Answer:
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Step-by-step explanation:
The slope is denoted by m and is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
The given vertices are:
A(-2,4) B(-1,1) C(2,3)
The sides will be:
AB, BC, AC
Let m1 be the slope of AB
Let m2 be the slope of BC
Let m3 be the slope of AC
Now
[tex]Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}[/tex]
Hence,
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Solve the system by Elimination.
7x+9y=30
3x−6y=3
(3, 1)
(3, 5)
(3, -1)
(-3, 5)
please hurry need it now
Please help with this question, thank you so much.
7y + 8y can be simplified to 15y true or false
Answer:
True
Step-by-step explanation:
7y and 8y are like terms, so you can add them together
True.
How? By combining like terms.
7y + 8y = what?
We keep the variable y and simply add the numbers.
7 + 8 = 15
We now include y in our answer.
So, 7y + 8y = 15y.
Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracelet. How long does it take to make each necklace and each bracelet?
A. Bracelets take 3 minutes to make, and Necklaces take 8 minutes to make.
B. Bracelets take 8 minutes to make, and Necklaces take 3 minutes to make.
C. Bracelets take 15 minutes to make, and Necklaces take 20 minutes to make.
D. Bracelets take 20 minutes to make, and Necklaces take 15 minutes to make.
Answer:
A. Bracelets take 3 minutes, and necklaces take 8 minutes.
Step-by-step explanation:
If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)
Answer:
23 56
Step-by-step explanation:
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The seventh grade enrollment at Goddard, increased from 380 to 456 students. What is the percent of increase?
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 380 to V2 = 456
(V2−V1)|V1|×100
=(456−380)|380|×100
=76380×100
=0.2×100
=20%change
=20%increase
Need help. Forgot how to do this type
Answer:
AB=707
Step-by-step explanation:
Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 minus 12.5x can be used to represent the amount of money Stephan owes on the loan, where x is the number of weeks that Stephan pays towards the loan.
Answer:
Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.
Step-by-step explanation:
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What is the percent increase when 7,200 increases by 1,800?
A. 20 percent
B. 25 percent
C. 54 percent
D. 80 percent
Answer:
B.
Step-by-step explanation:
The percent increase when 7200 increases by 1800 is 25 %
Write an equation in slope-intercept form for the line with slope 6 and y-intercept -8 .
Answer:
y=6x-4
Step-by-step explanation:
The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 6
Let the y intercept of the line be = -8
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 6x - 8 be equation (1)
Hence , the equation of line is y = 6x - 8
To learn more about equation of line click :
https://brainly.com/question/14200719
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A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.
Answer:
39=6t+3f+e
39=19f+1
5 touchdowns, 3 extra points, and 2 field goals.
Step-by-step explanation:
e=f+1
6t=15f
39= 6t +3f +e
^ ^ ^
39=(15f)+(3f)+(f+1) | e=f+1 | 6t=15f
39=19f+1 | e=2+1 | 6t=15(2)
38=19f | e=3 | 6t=30
f=2 | | t=5
As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.
Answer:
Step-by-step explanation:
5 miles = 8km
42.5 miles = 42.5 x 8 = 340 km
please help asap, will give brainiest. TY! :3
Answer:
Page 1::1 & 3 & 4
Page 2:6
Page 3:8/1
Page 4:15 3/4
Step-by-step explanation:
HOPE THIS HELPS!!
Peter buys 12 bunches of bananas for $9.00. Use a ratio table to determine how much Peter will pay for 8 bunches.
I bought 24 donuts for 44dhs how much does each donuts cost?? 24 divided by 44 =
Answer:
54 cents
Step-by-step explanation:
The best way to solve this is by writing this as a fraction...
24/44
Next, we should divide both sides by their GCF (Greatest Common Factor) Which in this case is 4.
Now, our fraction is...
6/11
So, our final answer is 6/11 or 0.54 repeating or 54 cents
Hope this Helps!!! :)
Let me know in the comment section if I should change anything or if this answer was perfect!!!
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
Between which two values on a number line is √ 39 located?
Answer:
The square root of 39 is approximately 6.245 so it lies between 6 and 7
Answer:
[tex]\sqrt{39}[/tex] is located between 6 and 7
Step-by-step explanation:
the square root of 39 is about 6.245. This number is located between the whole numbers 6 and 7.
6 x 6 = 38
39 is in the between
7 x 7 = 49
A football team needs to move the ball at least 10 yards forward from the original starting point in order to get a first down. Angel runs for 6 yards on the first play. On the second play, he is sacked for −9 yards. At least how many yards does his team need on the third play to get a first down?
Answer:
13 yards
Step-by-step explanation:
Required distance moved from original position should be ≥ 10 yards in other to get a first down.
Run on first play = 6 yards
Second play = - 9yards
The least number of yards needed on third play :
Let yard needed on third play = x
First play + second play + third play = 10
6 + (-9) + x = 10
6 - 9 + x = 10
-3 + x = 10
x = 10 + 3
x = 13 yards
At least 13 yards is needed on third playbto get a first down.
There were 548 films released in 2011. Of these, approximately
8.75% were rated PG (parental guidance suggested). How many PG
movies were released in 2011? Round to the nearest whole number.
Answer:
make me brainlist pls here try this answer tho 4,795
Step-by-step explanation:
1. The ratio between the number of Anita's cousins and the number of Juan's
cousins is 5:8. If Anita has 15 cousins, how many does Juan have?
A) 5
B) 8
24
D) 40
Answer:
C) 24
Step-by-step explanation:
Set x equal to the number of cousins Juan has:
5/8 = 15/x
Cross-multiply: 5x = 15 × 8
5x = 120
x = 24
A bag contains 5 red balls and 3 blue balls. A ball is picked at random from the bag and not replaced. Another ball is then picked at random.
What is the probability that the balls will be the same colour?
Answer:
13/28Step-by-step explanation:
Given
5 red ball3 blue ball8 total balls
p(r and r) = 5/8*4/7 = 5/14p(b and b) = 3/8*2/7= 3/28Added up
5/14 + 3/28 = 10/28 + 3/28 = 13/28Probability of 2 same colored balls is 13/28
help please I don’t know what’s part B :( I’ll give you brainilist !!!!
Answer:
(x,y)——>(-8x, 5y)
Step-by-step explanation:
what is the equation of the line in slope intercept form
Answer:
y=2/7x+-9
Step-by-step explanation:
I need to go soon
Answer:
y=2/7x-9
Step-by-step explanation:
Goes to the right by 7 units, and goes up by two so 2/7. Line intercepts at -9.
Find the equation of the circle passes the following three
points?
a) (1,0) (0,1) and (2, 2)
Answer:
2.2
Step-by-step explanation:
the equation was not the only way that could change in a single year of growth
we have:(x, y1)=(1,0)
(x2,y2)=(0,1)
then the equation of circle is
(x-1)(x-x2)+(y-y1)(y-y2)=0
=(x-1)(x-0)+(y-0)(y-1)=0
=x2-x+y2-y=0
=x2++y2-x-y=0.
Hence this is the answer.
what is the measure of <x
Answer:
X=17
Step-by-step explanation:
73+x=90 90-73=17
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
For f(x) = -4x+ 2. find f(x) when x = = -1.
A-2
B None of the other answers are correct
C 2
D 6
E -4
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
Find the value of x for which m parallel n 3x - 38 and 2x + 24
Answer:
35x
26x
Step-by-step explanation:
it help to understand..:)
The normal to the curve y =root x, at the point where x=1 and x=4 meet at P, find the coordinates of P.
The curve is y = sqrt{x}.
Replace x in the curve with 1 and then with 4 to find your point.
y = sqrt{1}
y = 1
First point (1, 1).
y = sqrt{4}
y = 2
Second point (4, 2).
Take it from here.
Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Davaughn have?
Answer: 9 quarters and 5 dimes
Step-by-step explanation: