Find the point-slope equation for
the line that passes through the
points (1, -9) and (-10, 101). Use
the first point in your equation.
Answer:
y - (-9) = -10 (x - 1)
Step-by-step explanation:
y = mx + b
m (slope) = (y'-y) / (x'-x) = (101 - (-9)) / (-10) - 1) = 110/(-11) = -10
pass (1 , -9)
m = (y - (-9)) / (x - 1) = -10
y - (-9) = -10 (x - 1)
Find the value of y that makes 120y a perfect square
Step-by-step explanation:
y = 30
120y = 120×30 = 3600
√3600 = 60
The value of y is 60 which makes 120y a perfect square.
What is a perfect square?A perfect square is a number that represents the square of a natural number.
For example 9,16,36,64,121 etc
Here given that we have to calculate the value of y for which 120y will be a perfect square.
so 120y = n² where n is the natural number
For calculating the value of y first factorize 120
120= 2*2*2*3*5
= 2² * 2*3*5
=4 *30
from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.
So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.
Therefore the value of y is 30 for which 120*30=n² where n=60.
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8.5b−3.4*(13a−3.2b)+a
i need help ASAP
Answer:
19.38b - 43.2a
Step-by-step explanation:
Simplify :
8.5b−3.4*(13a−3.2b)+a
Open the bracket :
8.5b - 44.2a + 10.88b + a
Collect like terms :
8.5b + 10.88b - 44.2a + a
19.38b - 43.2a
Thomas is buying football jerseys for his high school football team. The cost of each jersey is $80. The company also charges a processing fee of $100. Write a function that represents Thomas' total cost, P(x), for purchasing x number of jerseys. What is Thomas' total cost, if he buys 55 jerseys?
Answer:P(c) =80x+100
First of all why is thomas buying 55 jerseys and the total is $4500
Step-by-step explanation:
What is the simplified expression for 5 to the power of 4 multiplied by 5 to the power of 3 over 5 to the power of 5?
52
53
54
55
Answer:
C. 5^4
Step-by-step explanation:
(5^4 * 5^5) / 5^5
5^9 / 5^5
5^4
Shazia sells 25x^2+5x+5 flowers in one day. If she sells the same number of flowers each day for rs 5x each , how much money will she have at the end of five days
Anyone help
Answer:
[tex]Total = 625x^3 + 125x^2 + 125x[/tex]
Step-by-step explanation:
Given
[tex]Flowers = 25x^2 + 5x + 5[/tex]
[tex]Unit\ price = 5x[/tex]
Required
The total price for 5 days
First, calculate the total for a day.
[tex]1\ day = Unit\ price * Flowers[/tex]
[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]
Open bracket
[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]
For 5 days, the total will be.
Total = days * sales of a day
So, we have:
[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]
[tex]Total = 625x^3 + 125x^2 + 125x[/tex]
A maple tree is 16 yards tall and its shadow is 12 yards long. A nearby observation tower is 12 yards tall. How long is the observation tower's shadow? Write your answer as a whole number or a decimal. Do not round.
Answer: 9 yards
Step-by-step explanation:
Given
The maple tree is 16 yards tall and its shadow is 12 yards tall
Suppose the angle made by the maple tree is x
[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]
For the tower also, the angle made by the tower and its shadow is x
Suppose the length of the shadow is y
[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]
Substitute the value of [tex]\cos x[/tex]
[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]
Hey! Could someone explain to me how to find the perimeter of this figure? It would be greatly appreciated!
Answer:
3/2 pi + 12
Step-by-step explanation:
In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.
The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.
The radius of the arc is 3, because at the bottom we see the width of the figure is 3.
Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.
Therefore, our answer is 3/2 pi + 12
Help me please!!!!!!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
By intersecting chords theorem:
[tex]8(4x + 2) = 9(4x) \\ \\ 32x + 16 = 36x \\ \\ 32x - 36x = - 16 \\ \\ - 4x = - 16 \\ \\ x = \frac{ - 16}{ - 4} \\ \\ x = 4[/tex]
Can someone please help me with this question
Answer:
70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B
Answer:
70 degrees
Step-by-step explanation:
90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70
Need help will give brainliest!!!
Answer:
A
Step-by-step explanation:
they took the square root of both sides
Hence, make a conjecture regarding the line joining the midpoints of two sides of any triangle:
Answer:
Plzzzz answer fast.....
a bag contains 33 red blocks, 46 green blocks, 22 yellow blocks, and 24 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability. P(purple or yellow) WILL CHOOSE BRAINLIEST!!!
Answer:
purple bc there are more purple in the bag then yellow. I'm pretty sure this is right
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T
It's Homework #1: Odds
Answer:
1/10, 3/10
Step-by-step explanation:
1) we have 10 letters, so the answer is: 1/10
2) we have three grey parts in a total of ten parts, so the answer is 3/10
What is the solution to the equation 4+5 -3- +5?
X=-1, x = 11
X=-1
0.x = 11
no solution
Answer:
Its C, trust me I'm an almost 20 year old still in high school. Failed Junior year twice. :)
Step-by-step explanation:
EDGE 2019
Dos libras de carne de res y dos de chivo cuestan $334 pesos, si duplico la libra de carne de res y una libra de chivo cuestan $420 pesos. ¿Cuál es el precio por libra de cada producto?
Answer:
El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.
Step-by-step explanation:
Con la información proporcionada puedes escribir las siguientes ecuaciones:
2x+2y=334 (1)
4x+y=420 (2), donde:
x es el precio por libra de carne de res
y es el precio por libra de chivo
Primero, puedes despejar x en (1):
2x=334-2y
x=334/2-2y/2
x=167-y (3)
Ahora, debes reemplazar (3) en (2) y despejar y:
4(167-y)+y=420
668-4y+y=420
668-3y=420
668-420=3y
248=3y
y=248/3
y=82.67
Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:
x=167-y
x=167-82.67
x=84.33
De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.
Find the dimensions of the rectangle that has the given area. area=15 square meters (2x-1m) (x+3m)
Answer:
it is 90
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
2*2-1m=3m
2+3m=5m
3m*5m=15m
Ignore the m it represents the meters
Photo shows how to get x=2
Ms. Hill goes to a burger place in California and orders 5 hamburgers and 3 fries and 6 hamburgers and 2 fries. What could she do to make her order simpler?
Expand. Your answer should be a polynomial in standard form. (x - 3)(x - 4) = Stuck? Watch a video or use a hint.
Answer:
x^2 -7x + 12
Step-by-step explanation:
(x-3) (x-4)
Expand
x^2 -3x - 4x + 12
Simplify
x^2 -7x + 12
Hope that helps!
Answer:
x²-7x+12
Step-by-step explanation:
When doing these types of problems, you have to multiply each term with each other.
Lets take a look at this.
We have to multiply each term with each other, so x times x =x²
x times -3=-3x
x times -4=-4x
-3 times -4=12
now we add them all up to get
x²-7x+12
10 people take 8 days to build a wall.
How long will it take 4 people to do the same job?
Answer:
20 days
Step-by-step explanation:
10 to get to 4 needs to be divided by 2.5 so we do the opposite to the other side since with fewer people it would take longer. (2.5 times longer).
10/2.5 = 4
8x2.5 = 20 days
(2) Parv has a $50 gift card. He uses the gift card to buy a pack of games
for $9.99. He also wants to buy some movies (n). Each movie costs
$3.99. Which inequality describes how many movies Parv can buy?
Answer:
$50 - $9.99 = $40.01
$40.01 ÷ $3.99 = 10
so the answer is 10
Step-by-step explanation:
if thats not whats being asked sorry
Inequality shows a relationship between two numbers or two expressions.
The inequality describes the number of movies Parv can buy.
9.99 + 3.99x ≤ 50
Where x is the number of movies.
The number of movies Parv can buy is 10.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal= ≥
We have,
Gift card = $50
Cost of a pack of games = $9.99
Cost of each movie = $3.99
x = number of movies
The inequality describes the number of movies Parv can buy.
9.99 + 3.99x ≤ 50
Where x is the number of movies.
Solve for x.
9.99 + 3.99x ≤ 50
Subtract 9.99 on both sides.
3.99x ≤ 50 - 9.99
3.99x ≤ 40.01
Divide both sides by 3.99
x ≤ 40.01/3.99
x ≤ 10
This means the number of movies Parv can buy is 10.
We can cross-check.
9.99 + 3.99 x 10 ≤ 50
9.99 + 39.9 ≤ 50
49.89 ≤ 50
Thus,
The number of movies Parv can buy is 10.
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which property is demonstrated?
Answer:
Associative Property
Explanation:
Associative property is when you add and group numbers in any combination.
Help please I will give brainlist!
Answer:
2 4/6 8/12
3 2/4 5/10
4 8/10 40/50
Step-by-step explanation:
Im sped Help MEEEEE PLEASEEE
Answer:
2x^4
-x^3 + 3x^2 + 2x + 4
5x^2 + 5x + 5
-3x + 10
22
Step-by-step explanation:
find the highest exponent of each polynomials:
22=> 0 degree
-3x(equals to -3x^1) + 10=> 1st degree
5x^2 + 5x + 5=> 2nd degree
-x^3 + 3x^2 + 2x + 4=> 3rd degree
2x^4=> 4th degree
Lanna plotted 3 vertacies of a square on a coordinate plane witch are the coordinates of the missing vertext of lanas square
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the coordinates of the three vertices.
I will answer your question using the following illustration.
Assume that the square is ABCD are the given coordinates are:
[tex]A = (3,1)[/tex]
[tex]B = (-1,5)[/tex]
[tex]C = (-5,1)[/tex]
Required
Find D
Let the coordinates of D be:
[tex]D = (x,y)[/tex]
---------------------------------------------------------------------------------------------------------
Calculate the slope of each side.
AB, BC, CD and DA using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
AB:
[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]
BC:
[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]
CD:
[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]
DA
[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]
[tex]m_4 = \frac{1-y}{3-x}[/tex]
AB and CD are parallel sides. So, they have the same slope
i.e.
[tex]m_1 = m_3[/tex]
[tex]\frac{y-1}{x+5} = -1[/tex]
Solve:
[tex]y-1 =-x-5[/tex]
Make y the subject
[tex]y =-x-5+1[/tex]
[tex]y =-x-4[/tex] ---- (1)
BC and DA are parallel sides. So, they have the same slope
i.e.
[tex]m_2 = m_4[/tex]
[tex]1 = \frac{1-y}{3-x}[/tex]
Solve:
[tex]1-y =3-x[/tex]
Make y the subject
[tex]y =1-3+x[/tex]
[tex]y =x-2[/tex] ---- (2)
So, we have:
[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]
Equate both:
[tex]y=y[/tex]
[tex]-x-4=x-2[/tex]
Collect like terms
[tex]-x-x=4-2[/tex]
[tex]-2x=2[/tex]
Solve for x
[tex]x = -\frac{2}{2}[/tex]
[tex]x = -1[/tex]
Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]
[tex]y = -1-2[/tex]
[tex]y = -3[/tex]
So, the missing coordinate is:
[tex]D = (-1,-3)[/tex]
easy algebra question below first correct answer gets brainliest
Answer:
10
Step-by-step explanation:
We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.
The formula for Pythagoras Theorem =
c² = a² + b²
c = √a² + b²
Where c is the longest side
From the above diagram, we are looking for c
c = ?
a = 6
b = 8
Hence,
c = √6² + 8²
c = √36 + 64
c = √100
c = 10
Therefore, side c = 10
Please Help I will do Brainliest for first and correct answer
Answer:
5
Step-by-step explanation:
41 - 32 = 9
5/9 x 9 = 5
what is 5^2 simplified
Answer:
25
Step-by-step explanation:
Find the Highest Common Factor of : 27, 36, and 54.
Answer: 9
Step-by-step explanation:
The factors of 27 are: 1, 3, 9, 27
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 9.
Hope this helped ! :)
The polygons are similar. Find the value of X.
Answer:
the polygon on the right side is doubled the size of the one on the left, therefore x=11