Answer:
1. x + 3y = 6 answer is x = 6 − 3 y
2. 3x + 9y=-4 answer is x = − 4 3 − 3 y
but if u are talking about both of them together it has no solution
Step-by-step explanation:
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
Kali and Ryan are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Kali sold 12 New York style cheesecakes and 1 apple cheesecake for a total of $79. Ryan sold 14 New York style cheesecakes and 1 apple cheesecake for a total of $91. Find the cost each of one New York style cheesecake and one apple cheesecake.
Answer:
New York style cheesecake: $6 Apple cheese cake: $7
Step-by-step explanation:
Ryan and Kali sold the same amount of apple cheesecakes which means the New York cheesecakes differed in amount. Ryan sold 2 more than Kali so the difference in amount would be the cost of 2 New York cheese cakes.
Ryan made $91 and Kali made $79. Since they sold the same amount of apple cheesecakes, we can use their difference in money made to find the cost of 2 New York cheesecakes. So take away 79 from 91 and you get 12. $12 is the price of 2 New York cheesecakes. So take the 12 and divide it by 2. You get 6. $6 is the price of one New York cheesecake.
To find the amount of one apple cheesecake, you just need to multiply the amount of New York cheesecakes Kali sold by the price of 1 New York cheesecake. So 6 multiplied by 12 is equal to 72. Take the money Kali made and take away 72 from it. You get 7. 7 is the cost for one apple cheesecake. $7 for 1 cheesecake.
I hope this helps!
If m A is congruent to m B , m B and m C are complementary, and m C= 47
, then find m A .
A. 47
B. 43
C. 90
D. 133
Answer:
B
Step-by-step explanation:
if b and c are complementary that means b + c = 90
b + 47 = 90
b = 43
since a and b are congruent they are equal
if b = 43 then a = 43
9t + 21t - 8
It needs to be factored
Calculate the angular momentum that keeps an 80-kg person sitting on the edge of a horizontal rotating platform when the person sits 2 m from the center of the platform and has a tangential speed of 3 m/s
Answer:
[tex]L=480\ kg-m^2/s[/tex]
Step-by-step explanation:
Given that,
Mass of a person, m = 80 kg
The distance from the centre of the platform, r = 2 m
The tangential speed of the platform, v = 3 m/s
We need to find the angular momentum of the person. The formula for the angular momentum is given by :
[tex]L=mvr\\\\L=80\times 3\times 2\\\\L=480\ kg-m^2/s[/tex]
So, the required angular momentum is equal to [tex]480\ kg-m^2/s[/tex].
Answer:
Tangential speed is 0.68 m/s
Explanation:
It is given that,
Mass of the beetle, m = 0.023 kg
It is placed at a distance of 0.15 m from the center of record i.e. r = 0.15 m.
If it takes 0.070 n of force to keep the beetle moving in a circle on the record i.e. centripetal force acting on it is, F = 0.070 N
We have to find the tangential speed of the beetle. The formula for centripetal force is given by :
v is tangential speed
v = 0.675 m/s
or
v = 0.68 m/s
Hence, the correct option for tangential speed is (A).
Step-by-step explanation:
Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys?Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys? A. 33 + 42 B. 33 + 24 C. 33 + 4 × 2 D. 32 + 4 × 2
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.
The expression that gives the total cost of the bouquets that Penny buys will be:
= (3 × $3) + (4 × $2)
Solving further will be:
= (3 × $3) + (4 × $2)
= $9 + $8
= $17
Answer:
D
Step-by-step explanation:
Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers per minute. The rate of change is 3.5 kilometers per minute. The rate of change is 1 kilometer per minute
Answer:
eliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers
2xy +1 = 1
solve for x
Answer:
the answer of this question is 0
A. First, convert this equation into y-intercept form
y = 2x + 1
B. 2 is the slope: 1 is the y-intercept
Then, plug in 1 for y and solve
C. 1 = 2x + 1
Therefore, x is 0
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
What is the area of the trapezoid? [A = 5(61 + b2)h]
202 ]
A) 1249.5 sq cm
B) 162.75 sq cm
C) 105 sq cm
D) 38.75 sq cm
Answer:
A = 105 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]
where h is the height and b₁, b₂ the parallel bases
Here h = 5 , b₁ = 24 and b₂ = 18 , then
A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]
= [tex]\frac{1}{2}[/tex] (42 × 5)
= [tex]\frac{1}{2}[/tex] × 210
= 105 cm²
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
5 1/2 - 1 1/3= _______________
Answer: 4 1/6
Step-by-step explanation: I BELIEVE the answer is
A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?
Answer:
18ft x 20ft
Step-by-step explanation:
(I'm kinda in a rush so I can't explain right now, sorry!)
Hope that helped though :)
The actual dimensions of the house is 18 feet by 20 feet.
Scaling is used to either increase or decrease the size of a figure to create an image.
Given that a scale of 6cm to represent 12 ft. Hence:
9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.
10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.
The actual dimensions of the house is 18 feet by 20 feet.
Find out more on scaling at: https://brainly.com/question/25324744
. Which statement about the
function y=-3x – 2 is true?
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the
value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.
Answer:
C. As the value of x increases, the value of y decreases.
Step-by-step explanation:
The slope is -3. Negative slope means:
As y increases, x decreases.
Therefore:
As y decreases, x increases.
ayoo could someone please help me with my math?? multiple selection answer:)
Which of the following options represents an equation that can be used to solve for the missing side of a right triangle? Select all that apply.
Answer:
choice 1) a^2+b^2 = C^2
and
choice5) c = sq rt(a^2+b^2)
The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).
What is the length of the segment joining the midpoint of GT and O?
Answer:
6.33
Step-by-step explanation:
Given the coordinates;
G(-4,2), O(5,-1), and T(10,8).
Midpoint of GT is expressed as;
M = (-4+10/2, 2+8/2)
M = (6/2, 10/2)
M = (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
MO = √(3-5)²+(5+1)²
MO = √2²+6²
MO = √4+36
MO = √40
MO = 6.33
Hence the length of the segment joining the midpoint of GT and O is 6.33
The length of the segment joining the midpoint of GT and O is 6.33.
The calculation is as follows;Midpoint of GT is expressed as;
[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]
= (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]
= 6.33
Learn more: brainly.com/question/16911495
If m/B = 41º, what is the measure of angle BCA? Explain your reasoning.
The measure of angle BCA is 81 degrees.
[PLEASE BE QUICK] Write the equation of the line in point-slope form that passes through the given point with the given slope. 5. (1, 5); m=-3
Answer:
y-5=-3(x-1) simplified: y=-3x+8
Step-by-step explanation:
y-y1=m(x-x1)
plug in point and slope given
y-5=-3(x-1)
y=-3x+3+5
y=-3x+8
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!
I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that
Write the fractions in order from smallest to largest: 2⁄8, 2⁄3, 2⁄7, 2⁄5.
Answer:
2/8, 2/7, 2/5, and lastly 2/3
Step-by-step explanation:
hope this helped ( correct me if i'm wrong)
3y + 7 = 5x 7x - 3y = 1
Answer:
x=-3, y=-22/3. (-3, -22/3).
Step-by-step explanation:
3y+7=5x
7x-3y=1
---------------
5x-3y=7
7x-3y=1
--------------
-5x+3y=-7
7x-3y=1
----------------
2x=-6
x=-6/2=-3
7(-3)-3y=1
-21-3y=1
3y=-21-1
3y=-22
y=-22/3
2x - 4y = 10
2y+6=x
What is the best method to solve this system?
Equal values
Substitution
Elimination
What is the solution to the system?
someone please help asap
Answer:
Substitution, but this system of equations has no solution.
Step-by-step explanation:
2x-4y=10
2y+6=x
----------------
2(2y+6)-4y=10
4y+12-4y=10
12=10
no solution.
If lucas puts $1500 in a saving account that pays 3% interest compounded annually, how much money will he have in the account after 5 years?
Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)
use definition of logarithm
0.15 = ln(A / 1500)
0.15 = ln(A) - ln(1500)
ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387
please help guys!!! due soon
Answer:
6
Step-by-step explanation:
37/37+5=1+5=6
A scale drawing of an ant uses a scale of 1 centimeter = 2.5 millimeters. If the actual ant is 10 millimeters long, find the length of the ant on the drawing.
Answer:
4 Centimeters
Step-by-step explanation:
If 1 centimeter is 2.5 millimeters, then 4 centimeters is 10 millimeters because 2.5 x 4 = 10 or 10/2.5 = 4
jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?
Simplify the expression if possible (6·7)^3
and write your answer as a power (using exponents).
Answer:
(-1)^1 if exponent is required, but just -1 is correct and easier
Step-by-step explanation:
(6-7)^3
(-1)^3
(-1)*(-1)*(-1) = -1
so if an exponent is required, then c
Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keith’s age.
Answer:
Trina is 13
Kieth is 18
Step-by-step explanation:
x + 5 = Kieth's age
Divide by 2 to separate the ages:
62 ÷ 2 = 31
Subtract the difference in ages:
31 - 5 = 26
Add the 5 years to Kieth's age:
31 + 5 = 36
Divide by 2 again, to eliminate the twice of their ages
26 ÷ 2 = 13
36 ÷ 2 = 18
Trina is 13
Kieth is 18
This is what i got. Sorry if i'm wrong, lmk if i am!
Hope this helps! Brainliest if i'm correct!?
-4x - 3 = -6x + 9 need help please.
Answer:
6
Step-by-step explanation:
-4x -3 = -6x +9
-4x = -6x +12
2X = 12
x = 6
Answer:
6
Step-by-step explanation:
-4x -3 = -6x +9
-4x-6x = 9+3
2x = 12
x = 12/2
x = 6