠4 are same-side interior angles, meaning they add up to 180
2x + 10 + 4x + 80 = 180
Rearrange (collect like terms)
6x = 180 - 80 - 10
6x = 90
x = 15°
Answer:
x = 15Step-by-step explanation:
∠2 = 2x + 10
∠4 = 4x + 80
∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180
2x + 10 + 4x + 80 = 180
combine similar terms: 6x = 180 - 80 - 10
simplify: 6x = 90
solve for x = 90 / 6
x = 15
Help quick The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
A. 2x + 5y = −2
B. 2x − 5y = 18
C. 5x + 2y = 16
D. 5x − 2y = 24
Answers
Answer:
Step-by-step explanation:
The answers is A
The required equation of the parallel track that runs through the point (4 , -2) is 2x + 5y = −2.
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2) TO determine.
The equation is the relationship between variables and represented as y=ax + b is an example of a polynomial equation.
Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5
Since the slope of the parallel lines are equal.
The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2
Thus, the required equation of the parallel track that runs through the point (4 , -2) is 2x + 5y = −2.
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Evaluate each of the following expressions if x=5, y=6, z=-6
X+3y+z=____
(x-12)+3(y+z)=____
100x+yz=___
Answers
Can someone help please?
Answers
Answer:
just substitute the numbers for the variable y, and see whichs are greater than or less than 6
Answer:
1
Step-by-step explanation:
13 - 7(-1) = 20 so no
13 - 7(0) = 13 so no
13 - 7(1) = 6 so yes
[is there a 2 there?] 13 - 7(2) = -1 so no
13 - 7(3) = -8 so no
4(2x - 2) + 2 = 4(x - 2)
Answers
Answer:
X=-1/2
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
x = -1/2 or -0.5
Step-by-step explanation:
4(2x - 2) + 2 = 4(x - 2)
open the parenthesis
8x - 8 + 2 = 4x - 8
add 8 to both sides of the equation
8x - 8 + 2 + 8 = 4x - 8 + 8
combine like terms
8x + 2 = 4x
subtract 4x from both sides of the equation
8x - 4x + 2 = 0
4x + 2 = 0
subtract 2 from both sides of the equation
4x + 2 - 2 = 0 -2
4x = -2
divide both sides by 4
4x/4 = -2/4
x = -1/2
Find the slope of the line passing through each of the following pairs of points.
(0, −8), (0, 4)
Answers
Answer:
Undefined.
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{4+8}{0-0}=\frac{12}{0}= undefined[/tex]
The slope is undefined.
Hope this helps.
Answer:
Undefined( If this is wrong then it is zero)
Step-by-step explanation:
The formula for this problem is y2 - y1/x2-x1. You can name any of those points 1 or 2 as long as they have the right coordinate.
4 - (-8)/0 - 0= 12/0 = Undefined
Jeremy performs the same operations on 4 values for x. He records each resulting y-value in a table, which equation shows the operation Jeremy performs on x to get to y?
x: 2,4,6,8
y:5,13,21,29
Answers: y= 2x+1 , y= 4x-3 , y= x+3 , y= 3x-1
Answers
Answer:
y= 2x+1
Step-by-step explanation:
Renting video games from Store S cost $2.50 per game plus a monthly fee of $5. Renting video games from Store T cost $5 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. What inequality represents the situation when the monthly cost of Store S is less than the monthly cost at Store T?
Answers
Answer:2.5v+5>5v
Step-by-step explanation:this definitely right
John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. How much did John and Jane each spend, if they spent the same amount of money?
Answers
Answer:
They spent $15.
Step-by-step explanation:
It's given that Jane bought x cookies, so 3x.
John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.
3x=x+10
2x=10
x=5
So they got 5 cookies each.
5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )
Find the height of an equilateral triangle with sides 12 cm long.
Answers
Answer:
12cm
Step-by-step explanation:
Since it is an equilateral triangle, meaning that all sides are equal the height is 12 cm.
what is the greatest common factor shared by 51 and 21