Answer:
y = -3x + 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.
Plug in the slope and given point into y = mx + b
y = mx + b
-5 = -3(2) + b
-5 = -6 + b
1 = b
Then, plug in the slope and y intercept into y = mx + b again:
y = -3x + 1 will be the equation of the line
this was very hard for me please help thanks.
Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)
Sum of 5 and 9 less than 17
Answer:
15?
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
5+9=14
14-17=-3
if greg works 20 hours how much will he make
Answer:
?
Step-by-step explanation:
You need to know how much how much he makes per hour.
A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal bought 3 more paperback books than hardback books. Jamal spent $47. How many paperback books did Jamal buy?
Answer:
5 paperback books
Step-by-step explanation:
From the question:
A used bookstore sells hardback books and paperback books. A hardback book costs $11, including tax. A paperback book costs $5, including tax. Jamal spent $47.
Let the number of paper backs = p
Let the number rod hardbacks = h
Hence:
$11 × h + $5 × p = $47
11h + 5p = 47
Jamal bought 3 more paperback books than hardback books.
h + 3 = p
h = p - 3
How many paperback books did Jamal buy?
Hence:
11h + 5p = 47
11(p - 3) + 5p = 47
11p - 33 + 5p = 47
16p = 47 + 33
16p = 80
p = 80/16
p = 5
Hence, he bought 5 paper back books
I’m terrible at percents so ...... if anybody can help that would be nice :))
Answer:
There are 625 trees in the park.
Step-by-step explanation:
Assume that there are x trees in the park
∵ The number of trees in the park = x
∵ 27% of them are oaks
∵ 16% are pins
∵ 33% of them are banyans
∵ The remaining are willows
→ The percentage of the total number of trees is 100%
∴ The percent of the remaining = 100% - (27 + 16 + 33)%
∴ The percent of the remaining = 100% - 76%
∴ The percent of the remaining = 24%
∵ The number of willows trees = 150
∴ 24% of x = 150
∴ 24% × x = 150
→ Change the percent to a decimal by divide it by 100
∵ 24% = [tex]\frac{24}{100}[/tex] = 0.24
∴ 0.24 × x = 150
∴ 0.24x = 150
→ Divide both sides by 0.24
∴ x = 625
∴ There are 625 trees at the park.
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
6 sin2(x) = 3
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow.If the mixing container only holds 40 ounces of paint, what is the most green paint the artist can make, and what recipe should she use? 20 points please help me
Answer:
she could only make 4 of green paint
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?
Answer:
yes
Step-by-step explanation:
you find the area by multiplying 38 X 112= 4,256
4,400 - 4,256= 144 left over
2r + 1+(4R)+7 as an equivalent expression
Answer
6r+8
Step-by-step explanation:
2r+1+r+r+r+r+7
= 6r+8
1. Joanna is saving up for a new car. Her parents said that once she has $1000 saved up, they would help her
buy the car. Joanna has saved $300 in her bank account and $100 from her birthday money. She started
babysitting earning $10 per hour. How many hours of babysitting will she need to complete, so that her
parents will help buy her car.
9514 1404 393
Answer:
60 hours
Step-by-step explanation:
We want Joanna's total savings to be ...
bank account + gift + earnings = 1000
300 +100 +10h = 1000
10h = 600 . . . . subtract 400
h = 60 . . . . . . . .divide by 10
Joanna needs to babysit for 60 hours to earn the money she needs.
What is 12 equivalent tp
Simplify fully 56:16
Answer:
7/2
Step-by-step explanation:
An investor invested a total of $2,100 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $83, how much was invested in each mutual fund?
The amount invested in the mutual fund that earned 5% was $___.
The amount invested in the mutual fund that earned 3% was $___.
Answer:
The amount invested in the mutual fund that earned 5% was $1000.
The amount invested in the mutual fund that earned 3% was $1100.
Step-by-step explanation:
Let the amount invested in the mutual fund that was earned 5% be x and the amount invested in the mutual fund that earned 3% be y.
Statement 1: [tex]\frac{5}{100}[/tex]X+[tex]\frac{3}{100}[/tex]y = 83
Statement 2: x+y = 2100
I'll use the elimination method:
Statement 1 × 20: x+[tex]\frac{60}{100}[/tex]y = 1660
Minus Statement 1 × 20 from Statement 2: x+y-x-[tex]\frac{60}{100}[/tex]y = 2100-1660
[tex]\frac{40}{100}[/tex]y = 440
y = [tex]\frac{100}{40}[/tex]×440
= 1100
x = 2100-1100
= 1000
Plz help it would mean a lot
Answer:
643663
Step-by-step explanation:
b = d
Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?
Answer:
$98
Step-by-step explanation:
70 is the original price, but the mark up is 40%. So, 40% of 70 is 28
$70 + $28 = $98
please answer the image below
Answer:
Rectangle = l * b = 14 *10
Semi Circle = ( pi * r^2 ) /2
here, diameter of circle is 10 so radius = 5
so area of semicircle = ( pi * 5^2)/2 = 39.26991
so total area = 140 + 36.26991 = 176.26991 or 176.3
Step-by-step explanation:
Step-by-step explanation:
area of the shape = area of rectangle + area of semicircle
area of rectangle = l×b
10×14 =140
area of semicircle
r =d/2
r=10/2=5
[tex] \frac{\pi \times {r}^{2} }{2} [/tex]
[tex] (\frac{22}{7 } \times {5}^{2}) \div 2[/tex]
[tex]78.5 \div 2[/tex]
=32.29
total area = 140+32.29
170.29
170.3
Lita's softball team wone 8 games last month and 10 this month. What was the percent change in games the team won?
if 1 yard of ribbon cost 83 cents how much does 1 foot cost
Answer:
27.7 cents or round to 28 cents
Step-by-step explanation:
3 feet in one yard. 83÷3=27.6666666
Will mark as brainliest if correct!
Answer:
14
Step-by-step explanation:
it's a simple matter of percentage on top of basic subtraction.
[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
Learn more about this concept here:
https://brainly.com/question/17023448
#SPJ2
The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
Question
2. Determine
the
acute
angle
between the planes
x - 2y + 5z = 3
2x + y - 3z = 15.
Distance of a plane from the origin:
Answer:
Acute angle between the two planes: approximately [tex]43^\circ[/tex].
Step-by-step explanation:
Find the normal vector of each plane:
The normal vector of the plane [tex]x - 2\, y + 5\, z = 3[/tex] is [tex]\displaystyle \begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix}[/tex].The normal vector of the plane [tex]2\, x + y - 3\, z = 15[/tex] is [tex]\displaystyle \begin{bmatrix}2 \\ 1\\ -3\end{bmatrix}[/tex].As the name suggests, there is a [tex]90^\circ[/tex] angle between a plane and its normal vector. The following four angles will correspond to the vertices of a quadrilateral:
The [tex]90^\circ[/tex] angle between the first plane and its normal vector.The angle between the normal vector of each plane.The [tex]90^\circ[/tex] angle between the second plane and its normal vector.The smallest angle between these two planes.The sum of these four angles should be [tex]360^\circ[/tex]. Two of these four angles were known to be [tex]90^\circ[/tex]. Once the third angle (the angle between the two normal vectors) is found, subtractions would give the measure of the other angle (the smallest angle between these two planes.)
Make use of the dot product to find the angle between these two normal vectors. Let [tex]\theta[/tex] denote the angle between these two vectors.
[tex]\displaystyle \cos \theta = \frac{\begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix} \cdot \begin{bmatrix}2 \\ 1 \\ -3\end{bmatrix}}{\sqrt{1^2 + (-2)^2 + 5^2} \cdot \sqrt{2^2 + 1^2 + (-3)^2}} \approx -0.73193[/tex].
Before continuing, notice that the smallest angle between the two planes would be [tex]360^\circ - 90^\circ - 90^\circ - \theta = 180^\circ - \theta[/tex].
Consider the identity: [tex]\cos\left(180^\circ - \theta\right) = -\cos \theta[/tex].
In other words, [tex]\cos\left(180^\circ - \theta\right)[/tex], the cosine of the smallest angle between the two planes (which the question is asking for) will be the opposite of [tex]\cos \theta[/tex], the cosine of the angle between the two normal vectors.
Therefore, the cosine of the smallest angle between the two planes will be [tex]-(-0.73193) = 0.73193[/tex].
Apply the inverse cosine function to find the size of that angle:
[tex]\arccos(0.73193) \approx 43^\circ[/tex].
what is 1\10 in semplis form
Answer:
1/10 is the simplest form of the fraction
Helppppppppopp asappppppppp
Answer:
10 = 74°
7 is alternate to 12 so 12 is 74°
I will mark brainliest pls answer ASAP and pls don’t answer if your not sure
What is the cube root of 512m^12n^15?
-16m^4n^5
-8m^5n^4
8m^4n^5
16m^5n^4
Answer: 8m ^ 4n ^ 5
Out of 65 players, 11 play basketball only, 11 play both basketball and cricket. The
players who play cricket is twice the number of players who play basketball. By using
diagram find the number of players who play cricket only and who don't play both the game
Answer:
22
Step-by-step explanation:
you see that there are 11 basketball players. So that means you need to multiply 11 and 2 which equals 22.
qhat is 4c - 11 - 5c + 17 what are the coefficients
Answer:
4 and 5
Step-by-step explanation:
4 and 5 are the co efficients of c
Hello please help I will give brainliest!
Answer:
letter C.
Step-by-step explanation:
because the answer is 65