Answer: C=(44,29).
Step-by-step explanation:
The given points are A = (-4 , -7) and B = (12 , 5).
It is given that Point B is 1/3 of the way from A to C.
AB:AC=1:3
AB:BC=AB:(AC-AB)=1:(3-1)=1:2
It means point B divides the line segment AC in 1:2.
Let coordinates of C are (a,b).
Section formula: If a point divides a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using section formula, we get
[tex]B=\left(\dfrac{1(a)+2(-4)}{1+2},\dfrac{1(b)+2(-7)}{1+2}\right)[/tex]
[tex](12,5)=\left(\dfrac{a-8}{3},\dfrac{b-14}{3}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{a-8}{3}=12[/tex]
[tex]a-8=36[/tex]
[tex]a=36+8[/tex]
[tex]a=44[/tex]
[tex]\dfrac{b-14}{3}=5[/tex]
[tex]b-14=15[/tex]
[tex]b=15+14[/tex]
[tex]b=29[/tex]
Therefore, the coordinates of C are (44,29).
one-fourth of a number and 6 is the same as 3 subtracted from the number itself
(turn the sentence into an equation)
Answer:
I'm not the greatest at math but I'll see if I can get this right.
I'm super sorry if this is wrong
Solve for x. 7x−9 11
Answer: x < 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
7x−9<12
Step 1: Add 9 to both sides.
7x−9+9<12+9 =7x<21
Step 2: Divide both sides by 7.
7x/7 < 21/7
Answer: x < 3
Endpoint: (-4,-10), midpoint (5.-8)
What is the other endpoint?
Answer:
Step-by-step explanation:
(x - 4)/2 = 5
x - 4 = 10
x = 14
(y - 10)/2= -8
y - 10 = -16
y = -6
(14, -6)
Simon and Iris earned money by selling candy. They earned $12 by recycling. They split the total and each got $100. How much money did they earn selling candy?
Answer:
188
Step-by-step explanation:
There is a 12.5% tax on items purchased in Arlington. What is the percent of the original price you will pay? Write your answer as a percent, decimal and fraction in the space below.
I have to pay 12.5% more than the original price.
The decimal representation is 0.125.
The fractional representation is 112.5/100.
What is the percentage?The percentage is the value per hundredth.
Given there is a 12.5% of tax on items purchased in Arlington.
Assuming the original price of a product is 100 dollars.
∴ The price of the product with 12.5% of tax is,
= (100 + 12.5)/(100)×100.
= 112.5 dollars.
∴ I have to pay 112.5 dollars for every 100dollar product.
So, the percentage of the original price that I have to pay is (112.5/100).
= 12.5%.
The decimal value of 12.5% is (12.5/100) = 0.125.
The fractional representation is 112.5/100.
learn more about percentage here :
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1.Phone company A charges $20 a month and $0.10 per minute of phone calls. Phone Company B charges
$15 a month and $0.20 per minute of phone calls. How many minutes of phone call will it take for
Company A to cost the same as Company B?
I might be wrong but I think it's 50 minutes.
$0.10 x 50min = $5
$20 + $5 = $25
$0.20 x 50min = $10
$15 + $10 = $25
So, it's 50 minutes.
can someone help me with factoring by grouping please show step by step
problem: x^2+4x+3
Answer:
(x+3) ● (x+1)
Step-by-step explanation:
x^2 + 3x + x + 3
x ● (x+3) + x +3
(x+3) ● (x+1)
Read the passage. Cooperative Trees We often think of trees as simple objects that provide us with things we need, such as lumber, shade, or fruit. Yet trees are far more complex—and social—than we recognize. An underground network of fungi, which some have called the "wood-wide web," connects the roots of numerous trees in a forest. Using the network, trees can communicate with and support one another. They may share water, carbon, nutrients, and protective compounds with one another. Scientists believe that one explanation for this phenomenon may be a "source-sink model." According to this theory, trees growing in excellent conditions with many resources transfer these resources to trees growing in less favorable conditions. In this way, trees in a forest ensure the health of the entire community by working cooperatively. What is the main idea of the passage?
Answer:
Trees have an underground network of fungi that help them support each other.
Step-by-step explanation:
What is the answer for 5-(6-3) ?
Answer: 2
Step-by-step explanation:
5-(6-3)
5-(3)
2
Answer:
2
Step-by-step explanation:
First you need to take away the 5 and set it to the side then take the (6-3) and subtract the 3 from the 6 which gives you 3.
Next you need to subtract 3 from 5 giving you the answer of 2.
y= 3/2 x -3 how do you do this on a graph
You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden?
Answer:
20 yards
Step-by-step explanation:
The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.
From here we simply need to square root both sides which gives us:
x=20
Therefore the length of one side of the garden is 20 yards.
Hope this helped!
Which sequence shows the numbers in order from least to greatest? A. -2/3 , 1/5 , -3/4 B. 1/5 , -2/3 , -3/4 C. -3/4 , -2/3 , 1/5 D. -2/3 , -3/4 , 1/2 The negative signs are only for the numerators. That what it showed. Sorry I don't know how to put a picture with it.
Answer:
C. -3/4, -2/3, 1/5
Step-by-step explanation:
Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.
-2/3 = -0.6666666 (the 6 goes on forever)
-3/4 = -0.75
1/5= 0.20
Then, you put them in order.
-3/4 would be the least .
Followed by, -2/3
Finally, 1/5
What is the side length of one side of the pentagon?
Find the product: (-3)(-100) *
Answer:
300
Step-by-step explanation:
(-3)(-100)= -3 x -100
A NEGATIVE MULTIPLIED BY A NEGATIVE WILL ALWAYS GET A POSITIVE SO MAKE -3 INTO 3 AND TURN -100 INTO 100.
Now you have 3 x 100 which gets you 300
(2,1), (-4,5), (1,7), (2,-3), (-1,2) Find domain and range.
Yesterday Lou and $12.76 selling lemonade and $4.87 selling ice pops at his stand today bought two pizzas for five dollars each how much money does he have left
Answer:
7.89
Step-by-step explanation:
Subtract on calculator bro!
Answer:
its 7.63
Step-by-step explanation:
Alicia has 3/4 bag of cat food. Her cat eats 1/10 of the food per week. how many weeks will the food last
Answer:
It would last 7 1/2 weeks if i'm correct
Answer:
the food will last for 7 weeks
Step-by-step explanation:
so 3/4 bag of food is 75 % of cat food and thats out of 100 so 1 out of 10 is basically 10 out of 100 and since there is only 75 ,10 goes into that 7 times so its 7
A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?
Answer:
3.75 hours, hope this helps
4/x=28/70
Pleaseeeee hwlpp
Answer:
x= 10
Step-by-step explanation:
hay esta la respuesta:)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{4}{x} = \frac{28}{70}} [/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{28x = 4 \times 70}}[/tex]
Multiply the numbers: 4 and 70
[tex] \longrightarrow{ \sf{28x = 280}}[/tex]
Divide both sides by 28
[tex] \longrightarrow{ \sf{ \frac{28x}{28} = \frac{280}{28}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 10}}[/tex]
Hope I helped!
Best regards! :D
State the domain and range for the following relation.
{(-4,4), (1, 2), (0, 3), (3, 2)}
Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
What’s the slope between (0,-2),(-5.-3)
Answer:
1/5
Step-by-step explanation:
(0, -2) & (-5, -3)
slope formula: (y₂ - y₁) / (x₂ - x₁)
(-3 + 2) / (-5 - 0) =
(-1) / (-5) =
1/5
Answer:
1/5
Step-by-step explanation:
1. Put numbers into Slope Formula
Slope formula is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]When you put the number in, the equation is [tex]\frac{-3+2}{-5-0}[/tex]2. Solve formula to get [tex]\frac{-1}{-5}[/tex]
3. Simplify to get 1/5
Write in scientific notation 0.0053
Answer:
5.3 times 10^-3
Step-by-step explanation:
Answer:
5.3×10-3
Step-by-step explanation:
(x divided by 3) - 6. it’s a divided by sign i just don’t have it. but written in a word phrase
Answer:
Step-by-step explanation:
- x over 3
.764 as a percent .
Answer:
76.4%
Step-by-step explosion:
-2x + 10 = -2(x + 5)
Ox= 5
O = -5.
O infinitely many solutions
O no solution
Answer:
infinitely many solutions
Step-by-step explanation:
they both are the same expression just in different forms.
Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
Answer:
f(4.5) I think
Step-by-step explanation:
Answer:
–10, –7.5, –5, –2.5, …
Step-by-step explanation:
itz the answer
3(5m – 7) + 4 = 8m + 18
Can you also explain it. I stuck on where the +4 goes
Answer:
m=5
Step-by-step explanation:
Firstly we know we are solving for M.
So we start like this.
[tex]3(5m - 7) + 4 = 8m + 1 [/tex]
use the distributive property to multiply 3 by 5m-7=
[tex]15m - 21 + 4 =8m + 18[/tex]
Add -21 and 3 to get -17
[tex]15m - 17 = 8m + 16[/tex]
subtract 8m from both sides
[tex]15 m - 17 - 8m = 18[/tex]
combine 15m and -8m to get 8m
[tex]7m - 17 = 18[/tex]
Add 17 to both sides
[tex]7m = 18 + 17[/tex]
Add 18 and 17 to get 35
[tex]7m = 35[/tex]
Divide both sides by 7
[tex]m = \binom{35}{7} [/tex]
Divide 35 by 7 to get 5
[tex]m = 5[/tex]
Is 14.875 a irrational number?
Answer:yes
Step-by-step explanation:it is
Answer:
Rational
Step-by-step explanation:
Decimals are rational
..unless its something like pi because it’s infinite.
|2x− 3/4| =5 6/7 FIND ANSWER CORRECT = BRAINLIEST NO WORK NEEDED
Answer:
x=-99/56 or x=141/56
Step-by-step explanation:
the total cost to take the ferry to green island is $12 fee for the car plus $3 for each passenger in the car
Answer:I think it’s 15 dollar
Step-by-step explanation:
