Answers
Answer (assuming it is allowed to be written in slope-intercept form):
[tex]y = -\frac{2}{3} x + 1[/tex]
Step-by-step explanation:
When knowing a line's y-intercept and its slope, you can write its equation using slope-intercept form, or [tex]y = mx + b[/tex].
1) First, find the slope of the line. Read the graph and look at the two points marked on the line - they are (0,1) and (3,-1). Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] , substitute the x and y values of those points, and solve:
[tex]\frac{(-1)-(1)}{(3)-(0)} \\= \frac{-1-1}{3-0} \\= \frac{-2}{3}[/tex]
Thus, the line's slope is [tex]-\frac{2}{3}[/tex].
2) Now, use the slope-intercept formula, [tex]y = mx + b[/tex], to write an equation. Substitute the [tex]m[/tex] and [tex]b[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{2}{3}[/tex] in its place. The [tex]b[/tex] represents the y-value of the y-intercept, or the point at which the line crosses the y-axis. Looking at the graph, we can see that the line intersects the y-axis at (0,1). Thus, substitute 1 for [tex]b[/tex]. This gives the following equation and answer:
[tex]y = -\frac{2}{3} x + 1[/tex]
Related Questions
2x - 4 < 12
???????????
Answers
Answer: x < 8
Reason: I did some math
Answer:
x<8
Step-by-step explanation:
Choose the numerical expression that matches the phrase.
Multiply 4 and 7, then add 3.
3 x 4 +7
Α.
B. 3 x 7 +4
C.4 x 7 + 3
D. 7 x 3 + 4
Answers
Answer:
Multiple 4 and 7, then add 3 is equivalent to
C. 4 x 7 + 3
Answer:
C. 4 x 7 + 3
Step-by-step explanation:
→ Multiply 4 and 7
4 × 7
→ Then add 3
4 × 7 + 3
What is the value of X in the diagram below round to the nearest hundredths
Answers
11/9 = x/18
9x = 198
x = 22
Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP
Answers
Answer:
A mixture?
Step-by-step explanation:
12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta
Answers
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
Help me out please I’ll mark brainliest
Answers
I believe the answer is ASA
look (this is what 2 + 2 equals)
Answers
5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)
or 4
PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL
Answers
AD= 23
DC= 23
AC= 46
The median means both sides of the line AC are equal.
Therefore: x+ 3 = 2x-17
and we can solve this for x
Subtract x from both sides
x-x = 2x-x -17
3 = x -17
Add 17 to both sides
3 +17 = x -17+17
20 = x
The length of AD is x + 3, replace x with 20:
20 + 3 = 23
The length of DC is the same as AD (because they’re separated by the median) so DC= 46
AC is the length of AD + DC,
23+23= 46.
AC= 46
Triangle QRS is isosceles with m(∠R) = 107°. What is m(∠Q)
Answers
Answer:
36.5 degrees
Step-by-step explanation:
An isosceles triangle is a triangle in which two angles are equal
The sum of angles in the triangle is 180°
If one of the angles is 107°, the sum of the other two angles is (180° - 107°) 73°
The size of each of the two angles is 73/2 = 36.5°
Find the slope!!
Quickly please
Answers
since the line goes up 2 and over 1
the equation to find slope is
(y2-y1)/(x2-x1)
(3-1)/(1-0) = 2/1 = 2
Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.
Answers
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
4. acute angle is shown, 40° is missing.
5. acute angle is shown, 42° is missing.
6. acute angle is shown, 100° is missing.
7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
8. an obtuse and a acute angle are shown, 45° (for 1) and 135° (for 2) are missing.
There are 12 trees on the Smith’s property. The Smith’s plant some trees, and now there are 21 trees. How many trees t do the Smith’s plant?
Answers
Answer:
The Smith's planted 9 trees
Step-by-step explanation:
21-12=9
Because the Smith's ending amount is 21, and their beginning amount is 12 you subtract 21-12=9
Answer:
Well, there can be two answers. One of them can be 9, since they planted 9 MORE trees on top of the 12 already there. (21-12=9) The other answer can be 33 if you count all the trees they planted. (12+21=33)
Step-by-step explanation:
median of 410, 400, and 375
Answers
Answer:
400
Step-by-step explanation:
375 , 400, 410 (arrange in asc or des)
median = (middle num) = 400
Hope its right!
Answer:
400
Step-by-step explanation:
(x + 1)^7
Use Pascal's Triangle and Binomial.Theorem
Answers
Answer:
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
Step-by-step explanation:
(x + 1)⁷: Pascal's Triangle for (a+b)⁷
a₇+7a⁶b+21a⁵b²+35a⁴b³+... + 7a¹b⁶ + b⁷
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jennifer spent $146 on 6 rose bushes and 14 geraniums. Chelsea spent $57 on 1 rose bush and 7 geraniums. What is the cost of one rose bush and the cost of one geranium?
Answers
Answer:
$15.00
Step-by-step explanation:
Suppose 1 rose bush costs r dollars,
Suppose 1 geranium costs g dollars.
Here are 2 equations:
1)6r+14g=146
3r+7g=73
2)r+7g=57
r=57-7g
Put 2) in 1)
3(57-7g)+7g=73
171-21g+7g=73
98=14g
g=7
r=8
7+8=$15.00
Hope I helped!
Give the angle measure represented by 2 rotations clockwise.
a. -720°
c. -360°
d. 360°
b. 720°
Answers
Answer: B: 720
Step-by-step explanation: One turn is 360
The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answers
Answer:20
Step-by-step explanation:
I got it right on my test
Answer:
20
Step-by-step explanation:
just took the test :)
The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the image file of the question:
The dresser dimension is:
[tex]L= 6.0 \ feet\\\\ W= 3.0 \ feet[/tex]
The bed dimension is:
[tex]L = 7.1\ feet\\\\W = 5.7\ feet[/tex]
The table dimension is:
[tex]L = 2.8 \ feet\\\\W= 2.8 \ feet[/tex]
Simplify: 5d + 3 + 2h + 1 + 3h + 2d
Answers
dhehshshep
Answer: 7d+5h+4
Step-by-step explanation: Combine Like Terms: 5d+3+2h+1+3h+2d
=(5d+2d)+(2h+3h)+(3+1)=7d+5h+4
Final Answer: 7d+5h+4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Which student below wrote an addition statement with the greatest sum,
and what is the sum?
Answers
What part of 18 is 1
Answers
Answer:
1 / 18 = 5.555555555556%
Step-by-step explanation:
hope it helps
The [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Fraction:Let us consider that x part of 18 is equal to 1.
So that,
[tex]x*18=1\\\\x=\frac{1}{18}[/tex]
Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Learn more about the fraction here:
https://brainly.com/question/78672
Which expression is equivalent to 4(3+5) - 3•9^2
Answers
Answer:
se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok
Step-by-step explanation:
espero ter ajudado.
what is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29.
ILL GIVE U BRAINLYEST
Answers
answer:
48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312
divide by number of numbers,
312 / 8 = 39
the mean is 39.
if correct, please mark the brainliest :)
Answer:
the mean is 39.
Step-by-step explanation:
GIVING BRAINLIEST!!! please help
Match the graphs to the correct answer
Answers
Answer:
If i answer you have to give me brainliest and go to photomath.com it will tell you the answer
Step-by-step explanation:
8 gallons of soil are needed to fill 6 large plant pots. How many gallons are needed to fill 8 pots? Give your answer as a mixed number.
Answers
Answer:
9.5 gallons of soil.
Step-by-step explanation:
8 divided by 6 is .75, meaning each pot has .75 gallons of soil.
8 plus .75 plus .75 equals 9.5 gallons of soil.
Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook
Answers
Answer:
n+p=4.50
n=2p
2p+p=4.5
2p=4.5
p=$1.5
n=$3
Step-by-step explanation:
Answer:
Pencil: $1.50
Notebook: $3
Step-by-step explanation:
n = cost of notebook
p = cost of pencil
n + p = 4.5
n = 2p
substitute n into the first equation
2p + p = 4.5
3p = 4.5
p = 1.5
n = 2p
n = 2(1.5)
n = 3
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
⦣ACD = 90º
Step-by-step explanation:
⦣ACD + ⦣BCD = 180º
⦣BCD = 90º
⦣ACD + 90º = 180º subtract 90º from both sides
⦣ACD = 90º
Solve the equation:
-35 = -30 - b
Plzzzzz help
Answers
-35=-30-b
+30 +30
-5=-b
—. —
-1. -1
5=b
what is the common difference of the arithmetic sequence 5,8,11,14?
Answers
Answer:
3
Step-by-step explanation:
8-5= 3
11-8= 3
14-11= 3
Answer:
common difference = difference between two consecutive number in a given series
hence,
8-5=3
common difference =3
One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.
The value of the first number is ___.
The value of the second number is ___.
Answers
Answer:
Step-by-step explanation:
The first number is
−
13
and the second number is
−
6
Explanation:
Let's let the first number be
n
and the second number be called
m
.
Then, from the first sentence we can write:
n
=
m
−
7
and from the second sentence we can write:
2
n
=
6
m
+
10
Substitute
m
−
7
for
n
in the second equation and solve for
m
:
2
(
m
−
7
)
=
6
m
+
10
2
m
−
14
=
6
m
+
10
2
m
−
14
−
2
m
−
10
=
6
m
+
10
−
2
m
−
10
−
14
−
10
=
6
m
−
2
m
−
24
=
4
m
−
24
4
=
4
m
4
m
=
−
6
Now substitute
−
6
for
m
in the first equation and calculate
n
:
n
=
−
6
−
7
n
=
−
13