Answer:
A = 12/5 units
Step-by-step explanation:
USING ALGEBRA:
We can find the intersection point between these two lines;
y = 3x - 6
y = -2x + 8
Set these two equations equal to each other.
3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Find the y-value where these points intersect by plugging this x-value back into either equation.
y = 3(14/5) - 6
Multiply and simplify.
y = 42/5 - 6
Multiply 6 by (5/5) to get common denominators.
y = 42/5 - 30/5
Subtract and simplify.
y = 12/5
These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.
Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.
The height of the triangle is 12/5 units.
Formula for the Area of a Triangle:
A = 1/2bh
Substitute 2 for b and 14/5 for h.
A = (1/2) · (2) · (12/5)
Multiply and simplify.
A = 12/5
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
Last Week, Angus studied for 6 1/3 hours. This week. he plans to study 1/2 as much as he studied last week. How many hours does Angus plan to study this week?
Answer:
3 1/6
Step-by-step explanation: I multiplied 6 1/3 and 1/2 together and I got 19/6
19/6 is an improper fraction so you would divide 19 divided by 6 would give you 3 1/6!
Please help me I'm trying to get this done and can you please explain it!
Need help ASAP!! I Can give brainlist for the first right person.
Answer:
Step-by-step explanation:
1. 720,000
2. 119.50
3. 17.68
4. $75
5. 77.74
pls answer the question
please help me on my math please i dont wanna fail
Answer:
5. 78.54
6. C
7. 254.47
8. 50.25
Step-by-step explanation: :) Remember, the radius is just half of the diameter. So if the Diameter is 18, the radius is 9.
I'LL GIVE BRAINLIEST
A or D
Answer:
d
Step-by-step explanation:
Please help me I will give you the brain thing and extra points please hurry tho.
Answer:
I would recommend the website symbolab.com it really helps
Step-by-step explanation:
Answer:
<A = 115 degrees, <C = 50 degrees
Step-by-step explanation:
<A+<B+<C = 180 degrees
substitute with the given values: 4x - 13 + 15 + x + 18 = 180 degrees
Solve: x = 32 degrees
Substitute back in for <A : 4(32) - 13 = 115 degrees
Substitute back in for <C: 32 + 18 = 50 degrees
Can someone help me out? (serious answers only)
Answer:
40
Step-by-step explanation:
Good Luck
PLEASE HELP ASAP
Sorry if it’s hard to read but I have to turn this in in a few minutes and I don’t get it, you have have to sort them in 5 different piles
Answer:
If it goes through the orgin
Step-by-step explanation:
a linear function contains the following points.
what are the slope and y-intercept of this function?
Answer:
B
Step-by-step explanation:
the slope is -3
Need help with Slope
Answer:
(0,-1)
Step-by-step explanation:
...
Answer:
C
Step-by-step explanation:
you see the point at the bolded vertical line, yea thats the y intercept which means its (0,1)
What is "four thousand, seven hundred two" in standard form?
Answer:
the answer is 4,702
Step-by-step explanation:
if you didn't know standard form is letter basically written into numbers so what it means by "four thousand, seven hundred two" in standard form it wants you write it in number form there is a better way to explain this but im in a little rush
what is the rate of change when the numbers are (2,11) and (5,17)? show work
Answer:
m=2
Step-by-step explanation:
17-11 over 5-2 equals 6 over 3, which simplifies to 2
Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. Write an inequality that represents x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account.
(Compound) Probability: Rolling a die and getting a number other than 4 twice in a row. Pls help :'D
Answer: 1/36
Step-by-step explanation:
you get 1/6 for the chance of getting the nunmber, and 1/6X1/6=1/36
Which equation has a constant of proportionality equal to 7?
A. 4y = 28x
B. 7y = 28x
C. 28y = 4x
D. 28y = 7x
The solution is Option A.
The equation which has a constant of proportionality k = 7 is 4y = 28x
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
Now , the equation is
4y = 28x
On simplifying the equation , we get
Divide by 4 on both sides of the equation , we get
y = 28x/4
y = 7x
y = 7x is of the form y = kx where the value of k is 7
Therefore, the value of k is 7
Hence , the value of proportionality constant is 7
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Please help me I have to turn this in by 5:00 I will give you the brain thing and extra points. 1/5
Answer:
answer is D of course
Step-by-step explanation:
the sum of exterior angle in any polygon is 360°, all the answers above is less than 360°, it's not complicated that much
Which set of number shows a proportional relationship?
Answer:
D
Step-by-step explanation:
Help with question, best answer gets brainliest
Answer:
I think B
Step-by-step explanation:
I need help somebody please help me i'm trying to pass my classes. & take care of my mom please help me.
help answer all these pls
if so u get brainlyest
PLS HURRY
Elspeth knows that Pi times r almost-equals 9.42 centimeters. What would she need to do to find the circumference?
She could multiply 9.42 by 2.
She could multiply 9.42 by Pi.
She could divide 9.42 by 2 to find the radius, and then square the radius.
She could divide 9.42 by Pi to find the radius, and then multiply 9.42 by the radius.
Answer:
First one
Step-by-step explanation:
Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Which student got the most questions correctly.
(if you answer this may you please show your work)
Answer:liz scored better
Step-by-step explanation:
Liz scored better because how to find a percentage is dividing whatever two numbers you have by each other so it would be 47 / 50 which equals 0.94 then you times it by 100. Which would equal 94% which is better than a 92 which means Liz got the higher score
Simplify the expression.
–2.5(1 – 2n) – 1.5n
Answer:
9.5n - 2.5
Step-by-step explanation:
-2.5(1 - 2n) - 1.5n
distribute the -2.5 into the ( )
-2.5 + 10n - 1.5n
combine like terms
-2.5 + 9.5n
9.5n - 2.5
Hope this Helps!!!
Matthew has lived in NY for 10 years. Matthew earns $17.25 per
hour. He worked 5.8 hours on Friday, 4.5 hours on Saturday, and 8
hours on Sunday. How much money did Matthew earn in all on Friday,
Saturday, and Sunday?
Answer:18.3
Step-by-step explanation: 18.3 because 5.8 + 4.5 =10.3 then add 8 its 18.3
Answer:
$315.68
Step-by-step explanation:
We would first add up all of the hours, so that would be 5.8+4.5+8 to get 18.3 hours. Since it is saying $17.25 per hour we would multiply 17.25 and 18.3 to get 315.675. But, because we are dealing with money, our answer would be rounded to the nearest hundredth. So, Mathew earned $315.68 on Friday, Saturday, and Sunday altogether.
find the slope of the line. y = 5/3x + 4
Answer:
slope= 5/3
Step-by-step explanation:
y=mx+b
slope=m
your welcome
Explain how (-3) - 5 is equal to -8
Answer:
You do -3- 5=-8
Step-by-step explanation:
You do -3- 5=-8
Its just like 3+5=8
But it is in negative so it would be negative 8. But this only works in addition and subtraction. In division and multiplication it is different.
Answer:
It is equal to -8 cuz...
Step-by-step explanation:
(-3) - 5 is -8 how it's cuz a negative number minus a positive number it's gonna be a negative number.
but if a positive number minus a negative number it's gonna be a positive number.
and a negative number minus a negative number it's gonna be a positive number.
Hope this helps....
can be brainiest...
Find the scale factor that was used in the dilation shown.
The scale factor that was used in the dilation could be 1.5 units.
What is scale factor?Suppose a figure (pre image) is dilated (dilated image) by scale factor of k. So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The quantities that are squares or multiple of linear things twice grow by square of scale factor.
So area of first figure = k² × area of second figure
Similarly,
The Volume of first figure = k³ × volume of second figure.
Since the scaling is done by product of some constant, that constant is called scale factor.
Then we have:
K = 4/6
K = 2/3
K = 1.5 units.
Thus, scale factor is the ratio of the new measurement to the old measurement therefore, the scale factor that was used in the dilation could be 1.5 units.
Learn more about dilation here:
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PLS HELP ASAP 30 POINTS
Nine grapefruits cost $4. Use the ratio table to determine how many grapefruits can be bought for $20.
Answer:
D. 45
_________