Answer:
y = -3/2x + 1
Step-by-step explanation:
Perpendicular lines' slope will have the negative reciprocal of the other one's slope.
First, put 2x-3y = 6 into slope - intercept form, so it would be:
[tex]-3y = -2x+6\\y = \frac{2}{3}x - 2[/tex]
This means that the slope of that line is 2/3, so the slope of the perpendicular line would have to be -3/2.
Then, you can put this into point-slope form, so it would look like:
y - 4 = -3/2 (x + 2)
[tex]y = -\frac{3}{2} x - 3 + 4 \\y = -\frac{3}{2}x + 1[/tex]
PLZZZ HELPPPP
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.
Write an equation to describe this situation.
What was the total weight of the basket of apples?
Answer:
Equation: p - 3 = 17
Weight of basket of apples = 20 pounds
Step-by-step explanation:
Given that:
Weight of basket of apples = p
Weight of apples eaten by Liang = 3 pounds
Weight of left apples = 17 pounds
According to given statement.
p - 3 = 17
Adding 3 on both sides
p - 3 + 3 = 17 + 3
p = 20 pounds
Hence,
Equation: p - 3 = 17
Weight of basket of apples = 20 pounds
i just need confirmation that i’m doing this right
If a town with a population of 5,000 doubles in size every 11 years, what will the population be 44 years from now?
Question 1
Tell whether the angles are complementary or supplementary. Then find the value of x.
The angle is complementary but I don't know the value of x.
the angles are
x and (x-20)
Answer:
55
Step-by-step explanation:
If they're complementary, that means they add up to 90 so:
x + x - 20 = 90
Then, solve.
[tex]2x - 20 = 90\\2x = 110\\x= 55[/tex]
Find the percent of change. Round to the nearest tenth, if necessary.
In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
Solve. y = -2x + 9
y = 4x - 3
Answer:
Step-by-step explanation:
It is easiest to just set both equations equal to each other and then solve for x.
Then we can plug the value we found for x back into either equation to find the corresponding y value.
This represents where on a graph the lines cross each other. At that intersection point, they would have the same x and y value.
I believe in you!
[tex]-2x + 9 = 4x - 3[/tex]
Answer:
x=2 y=5
Step-by-step explanation:
Rewrite as -2x+9=4x-3. Solve for x: -2x-4x=-3-9--> -6x=-12--> x=2. Now that we know x=2, substitute x into each equation: y=-2(2)+9=-4+9=5. y=4(2)-3=8-3=5, thus making y=5
wrote an equation to find x
1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a
square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of
equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answer:
1: So one side is 5
2: Other side is 2
Step-by-step explanation:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
answers for the 2 boxes please :)
Answer:
(8, - 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 4 → (1)
- x - 3y = 7 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the x- term.
- 3x - 9y = 21 → (3)
Add (1) and (3) term by term to eliminate x, that is
0 - 5y = 25
- 5y = 25 ( divide both sides by - 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(- 5) = 4
3x - 20 = 4 ( add 20 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
solution is (8, - 5 )
sorry mine was a mistake
2. Find the 15th term of the following sequence:
-12, -5, 2, 9...
Answer: 86
Step-by-step explanation:
There's a seven digit difference between each number so if you continue adding 7 you'll get 86. -12, -5, 2, 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86
what is The cube of the product of 3 and x
Answer: 9
Step-by-step explanation:
How do we know if values in a table are proportional?
Answer:
To see if multiple ratios are proportional, you can write them as fractions, reduce them and compare them. If the reduced scores are all the same, you have a proportion.
If 4 quarts fill 16 cups then how many cups does 6 quarts fill
Answer:
24
Step-by-step explanation:
16/4=4
1q fills 4 cup
so 6x4=24
The number of cups filled with 6 quarts is 24 cups.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
4 quarts fill 16 cups.
This means,
4 quarts = 16 cups
1 quart = 4 cups
1 quart will fill 4 cups.
Now,
1 quart = 4 cups
Multiply 6 on both sides.
6 quarts = 6 x 4 cups
6 quarts = 24 cups
Thus,
24 cups will be filled with 6 quarts.
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-0 25+ 1 75 <-1 75+ 2 25x
Answer:
x > 1.00
Step-by-step explanation:
1.50 < 0.50x
Trigonometry
Pls help
Multiply: (7y^3/5)(6x+5/21y)
Answer:
y²(6x+5)/15Step-by-step explanation:
We are to multiply the expression (7y^3/5)(6x+5/21y)
(7y^3/5)(6x+5/21y) = 7 * y * y * y/5 * 6x+5/21y
(7y^3/5)(6x+5/21y) = y²/5 * 6x+5/3
(7y^3/5)(6x+5/21y) = y²(6x+5)/5*3
(7y^3/5)(6x+5/21y) = y²(6x+5)/15
Hence the product is y²(6x+5)/15
Answer:
the correct answer would be d
Step-by-step explanation:
just took the test
What does -12(4+g)=?
Answer:
-48-12g
Step-by-step explanation:
Use the distributive property to get your answer
Answer:
-48-12g
Step-by-step explanation:
-12 x 4 = -48
-12 x g = -12g
Put it all together: -48-12g
NEED HELP ASAP PLZZZCircles can start with just a little bit of information and grow into equations and graphs. what are the coordinates of the center point and the radius of a circle?
Answer:
i need a photo this makes no sense
Step-by-step explanation:
Area of circles, please help me it's so that I can pass this year. Solve it
Answer:
78.54 cm2
Step-by-step explanation:
A = pi · r squared
A = 78.54 cm2
Solving an Absolute Value Equation
What is the solution set of -+-=-122
O no solution
8-12
(12)
[-12 12
Answer:
{-12,12}
Step-by-step explanation:
it looks like that I guess
Matthew is making bags of trail mix for hiking club. He will use 21 ounces of walnuts, 10.1 ounces of almonds, and 28.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
its 2.38 ounces in each bag
Step-by-step explanation:
u add all of he numbers then divide by 25. your welcome
solve for x triangle
Answer:
x=65
Step-by-step explanation:
solve for the angle not marked⇒ 180-147=33
add known angles⇒ 33+82= 115
subtract total known value from 180**⇒ 180-115=65
**all interior angles of a triangle must add up to 180°
can someone write a story for a ration number 3:4 pls i really need some help on this
Answer:
3:4
Step-by-step explanation:
Sarah has 3 slices of pie and jake has 4 slices of pie. Write this as a Ratio
Jason and Isaac each threw a javelin 10 times they recorded the distances of the throws on the box plot below which statement is true
Answer:
Step-by-step explanation:
D
Kala purchased a prepaid phone card for $25. Long distance calls cost 8 cents a minute using this card. Kala used her card only once to make a long distance call. If the remaining credit on her card is $21.48, how many minutes did her call last?
Answer:
44 minutes
Step-by-step explanation:
25.00-21.48=3.52
this means she used $3.52
which is 352 cents.
Each minute is 8 cents so 352/8 = 44
The diameter of a baseball is approximately 3 inches. What is its volume?
Round your answer to the nearest whole number.
A. 9 in^3
B. 13 in^3
C. 113 in^3
D. 14 in^3
Answer:qe
Step-by-step explanation:
The volume of the baseball is 14 in³.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere.
We have,
Diameter = 3 inch
radius = diameter / 2 = 3 / 2 = 1.5 inches
Substituting the radius into the volume formula:
V = (4/3) π (1.5)³
V ≈ (4/3) x 3.14 x (1.5)³
V ≈ 14.13 in³
Thus, the volume of the baseball is 14 in³.
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If 12 out of 52 cards in the deck our face cards. What percentage of cards in the deck or face cards?
Solve the inequality 21<2x+3
Answer:
x = 9 and up
Step-by-step explanation:
Given that p varies jointly as q and r, and p = 7. when q = 2
and r= 1.5, find the following:
a. an equation relating p, q, and r
b. p when q = 4 and r= 6
c. p when p=1 and r=3
d. r when p= 5 and q = 8
Answer:
P = k*q*r
Step-by-step explanation:
P = kqr
7 = k*2*1.5
7 = 3k
k = 7/3
b. P = kqr
= 7/3*4*6
= (7*4*6)/3
= 168/3
= 56
P = 56
c. P = kqr
1 = 7/3*q*3
1 = (7*q*3)/3
1 = 21q/3
Cross product
1*3 = 21q
3 = 21q
q = 3/21
= 1/7
q = 1/7
d. P = kqr
5 = 7/3*8*r
5 = (7*8*r)/3
5*3 = 56r
15 = 56r
r = 15/56
The grocery store is having a deal on two types of
apples. Fuji apples are $6 for 4 apples. Gala apples are
$8 for 5 apples. Find the price per apple for Fuji apples
and Gala apples. Which deal is better?