Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
y=½x+5
Step-by-step explanation:
Passes through, (1,3)
Perpendicular to x-2y=-8.
Step 1
write the equation in form of y=mx+c
x-2y=8
-2y=-x+8
Dividing both sides of the equation by -2 we get;
y=-x/2+8
y=-½x+8
Thus the gradient is -½. Call it M1
Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e
M1 × M2= -1
Solve for M2
-½×M2=-1.
Dividing both sides by -½ we get
M2=-1×-2
M2=2Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8
Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).
Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.
Slope=∆x/∆y
M2=(x-1)/(y-3)
but M2 is 2
2=(x-1)/(y-3)
2/1=(x-1)/(y-3) Note: 2= 2/1
Cross multiplying we get:
2(y-3)=1(x-1)
Open the brackets
2y-6=x-1
Solve for y so as to write the equation in form of y=mx+c
2y=x-1 +6
2y=x+5
Divide both sides of the equation by 2
y=x/2+5
y=½x+5Christa wants to put a fence
around her triangular flowerbed.
The sides of the flowerbed are
six feet, eight feet and 10 feet.
How many feet of fencing will
she need to enclose her flowerbed?
Answer:
240 feet
Step-by-step explanation:
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°
Consider the rectangle reduction.
What is the missing dimension of the reduced rectangle?
11/5, 11/8, 17/15, 17/20.
Answer:
11/15
Step-by-step explanation:
17/8 is to 17/20 as 11/6 is to x.
(17/8) / (17/20) = (11/6) / x
(17/8)x = 17/20 * 11/6
(17/8)x = 187/120
(8/17) * (17/8)x = 8/17 * 187/120
x = 11/15
Answer:
11/15
Step-by-step explanation:
just got it right !! :)
How do you divide decimals 10.305 divided by2.5?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]10.305 \div 2.5 = [/tex]
[tex]10.305 \div \frac{10}{4} = \\ [/tex]
[tex]10.305 \times \frac{4}{10} = \\ [/tex]
[tex] \frac{10.305 \times 4}{10} = \\ [/tex]
[tex] \frac{41.220}{10} = \\ [/tex]
[tex]4.1220[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Graph this compound inequality: x 9.8
Can someone help please
Answer:
BCEDAI hope this helps!
Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
brainly.com/question/28380652.
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y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4
Answer:
A
Step-by-step explanation:
The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)
which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2
q(x)=2 −2+? please solve this huhu
Answer:
I mean it would just be q(x) = 0
Step-by-step explanation:
Answer: q=0
Step-by-step explanation: Let's solve for q.
qx=2−2
Step 1: Divide both sides by x.
qx
x
=
0
x
q=0
Answer:
q=0
Helppp meeee plzzz thanks
Answer:
500+4=504
Step-by-step explanation:
Hope it helps
What is 0.0033 in scientific notation?
Answer:
[tex]=3.3*10^{-3}[/tex]
3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3
Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.
How many pieces of glass will he need to make a window that is 864 square inches?
Answer:
Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.
Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2
Answer:
it's b on edge 2020
Step-by-step explanation:
you're welcome :)
The equations of the line that passes throught the point given in the table are as follows;
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
Equation of a straight lineThe linear equation of a striaght line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 1 - 2 / -4 + 10
m = - 1 / 6
Let's find b using (-10, 2)
2 = - 1 / 6(-10) + b
2 = 5 / 3 + b
b = 2 - 5 / 3
b = 6 - 5 / 3
b = 1 / 3
hence,
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
using y - y₁ = m(x - x₁)
y₁ = 2
x₁ = -10
m = - 1 / 6
Hence,
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
learn more on equation of a line here: https://brainly.com/question/20897328
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Find the quotient: (27^x+3)/(9^x+2)
Answer:
Mutiply each bracket together and then separate the terms with x
what is the value of x if a² + ax - 10 is divided by a-2?
help with computation po
Answer:
x = 3
Step-by-step explanation:
We need it in factorized form to get x.
If the quadratic equation can be divided by a-2 the first part is:
(a-2)
Now to get a², the a must be multpilied by itself. So
(a-2)(a)
To get -10, -2 must be multiplied by 5. So:
(a-2)(a+5)
we can expand to get x
a² + 5a - 2a -10
a² + 3a - 10
a² + ax - 10
x = 3
Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
2
Step-by-step explanation:
1.45
--
Decimal as fraction
Answer:
1.45 as a fraction is 29/20
Step-by-step explanation:
which of the following is a solution to the inequality 4x-5y<10
Answer:what is the following
Step-by-step explanation:
Helpppppp I don’t get it
Answer:
-3y + 2x - 4
Step-by-step explanation:
Answer:
-3y - 4 + 2x
Step-by-step explanation:
when it says combine like terms, it means combine the terms that have the same variable
-7y, -2y, and 6y all have the same variable: y
so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)
-2 and -2 are like terms, they don't have a variable
when you combine them, you get -4
-4x and 6x are like terms, their common variable is x
when you combine these, you get 2x
now put your answers together to get -3y - 4 + 2x
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?
Answer: 8
Step-by-step explanation:
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Calculation of the time taken:Since An element with a mass of 650 grams decays by 13.2% per minute. and there is 220 grams of the element remaining.
So, the mass decays be
= 650 - 220
= 430
Now the total percentage be like
[tex]= 430 \div 650[/tex]
= 66.15%
Now the time taken should be
= [tex]66.15\div 13.2[/tex]
= 5 minutes
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Learn more about time here: https://brainly.com/question/21207761
f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3
Find (f +g)(x).
Answer:
5x^3 - 4x^2 + 6x - 7Step-by-step explanation:
Given
f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3To find
(f +g)(x)Solution
(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3 =5x^3 - 4x^2 + 6x - 7Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan
Answer:
2415 Chinese yuan (rounded off to nearest yuan)
Step-by-step explanation:
£0.13 = 1 Chinese yuan
£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan
= 2415 Chinese yuan (rounded off to nearest yuan)
Given that
5x:9=7:3
Calculate the value of
x
Answer:
x = 4.2Step-by-step explanation:
Given 5x:9=7:3 To findThe value of xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2Answer:
4.2
Step-by-step explanation:
5x:9=7:3
5x/9=7/3
5X×3=7×9
15x=63
X=63/15
X=4.2
So the value of the X is 4.2
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)
D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F
Answer:
A) E, F, H, N
Step-by-step explanation:
I think so......
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
hey. help pls and thank you