Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
Which expression is equivalent to the expression below?
2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k
b} 14k−1
c} 4k−4
d} 4+4k
Answer:
D. 4+4k
Step-by-step explanation:
(12k +8) - (8+ 8k - 4)
12k +8 - 8 - 8k + 4
4k +4
d}4+4k
2(6k+4)-4(2+2k-1) writing down the question
12k+8-8-8k+4 multiplying the numbers by the coefficients
12k-8k+8-8+4 collecting like terms
4k+4 the answer
Find the missing side length of this right triangle
if i have all a's and one d what is my gpa
Answer:
Step-by-step explanation:
umm like 2.8 i think
Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
in triangle ABC with vertices A(4,5),B(-2,1) and C(0,3),E and F are midpoints of sides AB and AC resp . then, find coordinates of E and F
Answer:
The answer is
E=(1, 3)
F=(2,4)
Step-by-step explanation:
When E is midpoint of AB
Then
[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]
By this way we can find F
[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4
Answer:
1. Shaded Area 2. UnlikelyStep-by-step explanation:
edge2021
Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement
The solution to the system of equation is (7, 2)
Using the simultaneous equation:
5x + 3y = 41
2x + 3y = 20
using elimination method
Subtract equation 1 from 2 to have:
5x - 2x = 41 - 20
3x = 21
x = 21/3
x = 7
Substitute x = 7 into equation 1 to get y
5x + 3y = 41
5(7) + 3y = 41
35 + 3y = 41
5y = 41 - 35
3y = 6
y = 6/3
y = 2
Hence the solution to the system of equation is (7, 2)
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Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
Pleaseee help I need this done ASAP will mark brainless if correct!!
I believe its 1/2 because m always stands for slope for slope formula
A number is 12 more than the other. Find the numbers if their sum is 48
Answer:
let one number be x and the other be x + 12
sum = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
2x = 36
x = 36 by 2
x = 18
therefore x = 18 and x+12= 18+12=30
so the answer is 18 and 30
Have a good day! ^^
Step-by-step explanation:
Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?
Answer:
$6.37
Step-by-step explanation:
Jane and 3 friends = Jane + another 3 people
= 4 people in total
Total Cost of pizza = $25.48
If 4 people split $25.48 evenly,
Amount each friend has to pay = Total Cost of pizza/Total number of people
= $25.48/4
= $6.37 per friend
Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them
James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%
The answer is A.
Step-by-step explanation:
ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.
Find the domain and range for f(x)=pi cos(x)
Domain of f(x) = pi cos x is ALL REAL NUMBERS.
The range of f(x) = pi cos x is [-1, 1].
What's the greatest number you can multiply by 8 to get close to, but not go over, 69?
Answer:
8x8=64
happy to help
Step-by-step explanation:
Answer:
you can do 8x8 bc 8x8=64
Step-by-step explanation:
Have you ever devised a way to solve a problem? How?
Answer:
What kind of problem?
Step-by-step explanation:
the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter
Answer:
Step-by-step explanation:
width is 255/15=17
perimeter = 17*2+15*2=64
EZ
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
plz will mark as brainliest
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
the volume of a rectangular prism is 36x6y8. the length of the prism is 4x3y5 and the width of the prism is 3xy2. what is the height of the prism?
Answer:
need the points sorry
Step-by-step explanation:
jesus
If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?
Answer:
6
Step-by-step explanation:
72/24=3
3*2=6
Is
Y=-3/4x -2
Y=3/4x+1
One solution many solution or no solution
x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.
Part (a)
Answer: x^3 + 12x^2 + 47x + 60--------------------------
Work Shown:
Let's say we have
L = length = x+5W = width = x+4H = height = x+3To find the volume of the block, we multiply the length width and height.
So,
volume = (length)*(width)*(height)
V = L*W*H
V = LW*(x+3) .... replace H with (x+3)
V = LW*x + LW*3 .... distribute
V = Lx*(W) + 3L*(W)
V = Lx(x+4) + 3L(x+4) .... replace W with x+4
V = Lx^2 + 4Lx + 3Lx + 12L .... distribute
V = Lx^2 + 7Lx + 12L
V = x^2*(L) + 7x*(L) + 12*(L)
V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5
V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute
V = x^3 + 12x^2 + 47x + 60
x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.
=======================================================
Part (b)
Answer: 336 cubic feet--------------------------
Work Shown:
We can plug x = 3 into the polynomial we found
V = x^3 + 12x^2 + 47x + 60
V = (3)^3 + 12(3)^2 + 47(3) + 60
V = 27 + 12(9) + 47(3) + 60
V = 27 + 108 + 141 + 60
V = 336
Or we could find the volume like this
V = L*W*H
V = (x+5)*(x+4)*(x+3)
V = (3+5)*(3+4)*(3+3)
V = (8)*(7)*(6)
V = 336
Either way, we get the same volume of 336 cubic feet.
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=
if r=2, then h=
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
A clerk at a local camera shop earns a 5% commission on all sales. How much commission does the clerk earn on a $500 sale?
Answer:
she earns $25.00 commission
Step-by-step explanation:
.05×500=25
A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?
Answer:
8/15
Step-by-step explanation:
Unit rate is 8 / 15 acres per day.
What is work?
"Work is defined as when force is applied on an object and it gets move in particular direction."
According to the question,
Group of workers plant 2/ 5 acres in 3 /4 days
3 / 4 days = 2/ 5 acres
1 day = [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]
⇒ 1 day = 8 / 15 acres
Hence, Unit rate is 8 / 15 acres per day.
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Someone plz help me I will give brainliest
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation: