We want to find the slope of the line that connects points C' and D'. We will find that the slope is -3/7.
First, we start with the points:
C = (-5, 8)D = (2, 5)Now we create points C' and D' by translating points C and D to the left by 6 units, this means that we need to subtract 6 in the x-value of each point, so we will have:
C' = (-5, 8) + (-6, 0) = (-5 - 6, 8) = (-11, 8)D' = (2, 5) + (-6, 0) = (2 - 6, 5) = (-4, 5)And we know that if a line passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Then the slope that connects points C' and D' is:
[tex]a = \frac{5 - 8}{2 - (-5)} = \frac{-3}{7}[/tex]
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write the general form of the equation of a line that is parallel to the given line and passes through the given point.
y= -1/3x+2 (-4,0)
Answer:
y = -1/3x - 4/3
Step-by-step explanation:
y = -1/3x + b
0 = -1/3(-4) + b
0 = 4/3 + b
-4/3 = b
Which describes the solution of the inequality y > −15? Select all the points that are part of the solution.
Step-by-step explanation:
y > -15
y is bigger than -15
= -14 , -13 , -12 , -11 , -10 , etc . . .
"Find the total area of the shape"
How should I solve this? The answer is 31.9 cm²
Answer:
31.9 cm² (3 s.f.)
Step-by-step explanation:
[tex]\boxed{area \: of \: sector = \frac{θ}{360º} \times \pi {r}^{2} }[/tex]
∠AOD
= 360° -60° - 120° -45° (∠s at a pt.)
= 135°
Area of shape
[tex] = \frac{60°}{360°} (\pi)({2}^{2}) + \frac{120°}{360°} (\pi)(3^{2} )+ \frac{45°}{360°}(\pi)( 5 {}^{2}) + \frac{135°}{360°} (\pi)(3 {}^{2} )[/tex]
[tex] = \frac{1}{6} (4\pi) + \frac{1}{3} (9\pi) + \frac{1}{8} (25\pi) + \frac{3}{8} (9\pi)[/tex]
[tex] = \frac{4}{6} \pi + \frac{9}{3} \pi + \frac{25}{8} \pi + \frac{27}{8} \pi[/tex]
[tex] = \frac{61}{6} \pi[/tex]
= 31.9 cm² (3 s.f.)
The second term of a geometric progression is 5 and the fourth term is 31.25. Find the
a)common ratio,r, if r is positive
b)first term
c)sum of the first five terms
Answer:
r = 2.5
Sn = 51.55
Step-by-step explanation:
5r^2 = 31.25
r^2 = 31.25/5
r = sqrt 6.25
g(x) =
x + 3, find g(1).
Answer:
Substitute 1 for x.
g(1)= 1 + 3
g(1)= 4
:)
Answer:
g(1) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = x + 3
Step 2: Evaluate
Substitute in x [Function g(x)]: g(1) = 1 + 3[Order of Operations] Add: g(1) = 4Solve for X. 3/4x+7/8=4 1/4 Enter your answer as a mixed number in simplest form in the box.
Step-by-step explanation:
[tex] \frac{3}{4} x + \frac{7}{8} = 4 \frac{1}{4} [/tex]
[tex] \frac{3}{4} x = \frac{17}{4} - \frac{7}{8} [/tex]
[tex] \frac{3}{4} x = \frac{34}{8} - \frac{7}{8} [/tex]
[tex] \frac{3}{4} x = \frac{27}{8} [/tex]
[tex]3x \times 8 = 27 \times 4[/tex]
[tex]24x = 108[/tex]
[tex]x = \frac{108}{24} [/tex]
[tex]x = \frac{9}{2} [/tex]
The value of x in the expression (3/4)x+7/8 = 17/4 is 9/2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, (3/4)x+7/8 = 17/4.
Now to get rid of the denominator LCM of 4 and 8 is 8 so we'll multiply each term by 8.
6x + 7 = 34.
6x = 27.
2x = 9.
x = 9/2.
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helppp please 8th grade algebra 1
Answer:
6x^3+12^2-2x-4
Step-by-step explanation:
It's number four
aquarium 1 contains 18.6 gallons of water. jaythen will begin filling aquarium 1 at a rate of 1.2 gallons per minute. aquarium 2 contains 45.6 gallons of water. palchin will begin to draining aquarium 11 at a rate of 0.8 gallons per minute . after how many minutes both aquariums contain the same amount of water ?
Answer:
2.8
Step-by-step explanation:
there are 84 red marbles for every 14 blue marbles what shows the simplest ratio form
Answer:
I think its 6 because I think its about division
Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and name the postulate you would use. If no, write not possible and tell what other information you would need.
Answer: What the pic tell you what upload a new question with a pic and ill help
Step-by-step explanation:
what is perpendicular to 3x+4y+12=0?
Answer:
y=4/3x-3
Step-by-step explanation:
We can rearrange the equation for y-intercept form:
3x+4y+12=0
4y=-3x-12
y=-3/4x-3
The perpendicular equation would have an inverse slope, so we flip -3/4
y = 4/3x -3
$85 jeans, 7% tax thanks
Answer:
$79.05
Step-by-step explanation:
Simply convert 7% into a decimal which os 0.07. Multiply 0.07 by 85 and subtract it since it's a tax, which means it's deducted. Which will give you $79.05.
A research company surveys people in a community about a new recycling program. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of the number of people who are expected to respond favorably to the survey?
Answer:
5850
Step-by-step explanation:
is the question complete? if so this is the answer pls check if the question has more details
3y2 + 4ab + 7y2 + ab
Answer:
10 y^2 + 5ab
Step-by-step explanation:
3y^2 + 4ab + 7y^2 + ab
Combine like terms
3y^2 + 7y^2 + 4ab +ab
10 y^2 + 5ab
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
Step-by-step explanation:
(-2, 0) (0, -2)
(-2 - 0)/(0 + 2) = -2/2= -1
My question is in the picture, I’ll give you a BRAINLIEST and your getting rewarded 50 POINTS.
Answer:
The form for a point-slope equation is y-y1=m(x-x1), where ”m” is the slope and (x1,y1) is a point on the graph. Substituting in the slope and point, the equation is y+7=-4(x-2).
:)
Question 6
The combined weight of 5 student back packs is 36.9 pounds. What is the approximate weight of 1 back pack?
Answer:
The approximate weight of 1 student back pack is 7.38 pounds.
Step-by-step explanation:
We have to find the unit rate of one back back. All we need to do is divide the 5 backpacks by the number of pounds, so:
36.90 ÷ 5 = 7.38
Answer: The approximate weight of one back pack is 7.38.
Step-by-step explanation: Divide the combined weight by 5. Hope this helps.
PLEASE HELP!!!!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!
A store buys a TV for $100. They sell it for a 70% mark-up. What is the new cost of the TV?
Answer:
170
Step-by-step explanation:
Since the TV is worth $100 initially but has a 70% markup, it means they increased the price by the percent markup
100 x .70 = 70
100 + 70 = $170
The new cost of the TV sold at this store is equal to $170.
Given the following data:
Cost price = $100Markup = 70%To determine the new cost of the TV sold at this store:
How to calculate markup price.We would calculate the markup price by multiplying the cost price by the markup.
[tex]Markup\;price = \frac{70}{100} \times 100\\\\Markup\;price = 0.7\times 100[/tex]
Markup price = $70
Now, we can find the new cost of the TV:
[tex]New\;cost = Markup\;price + Cost\;price\\\\Total\;cost = 70 + 100[/tex]
Total cost = $170.
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if an 8 pound bag of rice cost $9.60, what is the cost of 1 pound of rice?
Answer:
1.20 a bag
Step-by-step explanation:
Divide 9.60 by 8
Please help me with this math question!
Answer:
175 to 1
Step-by-step explanation:
What should be the first step in adding these equations to eliminate y? 12x-2y=-1
Answer:
just click the picture.
Step-by-step explanation:
BRAINLEST please I need BRAINLEST
$75, 12.5%, 1 year simple interest
Answer:
$9.38
Step-by-step explanation:
I think you want the interest right?
so then 75 * 0.125 * 1 = 9.375
rounding it gives 9.38
1. 3 − = 9
2. − 5 = 2
3. − = 16
4. 2 − = 5
5. − 3 = 4
Answer:What is the simplified form of each expression? A 9−2. 9-2 = 1. 92 ... Problem 4. Problem 3 continued. Problem 2. B. 1 x. −5. 1 x -5 = 1 , x-5.
Step-by-step explanation:
It was -12F last night. The weatherman predicts that it will be 25 warmer by noon. What will the temperature be by noon?
Answer:
13°F
Step-by-step explanation:
-12+25
is the same as
25-12
which gives you 13
Sara is saving money to but a new Iphone. Her saving habit is modeled by the function S(w)=20w+15,where w is equal to the number of weeks. write a statement that describes what S95)=115 means
Answer:
It means that when Sara save money for 5 weeks, she will get a total amount of 115 money.
Find the m The Measure of the exterior angle M is ?? Degrees
Answer:
m<M is 140
Step-by-step explanation:
180=90+50+x 90=50+x 40=x
180-40=140
Answer:
Step-by-step explanation:
By the External Angle of a triangle theorem:
it is 90 + 50
= 140 degrees.
Jennifer is renting a bicycle to ride along the beachfront.the rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equeation represents the total rental charges for the bicycle ,T.if Jennifer rents it for n hours?
Answer:
T=1.75n+3
Step-by-step explanation:
all i did was combine the terms together. T is the total it costs for the initial rental charge (3) plus the number of hours times 1.75
look at that attachment and help me, please
The original price of the phone was about $319.80.
Fill in that number for p to get your answer.
I need help with these questions. 1
Answer:
first question : I think it's corresponding angle
second question : is lines AD and GH ,b/c skew means two lines that are not parallel and don't intersect
Step-by-step explanation:
HOPE THIS HELPS
