Answer:
The point of intersection of the two lines is;
(-9,-2)
Step-by-step explanation:
What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points
For the first line;
The general form is
y = mx + b
formula for the slope is;
m = (y2-y1)/(x2-x1)
The points (3,4) and (-1,2)
m = (2-4)/(-1-3) = -2/-4 = 1/2
So the equation is;
y = 1/2x + b
To get b, let us substitute coordinates of the first point;
4 = 1/2 * 3 + b
4 = 3/2 + b
b = 4 - 3/2
b = (8-3)/2 = 5/2
So the equation is;
y = 1/2x + 5/2
For the second line;
Slope;
m = (-4-0)/(-6+12) = -4/6 = -2/3
The equation is;
y = -2x/3 + b
Let us substitute the first
0 = -2/3(-12) + b
0 = 8 + b
b = -8
The equation is;
y = -2x/3 - 8
Now , we want to get the intersection point
To do this, we have to solve both equations simultaneously;
Since we have an expression for y in both cases, let us equate both y
-2x/3-8 = 1/2x + 5/2
Multiply through by 6
-4x - 48 = 3x + 15
-4x-3x = 15 + 48
-7x = 63
x = 63/-7
x = -9
To get x;
Recall;
y = -2x/3 - 8
y = -2/3(-9) - 8
y = 6 - 8
y = -2
Use Distributive Property to write an equivalent expressions 7(x+6)
Answer:
7x+42
Step-by-step explanation:
WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? _ mi
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the runner is running at a rate of 12 mph for 15 min, hence:
speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.
Hence:
Speed = distance/time
12 mph = distance/0.25 hours
distance = 3 miles
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
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Please help ill give brainliest to THE RIGHT ANSWER
Answer:
It is B
Step-by-step explanation:
Hope I helped
Okay so I need to know what 1 + 1 =?
i know but yes i need to know it
Answer:
There are 1,035,779,173,390 different ways to answer 1+1
Step-by-step explanation:
I will give 4 examples
1. quentin trembley, the president on the negative 12 dollar bill.
2. d e s p a s i t o
3.(╭☞・◡・)╭☞ m0nkE bOnK
4. the cold heart of russian winter
Determine the intercepts of the line
PLEASE HELP I SUCKKK AT THIS
A store owner has 7.41 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain with how much left over?
Which expression is equivalent to 5(8+4)
A 8(5+4)
B) 4(8+5)
C) 5(9+3)
D) 5(10+1)
Answer:
5(8+4)=60
Step-by-step explanation:
To find the answer answer each one to get 60
A. 8(5+4)=64
B. 4(8+5)=52
C. 5(9+3)=60
D. 5(10+1)=55
So that means C is correct.
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest how much money will tameka pay in interest
Answer:
$15 in interest
Step-by-step explanation:
sorry if it is wrong. I found 5% of 300 which is 15.
$15 money will tameka pay in interest.
What is interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Here, we have,
formula: I = Prt.
here, we get,
given that,
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.
P=$300
r=5%
t=1year
so, I =$300*5%*1
=$15
Hence, $15 money will tameka pay in interest.
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#SPJ5
x(-6) + 19
need help
Answer:
-6x + 19
Step-by-step explanation:
perform multiplication first.
Does this equation have one solution, many solution or no solutions? and why? I need to show my work
Answer: I worked it out on a piece of paper then attached it. It is a No Solution
Step-by-step explanation:
Answer:
−12x−4=−(x+1)
−12x−4=−x−1
−11x−4=−1
−11x=3
and this is your answer x=−3/11
According to the weather report, there is a 25% chance it will snow today. It snows today. Choose likely or unlikely to describe the probability.
a
Likely
b
Unlikely
Answer: Unlikely
Step-by-step explanation: Given that there’s a 75 percent chance it will not snow, it can be considered unlikely.
A price is increased by 32% and is now 792.
Work out the original price.
Answer:
538.56
Step-by-step explanation:
792divide100=7.92x32=253.44
792-253.44=
can someone plz help with this? geometry:)
Answer:
One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.
We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x
2(x+3)= 3x + 1 First, distribute the 2 to each term in x+3,
the result should be:
2x + 6 = 3x+ 1 then subtract 2x from both sides
-2x -2x
the result should be :
6 = x + 1 subtract 1 from both sides
-1 -1
the result should be x=5
plug that into the equations and JN= 5+3, JL=15+1
The two correct options are
NM = 8 ( both of the diagonals are equal to eachother )
JL = 16
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
What is "$96 spent in 4 hours" written as a unit rate in minutes?
A)$1.60/minute
B)$0.53/minute
C)$0.40/minute
D)$0.30/minute
Wait hold on it should be C I think correct me if I'm wrong doe-
Answer:
d30hdgufuhzckvjxgtxigfyytexygisttsfuztrguerjhagj
CE=46 and GE=3x-10 solve for x
Answer:
X = 11
Step-by-step explanation:
2(3x-10) = 46
6x = 66
X = 11
Simplify each ratio to lowest terms.
Answer:
This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form
Step-by-step explanation:
Answer:
ericyikaimiao said she/he is right
marissa invested $800 at 6% per year compound interest for 3 years
Answer:
Her total would be: $944
Step-by-step explanation:
A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high, what is its surface area?
Answer:
36
Step-by-step explanation:
A Fahrenheit thermometer shows that the temperature is 22 degrees below zero.
What is the volume of a prism with a length of 3 units, a width of 6 units, and a height of 2 units?
Answer:
36 units³
Step-by-step explanation:
The volume of a rectangular prism is given by
Volume, V = l * w * h, where
V = volume like I had stated
L = length of the prism
w = width of the prism
h = height of the prism
Going by the aforelisted parameters, we can apply them to the formula to get our answer straight
Volume, V = 3 * 6 * 2
Volume, V = 36 units³
Therefore, the volume of the prism is 36 units³
Select the fraction that is NOT in lowest terms . which of these fractions is not in lowest term?
3/14
15/23
10/63
14/21
Answer:
14/21
Step-by-step explanation:
14/21 is divisible by 7, and can reduce to 2/3
The triangle below are similar find the lengths of the missing side.
Answer:
The answer is b =9
Step-by-step explanation:
20:12=15:b
5:3=15:b
cross multiply
5×b=3×15
5b=45
divide both sides by 5
b=45÷5
b=9
The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?
HELP ITS DUE IN 15 mins!!!!! and i need help:(
Answer: Fred's Slope
Step-by-step explanation:
Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.
Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out
Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred
Anne's slope is 4.75
sams slope is 2/11
and fred’s is 5
f(x) = x^2. What is g(x)?
please answer quick i’ll give brainliest
Answer:
-x² - 3
Step-by-step explanation:
If a function is concave down, that means the x value is negative.
Hence we know that it should be -x²
The graph is translated 3 units down
Hence:
-x² - 3
How many squares does it take to make a square?
Answer:
aaalot I'm guessing I'm stu.pid
1 000 sheets of computer paper for $8.95 find unit rate
A line with a slope of 3 passes through the point (-1, 2).
Write an equation for this line in point-slope form.
Answer:
y-2=3(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3(x-(-1))
y-2=3(x+1)
Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom have
dimes
quarters
Answer:
32 quarters and 3 dimes
Step-by-step explanation:
you could do 4 x 8 to get to the 8 dollars so 4 x 8 = 32 so that would be 32 quarters now you got 30 cents left that will be the dimes so 3 dimes