Answer:
Y = 58
X = 66
Step-by-step explanation:
So the markers mean that those sides of the triangle are congruent. Because of this, we know that the angles opposite from those sides are equal as well.
In the big triangle, Y will be equal to the empty angle. You can then use:
180 = 64 + 2*Y
Then, solving for Y, you get:
Y = (180-64)/2
Y = 58
You can use the same idea for the smaller triangle. The empty angle will be the same as the angle marked as 57.
180 = 57*2 + X
Then, solving for X, you get:
X = 180 - 57*2
X = 66
Find the Slope of the line graphed?
Answer:
-1/2
Step-by-step explanation:
It is negative since the slope is declining, meaning that it is a negative slope!
It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2
Consider marking this as brainliest it really helps!
May I please receive help?
Answer:
slope of line 1
m = (-8 - 2) / (2 + 2)
m = -10/4 = -5/2
slope of line 2
m = (6 + 1) /(5 - 0)
m = 7/5
slope of line 3
m = (-2 + 7) /(2 - 4)
m = 5/ -2
m = -5/2
Line 1 and Line 2 are neither.
Line 1 and Line 3 are parallel since they have same slope.
Line 2 and Line 3 are neither.
PLEASE HELP !
Determine the equation of this line, pitting your answer in the form Ax + By + C = 0, where A B C are intergers.
Answer:
5x + 4y - 20 = 0
Step-by-step explanation:
1. Find the two points given: (0,5) and (4,0)
2. Find the slope of the line:
m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]
3. Find y intercept by plugging in one point into the y-intercept form
y = (-5/4) x + b
0 = (-5/4) (4) + b
b = 5
4. Write out the equation in y-intercept form
y = (-5/4) x + 5
5. Rewrite it in Ax + By + C = 0 form
(5/4) x + y - 5 = 0
6. Since A B C all need to be integers, multiply the whole equation by 4
5x + 4y - 20 = 0
Use long division to divide (6x^2 - 39x -21) / (x -7)
Answer:
How do you divide
x
4
+
2
x
3
+
15
x
2
+
6
x
+
8
x
−
4
?
Algebra Division of Polynomials
1 Answer
Alan P.
Jun 13, 2017
x
4
+
2
x
3
+
15
x
2
+
6
x
+
8
x
−
4
=
x
3
+
6
x
2
+
39
x
+
152
Remainder:
616
Explanation:
Do this division either using "synthetic division" or "long division"
synthetic division
x
4
x
3
x
2
x
1
x
0
usually omitted
1
2
15
6
8
the coefficients
+
−−−
|
−
0
−
4
−
24
−−
146
−−−
608
−−−
product of prior row 3 value and
x
's zero
4
|
1
6
39
152
616
the 4 is the value of
x
that would make the denominator
=
0
x
3
x
2
x
1
x
0
R
again, this is usually omitted
In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
was 12.52 cents per kilowatt hour.
Which function models the average retail price of electricity, f(x), in cents per kilowatt hour, x years after 2010?
A. f(x) - 0.98x + 4.00
B. f(x) = 0.245x + 11.54
C. f(x) = 0.738x + 11.54
D. f(x) = 4.082x + 1962.89
Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.
Learn more about forming equations here:
https://brainly.com/question/11938672
Select all of the TRUE statements about the unit rates.
The ratio 5 : has a unit rate of 35.
The ratio 5 :, , , , has a unit rate of 35.
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
The ratio to has a unit rate of .
The ratio , , , , to, has a unit rate of , , , .
The ratio : has a unit rate of .
Answer:
I think you copied this. there are alot od commas
Step-by-step explanation:
Answer:
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
Step-by-step explanation:
Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie watched. Plan B costs $14 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Samantha watches x per month, and let B represent the monthly cost of Plan B if Samantha watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Answer:
Samantha would have to watch 4 Movies so x=4
Step-by-step explanation:
Solve for the following equation for “f”
Given m
Il n,
n, find the value of x and y.
35°
Answer:
x = 145, y = 35
Step-by-step explanation:
so y is equal to 35 because alternate interior angles are equal to each other (you can search this up if you're confused) and x = 145 because of supplementary angles so I did 180 - 35 = 145. hope this helps!
Lin’s job pays$8.25 an hour plus$10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1.Represent this situation mathematically. If you use variables, specify what each one means. 2.How many hours per week can Lin work? Explain or show your reasoning.
Answer:
20
Step-by-step explanation:
($8.25 x 5 hours) + 10x <= 175
41.25 + 10x <= 175
x =4 that is 4 weeks
so multiple 5 hours by 4 to get 20 hours
that way she is earning 175 per week
Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown
which model represents an amount of sugar equivalent to the amount Tamika used?
A. 5 cups
B. 6 Cups
C. 3 Cups
D. 7 Cups
Answer:
C
Step-by-step explanation:
did da test
Problem solving visual pattern, please help me! Youd be a life saver
BRAINLIEST to correct answer!!
Answer:
5
Step-by-step explanation:
19. Helen has 2 more than twice as many stamps as Gail. If Gail
buys 10 more stamps, she and Helen will have the same
number of stamps. How many stamps does each person have
now?
Answer:
x(Gail)=8 and y(Helen)=18
Step-by-step explanation:
2x+2=y and x+10=y
Plug y in and solve for x
2x+2=(x+10)
2x-x=10-2
x=8
Plug x in and solve for y
(8)+10=y
y=18
I have been wondering this question for quite some time. What is 87 - 45x /3
Answer:
-48
Step-by-step explanation:
we are going to say. 87-45x3=_48
help me plz asap this is 50 points
Answer:
no its not 50 points lier
Step-by-step explanation:
30 28 8 21 15
If two angles are supplementary then their sum is a. 90 b. 180 c. 360 d. 45
Answer:
b. 180°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°
Examples are 90° and 90°, 45°, and 135°, and 60° and 120°
-Chetan K
BRAINLIEST ASAP! help pls
Simplify.
8−4÷2+5⋅6
1. 32
2. 36
3. 54
4. 66
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
Express the ratio as a fraction in simplest form. 10 yards to 10 feet
Answer:
3:1 should be the ratio.
Step-by-step explanation:
please help me with this :(
suppose PQR is rotated 180° about the origin, (0,0). find the coordinates of P', Q', and R'. then sketch P'Q'R'
(type an ordered pair)
P'=___
Q'=___
R'=___
Answer:
I think the way they are telling is that the triangle will move to the third quadrant,
If so, then the coordinates of P'Q'R' will just be the negative of PQR.
there are two numbers whose sum is 496 . One number is thrice the other . what are the numbers?
please explain. with answer
perpendicular slope of y=4/3x+1
Answer:-3/4
Step-by-step explanation:
flip and switch the sign
Answer:
Perpendicular Slope: -3/4
Step-by-step explanation:
The perpendicular slope of a line is the opposite reciprocal.
Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.
Answer:
h
Step-by-step explanation:
b
PLEASE HELP ASAP!!! HOW DO I DO THIS?
For the function below. Find f-1 (x)
Answer:
[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]
I hope I helped you^_^
P2 + 13x + 42
Factorise this please
Answer:
Step-by-step explanation:
STEPS USING FACTORING
a
2
−13a+42=0
To solve the equation, factor a
2
−13a+42 using formula a
2
+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.
a+b=−13
ab=42
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.
−1,−42
−2,−21
−3,−14
−6,−7
Calculate the sum for each pair.
−1−42=−43
−2−21=−23
−3−14=−17
−6−7=−13
The solution is the pair that gives sum −13.
a=−7
b=−6
Rewrite factored expression (a+a)(a+b) using the obtained values.
(a−7)(a−6)
To find equation solutions, solve a−7=0 and a−6=0.
a=7
a=6
[tex]-10n-8=-9n[/tex]
Answer:
[tex] - 10n - 8 = - 9n \\ - 10n + 9n = 8 \\ - n = 8 \\ n = - 8 \\ thank \: you[/tex]
Answer:
[tex] - 10n - 8 = - 9n \\ - 10n + 9n = 8 \\ - n = 8 \\ \boxed{n = - 8}[/tex]
n = -8 is the right answer.Please answer the math problem... I will mark you brainliest
Answer:
x=74º
y=65º
Step-by-step explanation:
53+53+x=180 > 106+x=180 > x=74
50+2y=180 > 2y=130 > y=65
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the ________property of multiplication.
Answer:
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the Commutative property of multiplication.
Step-by-step explanation:
Commutative property is A × B = B × A
So the equation 4 ∙ 5 = 5 ∙ 4 is same as commutative property
Answer:
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the commutative property of multiplication.
Step-by-step explanation:
The commutative property means that the positions of the numbers on each side of the equation can be swapped and both sides would be equal.
You can think of it as A x B = B x A