Answer:
The parallel equation is y=[tex]\frac{5}{2}[/tex]x-5.
The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.
Step-by-step explanation:
First solve for y.
-5x+2y=8
2y=5x+8
y=[tex]\frac{5}{2}[/tex]x+4
A line is parallel if it has the same slope, but different y-intercepts.
The y-intercept of the given point is -5, so the new slope will be y=[tex]\frac{5}{2}[/tex]x-5
To find a perpendicular line, you find the negative reciprocal of the given slope.
So you find [tex]\frac{-1}{\frac{5}{2} }[/tex], which is equal to [tex]\frac{-2}{5}[/tex].
The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.
Answer:
Step-by-step explanation:
A straight line will be parallel to another straight line only if their slopes are equal .A straight line will be perpendicular to another straight line only when the product of their slopes is -1 Part ALet 's bring the function -5x+2y=8 to the standard form 2y=8+5x y=2,5x+4 A parallel line passes through a point (-5; -3); and this meansy=2,5x+b 2,5*(-5)+b=-3 b=9,5 y=2,5x+9,5 -straight parelenai straight y=2.5x+4 Part B Let 's bring the function -5x+2y=8 to the standard form y=2,5x+4 y=kx+b And we know k*2,5=-1=> k=-0,4 y=-0,4x+b -0,4*(-5)+b=-3b=-1y=-0,4x-1 - Straight perpendicular to the straight line y=2.5x+4Suppose you drive a car 156 miles on one tank of gas. The tank holds 12 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)
The number of miles traveled varies directly with the number of gallons of gas you use.
a. Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.
b. How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)
I will give branliest, thanks so so much.
Answer:
a. f(g) = g * 13
b. 48.1
Step-by-step explanation:
3.7 * 13 = 48.1
A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a red maple tree is 17%. The profit for the entire stock is 20% how much was invested in each type of tree. I NEED THE ANSWER ASAP PLEASE
Answer:
Sorry do not have your answer
Step-by-step explanation:
See question in image.
Answer:
22677.69Step-by-step explanation:
Given
Amount of contribution P = 500Interest rate r = 8% or 0.08Number of compounds n = 4Time t = 30 yearsFind the annuity using the formula below:
[tex]A= P*(1 - (1 + r/n)^{-nt})/(r/n)[/tex][tex]A= 500*(1 -(1+0.08/4)^{-30*4})/(0.08/4) = 22677.69[/tex](3n-4n+1)-(8n-4n+17)
Answer:
-5n - 16
Step-by-step explanation:
Step 1: Distribute the negative sign.
[tex]3n - 4n + 1 + (-1)(8n) + (-1)(-4n) + (-1)(17)[/tex] [tex]3n - 4n + 1 - 8n +4n - 17[/tex]Step 2: Combine like terms.
[tex](3n-4n-8n+4n)+(1-17)[/tex] [tex]-5n - 16[/tex]Therefore, the answer is -5n - 16.
HELP ME PLS
If you do the unit review, you will do well on the test.
If you do well on the test, then you will do well in the course.
Therefore, if you do the unit review, then you will do well in the course.
A. This conclusion was drawn using the law of detachment
B. This conclusion was drawn using the law of contrapositive
C. This conclusion was drawn using the law of syllogism
D. An invalid conclusion was made
Answer:
A.The conclusion was drawn from the law of detachment
if p is q
and q is r
then p is r
Step-by-step explanation:
PLS MARK BRAINLIEST
A sequence is defined by g(1) = 3 and g(n) = 2 • g(n-1) for n > 0. Which statement defines the nth term of g?
A. G(n) = 3 + 2(n-1) for n ≥ 1
B. G(n) = 3 + 2n for n ≥ 1
C. G(n) = 3 • 2^n-1 for n ≥ 1
D. G(n) = 3 • 2^n for n ≥ 1
Answer:
because g(n) = 2.g(n - 1) => this is a geometric progression
=> g(n) = 3.2^(n-1)
Step-by-step explanation:
y=5x+2 I just need to find the slope
Answer:
the slope is 5. this is bc the m in y=mx+b is the slope
Please solve the math problem for me... I will mark you brainliest
Answer:
[tex]x=34[/tex]
Step-by-step explanation:
*it's kind of hard to read the number in parenthesis though but i think it's 5
both angles have to add up to 180º because they are co-exterior angles on parallel lines.
[tex]2(x+5)+102=180\\2(x+5)=78\\2x+10=78\\2x=68\\x=34[/tex]
I’ve spent too long on this. Pls help!!
Answer: bro i dont know. SORRY :(
Answer:
14 10 cent coins
Step-by-step explanation:
Assumption method:
Assume all are 10 cent
10x48=$4.80
8.20-4.80=3.40
10x47=$4.70
1x20=$0.20
$4.70+$0.20=$4.90
Gap= $3.40
Difference=$4.90-$4.80=$0.10
Gap÷Difference= $3.40÷0.10=34 20 cent coins
48-34=14 10 cent coins
I think its like this.
What does angle A equal
5X-50+2X+80-X=180..............
Hey there!
5x - 50 + 2x + 80 - x = 180
COMBINE the LIKE TERMS
= 6x + 30 = 180
SUBTRACT 30 to BOTH SIDES
6x + 30 - 30 = 180 - 30
CANCEL out: -30 - 30 because that gives you 0
KEEP: 180 - 30 because it helps solve for the x-value
6x = 180 - 30
180 - 30 = 150
NEW EQUATION: 6x = 150
DIVIDE 6 to BOTH SIDES
6x/6 P 150/6
CANCEL out: 150/6 because that gives you the result of the x-value
x = 150/6
SIMPLIFY IT!
x = 25
Therefore, your answer is: x = 25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Factor the following
1. 15x+ 20
2. 18x-12
3. 6m+8n+4
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 packages of water and 3 packages of cheese sticks
Step-by-step explanation:
the least common multiple of 6 and 10 is 30
Y=z/(x) make x the subject
And add a function machine
Answer:
x=y/z
Step-by-step explanation:
Determine whether the pair of lines is parallel, perpendicular, or neither.
x−2y=−1
y=5x−3
Answer:
neither
Step-by-step explanation:
put the first equation in slope intercept form
x-2y=-1
-2y= -x -1
y = 1/2x +1/2
the slope is not the same, and it is not the opposite, so it is neither
have a lovely day <3
QUICKKK QUICCKK QUICKK PLZZZ HELPP ME
The product of 18 and Q algebra expression
Answer:
18q
Step-by-step explanation:
18*q=18q
Hope that helped :)
Answer:
[tex]18 \times q[/tex]
[tex]18q[/tex]
multiply 18 by q to get 18q as the answer
What is the equation of the line in slope-intercept form?
Answer:
y = 1/8x + 6
Step-by-step explanation:
y = 1/8x + 6
Find the measure of each marked angle.
Answer:
X= 15, m∠78°
Step-by-step explanation:
Since the angles are vertically opposite
Therefore their measurements are equal
Therefore (2x + 48 ) = (5x + 3 )
So,
[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]
[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]
They both equal 78°
please help me, please
Answer:
A: 51
B:45
C:29
D:-316
Answer:
a. 51
b. 9
c. -3
d. -316
Answer get brainliest
Answer:
Step-by-step explanation:
you need to use the protractor form mathswatch to get the answer
2x + y + 6z = + 1
3x + 2y + 5z = 16
7x + 3y - 4z = 11
Answer:
1) x=1/2-y/2-3z
2)x= 16/3- 2y/3- 5z/3
3)x= 11/7- 3y/7+ 4z/7
Step-by-step explanation:
isolate the variable, to do that divide each side by the factors that don't contain the variable
If f(x) is an exponential function where f(-2) = 1 and f(7) = 63, then find the
value of f(1), to the nearest hundredth.
An exponential function is represented as: [tex]\mathbf{f(x) = ab^x}[/tex]
The value of f(1) is 3.95
f(-2) = 1 means that:
[tex]\mathbf{ab^{-2} = 1}[/tex]
f(7) = 63 means that:
[tex]\mathbf{ab^{7} = 63}[/tex]
Divide both equations
[tex]\mathbf{\frac{ab^7}{ab^{-2}} = \frac{63}{1}}[/tex]
Apply law of indices
[tex]\mathbf{b^9 = 63}[/tex]
Take 9th root of both sides
[tex]\mathbf{b =1.58}[/tex]
Make a, the subject in [tex]\mathbf{ab^{-2} = 1}[/tex]
[tex]\mathbf{a = \frac{1}{b^{-2}}}[/tex]
[tex]\mathbf{a = b^2}[/tex]
Substitute [tex]\mathbf{b =1.58}[/tex]
[tex]\mathbf{a = 1.58^2}[/tex]
[tex]\mathbf{a = 2.50}[/tex]
So, we have:
[tex]\mathbf{f(x) = ab^x}[/tex]
[tex]\mathbf{f(x) = 2.50 \times 1.58^x}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 2.50 \times 1.58^1}[/tex]
[tex]\mathbf{f(1) = 3.95}[/tex]
Hence, the value of f(1) is 3.95
Read more about exponential functions at:
https://brainly.com/question/3127939
how much are 3 books if they add up to $24 and all of the prices are multiples of 4
PLEASE HELP WILL GIVE BRAINLIEST!!!!
write "3 times the difference of 5 and y equals 4" as a variable expression
Answer:
3(5-y)=4
Step-by-step explanation:
Key Words:
The difference
equals
times
When using parenthesis, you multiply. The difference means to subtract. And equals means something is equal to it.
Find the image of (1,2) after a
reflection about x = 6 followed by a
reflection about x = 4.
Answer:
(-3,2)
Step-by-step explanation: pls mark as brainlyist
The coordinates of the vertices of ABC are A(3, 3), B(7,7), and C(7, -1) What type of triangle is triangle ABC? Use coordinate geometry to answer the question.
Answer:
A right triangle
Step-by-step explanation:
If you create a graph and plot the points you should see that BAC or CAB is 90°
A package of 5 pairs of insulated gloves costs $38.45 What is the unit price of the pairs of gloves? pls answer fast!!!!
Answer:
7.69 per gloves
Step-by-step explanation:
help me with this problem please
Answer:
[tex]y = \frac{ - 3x + 6}{2} = \\ x = 4 \\ y = \frac{ - 3 \times 4 + 6}{2} = \frac{ - 12 + 6}{2} = \frac{ - 6}{2} = - 3[/tex]
You start at (8, 9). You move left 5 units. Where do you end?
Answer: (3,9)
Step-by-step explanation:
Move left so on the x-axis. Up/down is on the y-axis.
Left is negative, right is positive on the x axis.
8 -5 = 3
(3,9)
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