The y-intercept of the line is 1
Using the slope - intercept relation :
y = bx + cc = Intercept; b = slope point (2,7)Substituting the values into the relation :
7 = 3(2) + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the y-intercept of the line is 1.
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Solve 4 - 5a + 3b where a = 6 and b = 2.
The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of the original equilateral is decreased by 20%, resulting in triangle DEF, how much greater is the area of triangle ABC than the area of triangle DEF?
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]
[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]
[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]
Now, comparing areas:
[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]
[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25
The area of ΔABC is 2.25x greater than the area of ΔDEF.
PLEASE HELP ASAP!!!!
Answer:
y=7
Step-by-step explanation:
Since they are all congruent angles this means that the sides are equal too.
Ashley solved the inequality as shown below. Which of the following describes her mistake?
1st step 6-4(6n+7)≥122
2nd step 6 -4 to the 6n and 7(6n+7)≥122
3rd step 6-24n-28≥122
4th step -22 is dashed out -24n≥122-22
5th step 24n/24≥122/24
6th step n=-4.17
A. Ashley incorrectly distributed the -4.
B. Ashley incorrectly combined her like terms.
C. Ashley incorrectly moved the constant to the right side.
D. Ashley incorrectly divided.
URGENT PLEASE!! I’ll give you brainliest! You just have to find x
Step-by-step explanation:
3(x+2)-(2x-1)=4(3-x)
3x+6-2x+1=12-4x
3x-2x+4x=12-6-1
5x=5
x=1
Answer:
x=1 2/5
Step-by-step explanation:
3x+6-2x-1=12-4x
x+5=12-4x
-5 -5
x=7-4x
+4x +4x
5x=7
/5 /5
x=7/5
x=1 2/5
Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.
Answer:
$125,000
Step-by-step explanation:
the cost of the home = (10,000/8)*100 = $125,000
Answer:
125,000
Step-by-step explanation:
NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)
Answer: 9 ab is the area of the garden.
No scale or dimensions are given, so
Estimating to get a practical, reasonable answer:
Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet
and the area of the garden to be about 4400 square feet, rounding up.
OR
Using a metric standard of 2 meters, The area of the red triangle would be 54m²
The area of the garden would be about 500m²
Step-by-step explanation:
The area of the red triangle is [tex]A = \frac{ab}{2}[/tex] That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.
The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.
Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.
The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.
If the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).
Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet
OR
Using a metric standard, estimate a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²
The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²
Answer: 5400
Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.
So, The area of the triangle = 1/2 x b x h = b x h/2 = 120 x 90/2 = 10800/2 = 5400
1. The total cost of 3 cups of hot chocolate is $8.25. Assume the total cost
of hot chocolate y varies directly with the number of hot chocolate
ordered x. What is the cost of one hot chocolate? *
O A. $0.36
O B. $8.25
O C. $2.75
O D. $3.00
Answer:
C) $2.75
Step-by-step explanation:
8.25/3 = 2.75
Answer:
C. $2.75
Step-by-step explanation:
3 cups of chocolate and each is $8.25. To solve this, the equation would be:
$8.25/3
This is equal to $2.75, so that is the answer!
( Also, 2.75 * 3 = 8.25, so it's correct! )
A liquid is 45°C. The temperature needs to be reduced by 3/8 of the current value. What does the new temperature need to be?
Answer:
28.125 degrees
Step-by-step explanation:
3/8 of 45 is 16.875
45-16.875=28.125
10x = 10,000?
What is It?
Answer:
x = 1000
Step-by-step explanation:
To solve for x, you do the same thing to both sides to isolate x.
To isolate x in this equation, you divide both sides by 10.
10x = 10,000
10x/10 = 10,000/10
x = 1,000
clout chaser don’t use beauty for hype
Beauty is hard to accept when you are seeing it in yourself. This is a valid question to ask, however on this sight not exactly. They obviously believe they are not ugly and other people are saying they are. Models use their beauty for hype so it's not a bad thing. In this case all you are doing is giving this person more attention. Without you this wouldn't have been any of my concern. Instead of posting about someone else keep it to yourself because what you have to say about them is irrelevant. This is a homework site so to slow down the pace of things that aren't don't post stuff like this because you are just adding onto it. Thanks for the points have a great day god bless.
ANYONE PLS HELP MEEEE!!!!!!!
Answer:
Step-by-step explanation:
Town B breaks the population down to men women and children. That has meaning, although I did not check to see if the total is the same as what is stated above the total.
For the second question, the answers in order are
does not
cannot
does not.
You can't add things that do not have the same meaning.
does
can
does
You can add these 3 numbers together because all three numbers tell something about the people in town B
The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is
closest to the perimeter of the shape? (The dashed line is not a part of the perimeter.
(1) 56.1
(2) 44.6
(3) 38.3
(4) 32.5
Answer:
The perimeter of the shape is 32.5
Step-by-step explanation:
Since the dashed line is not a perimeter,
we add the circumference of the circle plus the 3 sides of the rectangle
The circumference is of the half circle with its diameter being the opposite side of the rectangle
The opposite side is the length 10
So the radius is half of this which is 10/2 = 5
The circumference of the semicircle is thus;
pi * r = 22/7 * 5 = 15.71
full circle is 2 * pi * r
semi is half of full so we divide formula by 2
So let’s add up
15.71 + 10 + 3.4 + 3.4 = 32.51
HELP ASAP WILL MARK BRAINLIEST
i need help -45=-155+x
Answer:
x = 110
Step-by-step explanation:
Which expression makes the equation true for all values of x?
60x- 12 = 6(__?_)
who wants to help me I need someone. who has a model test can text
me the tests by taking a picture and I will send my phone number please help me I will help u too
Answer:
what's the question.
Step-by-step explanation:
lol
Answer:
whats the question of the test
Step-by-step explanation:
tonya bought a jacket for $36.63, a pillow for $12.75, and a baseball cap for $14.25. she paid $60 and the rest she borrowed from her friend. if tonya got $6.37 in change from the cashier, how much did she borrow from her friend to pay for all the items?
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months early. The early redemption fee for the cd is 3 months' interest on the original principal. What is the periodic interest rate of the cd
Answer:
The money she will end up earning in interest on the cd = $11,352.90
Step-by-step explanation:
The formula for getting the accumulated amount(compounded) is;
[tex]A =P(1+\frac{r}{n})^n*t[/tex]
Where
A = Accumulated amount
P = principle (deposit)
r = interest rate and
n = no of times interest applied per time period.
The interest is compounded quarterly so in one year it will be 4 times
In 5 years
n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)
A = [tex]7100(1+\frac{2.8}{100} )[/tex]^17
= 7100( 1 + 0.028)^17
= 7100(1.028)^17
= 7100 * 1.599
= 11,352.90
Therefore the money she will end up earning in interest on the cd = $11,352.90
u+3.65=8.33 solve for u.
Answer:
Use an algebra calculator ;)
Step-by-step explanation:
it always works for me
Answer: u =4.68
Step-by-step explanation:Move all terms not containing u to the right side of the equation
Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get through 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?
Answer:
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=23[/tex]
Total number of shirts finished by Laura [tex]=23[/tex]
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina [tex]=2t+15[/tex]
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura [tex]=3t+11[/tex]
Therefore,
[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]
So,
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]
Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]
Help please
Simplify the expression: (a^5)^3 *
A.a^8
B.a^2
C.a^15
D.a^(-2)
D
Step-by-step explanation: im smart
True or False. Exponential Functions will create a straight line on a graph
Answer:
False
Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.
is -10 a rational or irrational number
Answer:
It's written as a ratio of two integers, so it's a rational number and not irrational.
...
Irrational and Real Numbers.
Type of Decimal Rational or Irrational Examples
Terminating Rational (or ) (or )
Nonterminating and Repeating Rational … (or ) … (or)
Nonterminating and Nonrepeating Irrational (or …) (or …)
Step-by-step explanation:
Answer:
Irrational
Step-by-step explanation:
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
O
f(x) = 4x −2+ 7x
1) f(8) =
2) f(-5) =
3) f(0) =
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
experts please answer this 20 points
Answer:
A,B,E
Step-by-step explanation:
Answer:
5.0
0.9
0.5
Step-by-step explanation:
Which us a solution to the followung linear equality?
A. (0, 0)
B. (2, -2)
C. (0, 2)
D. (-3, 4)
I NEED HELP ASAP!!!!
I WILL GIVE A BRAINELEST
Answer:
x=4
Step-by-step explanation: