PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
Answers
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
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Related Questions
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
Answers
Answer:
x less than or equal to 16.6
Step-by-step explanation:
50 divided by 3 is 16.6
since Jill wants 50 square feet as the maximum area x can be less than 16.6.
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answers
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
The quotient of 2 and the sum of a number and 1
Answers
Answer:
2/(x + 1)
Step-by-step explanation:
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches. If the image is enlarged 150%, what are the height and width of the enlarged image?
The enlarged image will have a height of
in. and a width of
in
Answers
Answer:
I think its 3 and 4.5. I looked it up.
Step-by-step explanation:
Look up 2 in enlarged by 150% and I clicked on the first link and then do the same for 3.
The enlarged image will have a height of 3 in. and a width of 4.5 in.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
An image viewed on a computer screen has a height of 2 inches and a width of 3 inches.
If the image is enlarged 150%
so, the height and width of the enlarged image is,
height = 2*150%
=3
width= 3*150%
=4.5
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7. What are the slope and y-intercept of y=3x-5?
Answers
Answer:
slope = 3
y-intercept = -5
Step-by-step explanation:
y = mx + b
m = slope; b = y-intercept
y = 3x - 5
y = 3x + (-5)
m = 3 = slope
b = -5 = y-intercept
Answer:
The slope is 3 and the y-intercept is negative 5.
The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
Answers
Answer:
quantitative manipulation of the independent variable
What is 8.798 rounded to the nearest cent
Answers
Answer:
For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.
Step-by-step explanation:
Find the value of x and thank
Answers
Explanation: ……………
Answer:
65
Step-by-step explanation:
180-100 (40+60) =80
80+35= 115
180-115=65
What is the y-coordinate of the solution of the system of equations?
Sy= 3x – 26
2x – y = 19
Enter your answer in the box.
y=
Answers
Answer: y=3x−262x−y=19
Step-by-step explanation:
Hello, may I ask? uh, what is the formula for finding the mark up rate? original price and mark up price is given.. thank you!
Answers
Step-by-step explanation:
Let original price is C and mark up price is M.
The rate would be the percent change:
r = (M - C)/C*100%6. The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor Is tenth in line. What number should Victor say? (lesson 5.6)
Answers
Answer:
D. 21
Step-by-step explanation:
The first terms are ...
5, 9, 8, 12, ...
Each even-numbered term is 3 more than the previous even-numbered term. Then the even-numbered terms are ...
n = 2, 4, 6, 8, 10
an = 9, 12, 15, 18, 21
Victor should say "21."
Write an equation of the line that passes through (-6,0) and $(0,-24)
Answers
Answer:
-4
Step-by-step explanation:
Y2 = -24 and Y1 = 0
X2 = 0 and X1 = -6
Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4
y= -4x + c
y + 4x= c
Which of the following could be the measure of the angle below
Answers
Answer:
-180
Step-by-step explanation:
its a straight line
Can someone help me with this I’m confused?
Answers
the answer is 2/6, but you can reduce it by 1/2 which is 1/3
help for brainliest plz help i am stuck at thing
Answers
Answer:
= cot²A
Step-by-step explanation:
ito na po step by step explanation
[tex](1-sin^{2}A)(1+cot^{2}A) = cos^{2}A .\frac{1}{sin^{2}A } = \frac{cos^{2}A }{sin^{2}A } = (\frac{cosA}{sinA} )^{2} =cot^{2}A[/tex]
ok done. Thank to me :>
help me please with my math
Answers
Answer:
P = 47.1 units
Step-by-step explanation:
the perimeter of the pair of straight opposite sides is 11+11, or 22
now you have 2 semi-circles, which equals 1 full circle which, if we find the circumference to then we just add it to 22 to get the entire answer
Circumference of circle with diameter of 8:
C = 2πr
C = 2π(4)
C = 8π
C = 25.13
now add 22 + 25.13 to get 47.1 rounded to nearest tenths place
solve |8y+4|=2|y-1|
please show the work!
Answers
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1
How do you find function f for piecewise function.
Answers
Answer:
The f(x) is equal to whatever is on the right side of the piecewise functions, as long as the conditions for x are met.
Step-by-step explanation:
An example has been attached
-- Gage Millar, Algebra 1/2 tutor
do the write a relation as a set of five ordered pairs then express the relation using a:
table
mapping diagram
graph
Answers
Answer:
Step-by-step explanation:
Table
x I y-------1 I 22 I 43 I 64 I 85 I 10How many bagels can you buy for $50?
Answers
Answer: about 120??
Step-by-step explanation: pls leave a thanks if helped <3
Answer: 120 bagels
Step-by-step explanation:
$50/$5 = 10 dozens of bagels
10 dozens x 12 = 120 bagels in total
Solve it by Substitution
no link or website a well download for the answer. please do step by step
Answers
To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.
Easy way to do decimal multiplication.
Answers
Answer:
first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
factor -24a - 16b + 40
Answers
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
12 + (-4) - 2/5j - 4/5j + 5
Answers
12+ 5= 17
17+(-4) -2/5= 12.6
Answer:
-6j+65/5
Step-by-step explanation:
PLEASE GIVE ME THE BRAINLIEST ANSWER
16.3 divided 90
pls answer...
Answers
Answer:
Calculator
Step-by-step explanation:
Fraction: 163/900
Decimal: 0.1811111
Bert and Ernie own 20 rubber duckies total. If Bert owns 8 rubber duckies, how many does Ernie own?
Answers
Answer:
Ernie earns 12 rubber duckies
Step-by-step explanation:
20-8=12
5p + 3 = 15
please convert this into a WORD PROBLEM
Answers
Answer:
What is the value of p if 5p+3=15
Answer:
When the product of 5 number and a number is added to 3 result is 15. Find the number.
Can someone please answer for a and c
Answers
Answer:
a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
First Triangle, this is a 45-45-90 triangle
so the side are 1-1-√2
so if one of the side is 3, you multiply the above by 3
1*3-1*3-√2*3
therefore, a=3√2
Second triangle
this is a 30-60-90 Triangle
so the sides are x-x√2-2x
for this triangle
x√2=6
x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator
x=6√2/4 --> simplify
x=[tex]\frac{3\sqrt{2}}{2}[/tex]
therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]
Is this graph proportional or non-proportional? How do you know?
Answers
Answer:
It is a proportional graph.
Step-by-step explanation:
By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.
Find the measure of angle A.
4x
135°
5x
A
Answers
[tex]4 \times + 5 \times + 135 = 180[/tex]
We can solve for X:[tex]9 \times + 135 = 180 \\ 9 \times = 45 \\ \times = 45[/tex]
Multiply this value of x to 4 and 5 to get the other two angels.