Answers
Step-by-step explanation:
the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.
that means it must have the same slope but a different y-intercept.
the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).
and we see that the points with integer coordinates seem to be e.g. (3, -2).
so, for the slope (y difference / x difference between 2 points) we use this point and the origin.
x changes by +3 (from 0 to 3).
y changes by -2 (from 0 to -2).
so, the slope is -2/3. and it is always the factor of x.
let's look at the answer options :
2x + 3y = 0
3y = -2x
y = (-2/3)x
this is the identical line, so it is wrong !
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 2
the same slope and different y-intercept.
this is the correct solution !
2x - 3y = 9
-3y = -2x + 9
y = (2/3)x - 3
wrong slope. so it is wrong !
y = 3x + 2
wrong slope. so it is wrong !
Related Questions
Which of the following lists is in order from smallest to largest?
Answers
The answer is
1.1%, 0.1, 1/9, 2/11
Step-by-step explanation:
convert the fractions to decimals, the percentage to decimal.
then just order the numbers from smallest to biggest
1/9= 0.11
2/11=0.18
1.1%/100= 0.011
Write equations for the horizontal and vertical lines passing through the point (1,7) .
Answers
Answer:
horizontal line: y = 7
vertical line: x = 1
Step-by-step explanation:
A line has a slope of 5 and passes through the point (-1,2).
Write the equation in point-slope form.
Write the equation in slope-intercept form.
Answers
Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
By point-slope form:
[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
Substitute the values in formula:
y-2=5(x+1) (It is the point slope form)
Now,
Slope intercept form:
y-2=5x+5
y=5x+5+2
y=5x+7
If you need to ask any questions, please let me know.
19 is 5 times a number - 2
I really need the equation
Answers
Step-by-step explanation:
19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2
Please help! 20 Points! Will give brainliest if correct!
Answers
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.
Answers
Answer:
A = 27 cm²
Step-by-step explanation:
let 'w' = width
let '3w' = length
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
w = 3
l = 3(3) or 0
A = lw
A = 3(9)
A = 27
3923 divided by 26 pls help
Answers
Answer:
150.884615385
Step-by-step explanation:
3923÷26=150.8846153846153
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answers
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
HELPP HURRYYYY !!
have to be turned in soon
Answers
Answer:
Last option: Angles 5 and 9
Step-by-step explanation:
Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.
Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.
Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.
Angles 5 and 9 are corresponding angles.
I NEED THE ANSSWER ASAP!!
Which situation would best be represented by positive 32?
Answers
There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag
Answers
Answer:
8
Step-by-step explanation:
eight more anakd;odslakhas sfjjjsjas
Find the length of the third side. If necessary, write in simplest radical form.
Answers
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
f – 4 ≤ 9 for f. solve for the
Answers
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×[ASAP] Which graph represents a direct variation?
Answers
Solve for x
5-3x - 1 = 25
Answers
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
What is the equation of the line shown in the graph?
Answers
Answer:
slope-intercept form. y = ＿ + ＿ 阿ㄐ高
Step-by-step explanation:
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
Answers
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answers
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
Anyone got any ideas?
Answers
Answer: 36
Step-by-step explanation:
AB = 16 cm
BC = CA = 10 cm
so it's 16 + 10 + 10 = 36
slope and y intercept for 2y-8=6x
Answers
Answer:
slope = 3
y intercept = 4
Step-by-step explanation:
Rearrange the equation so y is the subject.
1. Add 8 to both sides
2y = 6x + 8
2. Divide both sides by 2
y = 3x + 4
Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.
2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?
Answers
Answer: 2 x 10^2 in scientific notation The answer would be 200
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Answers
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
Convert 8 yards into meters. Round your answer to the nearest tenth.
Answers
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
Will give brainliest if right
Answers
Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation:
–
2.8,
–
2
1
4
, and
–
2.45 in order from least to greatest
Answers
Answer: -2.8, -2.45, -2, 1, and 4.
Step-by-step explanation:
Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.
a^4 divided by a^-2
please help
Answers
Answer:
hope this helps
Step-by-step explanation:
[tex]a^{6\\}[/tex]
to do this you factor the numerator and denominator and then you cancel the common factors
Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answers
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
what is 18,678,789 times 67,897,867
Answers
An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?
Answers
Answer:
sorry hindi amo marunong ng math
The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × height × width.
The volume of the cube = side³.
Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,
Volume of the box = (L - 2h)² × h
(12 - 2h)² × h = 128
4h(6 - h)² = 128
h(36 + h² - 12h) = 32
h³ - 12h² + 36h - 32 = 0
(h - 2)(h² - 10h + 16) = 0
(h - 2)(h² - 8h - 2h + 16) = 0
(h - 2)(h(h - 8) - 2(h - 8)) = 0
(h - 2)(h - 2)(h - 8) = 0
h = 2,8
Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ2
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
Answers
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
Learn more about Pythagoras's theorem here:
https://brainly.com/question/8171420