Which inequalities are true? Select the four correct answers.
Much thanks to whoever helps!!
Answers
Related Questions
MIK
chocolate
20%
Dark
chocolate
45%
White
chocolate
35%
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph.
If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate?
-0)
A)115
B)125
C)135
D)150
Answers
Answer:
B; 125
Step-by-step explanation:
45% of 500 is 225. 20% of 500 is 100
225 - 100 = 125
Hope this helps :)
Answer:
B)125
Step-by-step explanation:
i'm just guessing since i don't know the answer. I hope it's right
The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X
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Answer: x = 6
Step-by-step explanation:
The perimeter of the isosceles triangle = 2 leg + base
Since the perimeter = 60
then 60 = 2(5x - 3) + x
60 = 10x - 6 + x
60 + 6 = 11x
6 = x
Step-by-step Explanation:
The legs are both the same so 2(5x - 3) accounts for both. Then add x and simplify.
10x - 6 + x
11x - 6
Set equal to 60
11x - 6 = 60
11x = 66
x = 6
Answer the question below
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Terry’s average driving speed for a 2 and a half hour trip was 58 mph. How far did Terry travel?
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145 miles. lets see how i got this.
so first i took the 2.5 hour trip and the average speed, which was 58 mph (or 93.3 kph), and multiplied them together, because of the rule of d=rt.
sidenote: also if you want to find the speed, use r=d/t. also, for finding the time, use the t=d/r rule.
side-sidenote: i hope this answers your question and helps you in the future.
key: r= rate (mph or kph), d=distance, and t=time.
Which expression is equivalent to mz4?
14
1
2
N
5
3
6
기
O
m22+ m23
+
O
m21+ Mz2
Om 1 m3
//
K
Answers
Step-by-step explanation:
m<4 (exterior angle) = m<2+m<3( sum of two opposite interior angle)
hope this helps you.
The expression equivalent to m<4 when the given image is examined is m<2 + m<3.
What are the angles equivalent to m<4?According to mathematical theory, an exterior angle is equal to the sum of the two interior opposite angles. An exterior angle is formed when a line extended from an adjacent side of a regular polygon. An interior angle is the angle that is formed inside the polygon.
To learn more about interior angles, please check: https://brainly.com/question/10638383
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
11
Step-by-step explanation:
A=8x+8
B=8x-4
A+B=180 degrees
therefore,
8x+8+8x-4=180
16x+4=180
16x=176
x=176/16=11
Hope it helps
Pls mark as brainliest
This is so hard and I don’t know why
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Answer:
Hey girl! I got you.
Step-by-step explanation:
So! The angle x and z are congruent, meaning that they are equal, so you got that part correct. They are indeed 103. Next you need to find y, and in this case you need to do 180 - 103 because the line that holds both angle z and angle y is equal to 180.
180 - 103 = 77, you got that correct also!
You're on the right track, just explain in words how you know what each angle is equal to! Good luck! :)
What would be the answer to the math equation e-mc2
(It is a subtraction sign) :)
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[tex]e−mc {}^{2} [/tex]
Use the commutative property to reorder the terms[tex]e - {c}^{2} m[/tex]
Find the solution set of the following 1. (2x + 3)(2x – 1) = 10 2. (x + 8)^2 – 9x = 52 3. 15 + x(x + 2x) = 10 4. x(x – 4) = 32 5. 3x(x – 2) = 12x
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Answer: 12x
Step-by-step explanation:
(
2
+
3
)
(
2
−
1
)
=
1
0
2
(
+
8
)
2
−
9
=
5
2
3
1
5
+
(
+
2
)
=
1
0
4
(
−
4
)
=
3
2
5
3
(
−
2
)
=
1
2
Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.
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x = smallest integer
x + 2 = second smallest integer
x + 4 = second largest integer
x + 6 = largest integer
Solving:
(3(x + 6)) - 2x = 63
3x + 18 - 2x = 63
x + 18 = 63
x = 45 (smallest integer)
Answer: The integers are 45, 47, 49, and 51.
Check:
(3*51) - (2*45) = 63
153 - 90 = 63
63 = 63
Are the integers consecutive and odd? Yes!
5. For which value of x is line 1 parallel to line m? (1 point)
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Answer: 62
Step-by-step explanation: you set up the equation by making the two sums equal eachother. 2x+6=130. then you solve, subtract six from both sides, then you have 2x=124. divide both sides by 2 to get the sum of x. you get x=62
Chris and Jeff sold 15 .5 pounds of trail mix they sold the trail mix for 3.98 dollars per pound how much money did they collect? explain
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61.69
hope this helps
Answer:
if ever po na dimo nakita yan dito ayan po yung answer
This rectangle has a perimeter of 40 meters and a length of 12 meters what is its area
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Answer:
The answer is 84
Step-by-step explanation:
let h(x) be the inverse of f(x).If h(x)=-4+1 find f(x)
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Assuming you meant to type h(x)=-4x+1
Answer:
[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
We know that, because [tex]h(x)[/tex] is the inverse of [tex]f(x)[/tex], that [tex]h(f(x))=x[/tex], so [tex]-4f(x)+1=x[/tex].
Aha! We can solve for [tex]f(x)[/tex]!
We subtract [tex]1[/tex] from both sides to get [tex]-4f(x)=x-1[/tex].
Finally, we divide both sides by [tex]-4[/tex] to get [tex]\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}[/tex].
factorise:
a) 32x⁴-8y²
Answers
Answer:
8(2x² - y)(2x² + y)
Step-by-step explanation:
32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term
= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
4[tex]x^{4}[/tex] - y²
= [tex](2x^2)^{2}[/tex] - y²
= (2x² - y)(2x² + y)
Thus
32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)
Rearrange the equation y+5=3/4(x-12) into slope-intercept form.
PLEASE show work for brainliest
Answers
y+5=3/4x-9— distributing the 3/4
y=3/4x - 14 — subtracting 5 from both sides
final answer is y=3/4x - 14 since slope intercept form is y=Mx+b
The equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
An equation is given which is :
y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12)
If we multiply by 4 on both sides , we get :
4y + 20 = 3x - 36
or
4y = 3x - 56 -- -- -- -- --- ---- ----- ----- --- --- --- Equation 1
We know that the slope intercept form of a line is given by :
y = mx + c
So , to change the above equation into slope intercept form we must divide equation 1 by 4. So , the rearranged equation will be :
4y / 4 = (3/4 x ) - (56 / 4)
y = [tex]\frac{3}{4}[/tex] x + (-14)
Therefore , the equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).
Learn more about slope intercept form here :
brainly.com/question/18594541
#SPJ2
One of the following inequalities is graphed below in the
standard (x,y) coordinate plane. Which one? (Click on the
link to see the graph)
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Answer:
NEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEED
THE LINK SORRY HOPE THIS HELPS
Type an equation for the
following pattern.
y=[? ]x+[ ]
Answers
To solve for the slope, choose two pairs of coordinates and substitute their values into the slope formula.
Let (x1, y1) = (1, 5)
(x2, y2) = (2, 4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 5)/(2 - 1)
m = -1/1
m = - 1
Therefore, the slope, m = -1.
For the y-intercept, choose one of the given points, and use it along with the slope to solve for the y-intercept. Using point (2, 4) and the slope, m = -1, substitute their values into the slope-intercept form:
y = mx + b
4 = -1(2) + b
4 = -2 + b
Add 2 to both sides to solve for b:
4 + 2 = -2 + 2 + b
6 = b
Therefore, the linear equation is :
y = -x + 6
Please mark my answers as the Brainliest, if you find this helpful :)
Which situation can be represented by the equation 4d + 5 = 29?
Answers
Answer:
d=6
Step-by-step explanation:
subtract 5 from both sides
then simplify what you get
then divide both sides by 4
then simplify to get answer
Graph the image of the given triangle after a rotation of 180° about the origin
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Answer:
The bottom point is at (-1, 1) the right point is at (6,-2) and the left point is at (-5,4)
Step-by-step explanation:
Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If a coordinate of any polygon (x,y) is rotated 180 degrees about the origin either clockwise or anticlockwise then its coordinate will change sign.
(x,y) → (-x,-y)
Given triangle have coordinates as (-1,1),(-2,6), and (-5,4).
The transformation (x,y) → (-x,-y) gives ;
(-1,1) → (1,-1)
(-2,6) → (2,-6)
(-5,4) → (5,-4)
Hence "Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4)".
To learn more about the transformation of graphs,
brainly.com/question/3099136
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I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.
Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.
Answers
Answer:
At least 4 years
Step-by-step explanation:
Simple interest is given by
I = Prt
so here, one year's interest is
I = 300(.045) = 13.5
Divide 50 by 13.5 and get 3.7 years...thus
she will need four years to donate 50...
Step-by-step explanation:
Interest Rate = (Simple Interest × 100)/(Principal × Time).
given
Principal(P) = 300
Interest Rate(I.R) = 4.5%
Simple Interest(S.I) = 50
required
Time(T)
I.R = (S.I × 100)
(P ×T)
T × I.R = (S.I × 100) ×T
I.R (P × T) × I.R
T = (S.I × 100)
(P × I.R)
= (50 × 100)
(300 × 4.5)
= 5000
1350
=3.7
1.) Identify the triangle congruence postulate or theorem (SSS, SAS, ASA, AAS, or HL) that proves the
triangles are congruent. If the triangles are not congruent, state not congruent.
HINT: label the corresponding congruent parts in just one of the triangles.
(6 total points: 1 point for each correct congruence postulate)
PLEASE NEED HELP ASAP!!
Answers
Two triangles are congruent if they meet they both meet the rules for congruency
The rules that makes the given triangles congruency are;
a) SSS
(b) SAS
(c) ASA
(d) Not congruent
(e) AAS
(f) HL
Reasons:
(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency
Segment SP ≅ Segment PR; Same number of tic marks indicating congruency
Segment QP ≅ Segment QP; Reflexive property
Therefore;
ΔPQS ≅ ΔPQR by Side-Side-Side, SSS, rule of congruency(b) Segments AC, BC, on ΔABC ≅ Segments CD, CE, on ΔCDE Given
m∠DCE ≅ m∠ACB; Vertically opposite angles postulate
Therefore;
ΔABC ≅ ΔDEC by Side-Angle-Side SAS, rule of congruency(c) Segment ST ≅ Segment TU; Given
m∠RST = m∠VUT = 90°; Given
∠VTU = ∠RTS; By vertical angle theorem
Therefore;
ΔRTS ≅ ΔUTV by Angle-Side-Angle, ASA, rule of congruency(d) Not congruent because given parameter Side Side Angle not a condition for congruency
Not congruent
(e) ∠GHJ ≅ ∠GFJ; Given
∠HJG ≅ ∠JGF; Given
Segment GJ ≅ Segment GJ; By reflexive property
Therefore;
ΔGFJ ≅ ΔGJH; By Angle-Angle-Side, AAS similarity rule(f) Hypotenuse AB ≅ Hypotenuse DE; Given
Leg AC ≅ Leg DF; Given
Therefore;
ΔABC ≅ ΔDFE; by Hypotenuse Leg, HL, rule of congruencyLearn more here:
https://brainly.com/question/21301647
ELPPP I SUCK AT THIS
I didnt mean to press 79 but it wouldn't let me unclick it I can still change my answer tho
Answers
Answer:
79
Step-by-step explanation:
80 divided by 8+72-3
10+72-3
82-3
79
Hope this helps!
HELP PLEASESSSSDEDDnkdksksk
Answers
Answer:
x= -3
Step-by-step explanation:
The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x
help please, i don’t understand
Answers
answerrrrrrrrrrrrrrrrrr plzzzzzzz
Answers
Answer:
X=24
Step-by-step explanation:
55-31 is 24
Answer:
x+31°=55°[alternate angle]
x=55°-31°
x=24°
answer
You save $35 a week for a year. How much do you have at the
end of the year? (Hint: Use 52 weeks
please help
Answers
Construct the bisector of the following figures
Answers
Answer:
It may help if we could read it
At 109°F, a certain insect chirps at a rate of 77 times per minute, and at 117°F, they chirp 101 times per
minute. Write an equation in slope-intercept form that represents the situation.
The equation that represents this situation is
Answers
Answer:
y=3x-250
Step-by-step explanation:
Slope intercept form: y=mx+b
Step 1) to find slope, use (y2-y1)/(x2-x1)
(101-77)/(117-109) = 3
m = 3
Step 2) determine y-intercept (b)
109 * 3 = 327
77-327 = -250
b=-250
y=3x-250
A line passes through (2, −1) with slope 3. What is the equation of the line in point-slope form?
Answers
Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .
Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;
[tex]\implies m(x-x_1)=y-y_1[/tex]
Substitute ,
[tex]\implies 3(x -2) = y -(-1) [/tex]
Simplify ,
[tex]\implies 3x -6=y+1 [/tex]
Add -1 and -y to the both sides ,
[tex]\implies \boxed{3x -y -7=0 }[/tex]