Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to -2x+4y=8.
Answers
Answer:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
Step-by-step explanation:
Let's write [tex]-2x+4y=8[/tex] to slope-intercept form.
We do this by solving for [tex]y[/tex]
[tex]-2x+4y=8\\[/tex]
Add 2x to both sides
[tex]4y=8+2x[/tex]
Divide both sides by 4
[tex]y=\frac{1}{2} x+2[/tex]
Now that we have that equation in slope-intercept form, the question wants us to find a line that is parallel to it that passes the point (-5, -1).
A line is parallel to another line is they have the same exact slope.
The slope is [tex]\frac{1}{2}[/tex].
Slope-intercept form: [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
So, let's see what we have here so far.
[tex]y=\frac{1}{2}x +b[/tex]
All we have to do is find [tex]b[/tex].
The question wants the line to pass the point (-5, -1).
Let's plug that point in.
[tex]-1=\frac{1}{2} (-5)+b\\-1=\frac{-5}{2}+b\\\frac{3}{2} =b\\[/tex]
We have all the information needed to finish this problem!
So, the line that is parallel to [tex]-2x+4y=8[/tex] and passes through the point (-5, -1).
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
Related Questions
just find the value of x
Answers
Answer:
55°
Step-by-step explanation:
Brooke scored 21 points during the season she scored 9 points more than emily write an equation that can be used to find the amount of points emily scored
Answers
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
At
12 ft
18 ft
Answers
Answer:
36 ft
Step-by-step explanation:
How many terms are in the expression
3x + 2y + Z
4
2
3
5
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3
1. 3x
2. 2y
3. Z
Can anyone help me with problems 18-22?
Answers
Answer:
18.2/3
19.m^2/3
20.1/c
21.3x/2
22.2r/3
Step-by-step explanation:
6 3/8 - 1 5/8 =
What is the answere?
I'll give brainest if right
Answers
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?
Answers
Answer:
When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.
The perimeter of a rectangle can be found using the expression 2ℓ + 2w, where ℓ represents the length and w represents the width. Determine the perimeter if ℓ = 6 units and w = 3 units.
Answers
Answer:
18
Step-by-step explanation:
2(6) + 2(3)
12 + 6 = 18
The perimeter of the rectangle having a length of 6 units and a width of 3 units is 18 units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, The perimeter of a rectangle can be found using the expression
2l + 2w.
Also given that, the length is 6 units and the width is 3 units.
Therefore, The perimeter of this rectangle is,
= 2(6) + 2(3) units.
= 12 + 6 units.
= 18 units.
learn more about rectangles here :
https://brainly.com/question/29123947
#SPJ2
10 POINTS
please help lol
Answers
Answer:
Explanation below:
Step-by-step explanation:
To solve this problem you have to look at the three measurements (base x length x height), which are 7in, 3in, and 5in. For the top of the rectangular prism, the surface area is 21in (7in x 3in) and since the bottom is the same, the bottom is also 21in. Now that you have the top and bottom, let's look at the sides. The surface area for the long-sides is 35in (7in x 5in) and since both sides are the same, they are both 35. The surface area for the ends of the rectangular prism is 15in (5in x 3in) and since they are both the same, they are both 15in. Now that you have figured out what measurement goes with what, add all them up. (21in +21in) = 42in | (35in +35in) = 70in | (15in + 15in) = 30in
42in + (70in + 30in)
42in + 100in
The surface area for the entire shape is 142 inches.
The number 2016 is divisible both by 32 and by 36. What is the
next greatest number that is divisible by both 32 and 36?
Answers
The next number is 2016+LCM[32, 36]=2016+288=2304
What is the are a square with a side length of 3x + 4.
Answers
8. Four Men working together can finish a house repair job in 12 days.
How many days will 6 men working at the same rate finish the same ja
9 Which of the
Answers
Step-by-step explanation:
if 4 men did the job in 12 days , then each of the 4 men worked for 12 days , which means they worked for 4*12=48 days , so the job takes 48 work days to complete. If all men work at the same rate, then these other 6 will complete the job in
[tex] \frac{48}{6} = 8 \frac{days}{man} [/tex]
Therefore, it’ll take the group of 6 men 8 days to complete the job.
Function p gives the perimeter of an equilateral triangle of side length s. It is represented by the equation p(s)=3x
a. What does P(s)=60 mean in this situation?
b. Find a value of s to make the equation P(s) = 60 true.
Answers
Answer:
A) p(s) means that the perimeter of the triangle is 60 units.
B) A value to make the equation true is s = 20
Step-by-step explanation:
In the equation p(s) = 60, 60 represents the perimeter of the equilateral triangle.
To find a value of s that makes the equation p(s) = 60 true, plug in 60 as p(s) and solve for s.
p(s) = 3s
60 = 3s
20 = s
So, s = 20 will make the equation true
Rapunzel sees a flying saucer. The radius of the flying saucer is 18 feet. What is the area of the flying saucer using 3.14 rounded to the nearest tenth
Answers
Answer:
[tex]1017.4ft^{2}[/tex]
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
However, the question wants to use 3.14 instead of [tex]\pi[/tex].
Since the radius is given, which is 18 feet, we can plug and chug.
[tex]A = 3.14*(18ft)^{2} \\A = 3.14*324ft^{2}\\A = 1017.36ft^{2}[/tex]
However, the question wants us to round it to the nearest tenth.
Therefore, the answer is [tex]1017.4ft^{2}[/tex]
The table below shows some prices at a produce stand. Produce Price per Pound Onions $0.75 Yellow Squash $1.99 Spinach $4.00 Potatoes $0.50 Selena has $11. What is the greatest amount of spinach she can buy? The greatest amount of spinach that Selena can buy is pounds.
Answers
Answer:
Step-by-step explanation:
The greatest amount of spinach that Selena can buy is 2 lbs
11/4=2.75
she can buy 2.75 lbs
Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75
Answers
Step-by-step explanation:
[tex]3.5(1.6 + 4.6 - 8.5) - 9.75[/tex]
[tex]5.6 + 16.1 - 29.75 - 9.75[/tex]
[tex]21.7 - 39.5[/tex]
[tex] - 17.8[/tex]
ege bölgesinin doğusu batısından daha yüksektir doğrumu yanlışmı
Answers
Answer:
doğru
Step-by-step explanation:
Ewan ko basta yan yung sagot
Factor by grouping 5·(a+3)^2-(a+3)
Answers
Answer:
(a+3)(5a+14)
Step-by-step explanation:
Hope this helps
17 is a prime number. What can you conclude from this?
Answers
Answer:
17 can't be divided into 2 and it's a odd number.
Answer:
17 is a prime number because it is only divisible by 1 and 17 ..
Martin finds a shirt on sale for 20 %off at a department store. The original price was 10$ Martin must also pay 8.5% sales tax. How much is the shirt before taxes are applied? How much is the shirt after tax is applied?
Answers
Answer:
Step-by-step explanation:
Sale price = 80% of $10 = 0.80×$10 = $8
price + tax = 1.085×$8 = $8.68
Answer:
$8.00
Step-by-step explanation:
i did the math
Having trouble with functions again can someone help plz
Answers
Step-by-step explanation:
it's the The Definition of Differentiation
f(x)= 2x+3
= 2 after the Differentiation
using the definition of Differentiation
[tex] \frac{2(x + h) + 3 - (2x + 3)}{h} = \\ \frac{2x + 2h + 3 - 2x - 3}{h} \\ = \frac{2h}{h} = 2[/tex]
Can anyone help with 11-15?
Answers
12. 2/6
13. 1/4
14. 1/5
15. 1/3
Answer:
11. 1/3
12. 2/5
13. 1/4
14. 1/5
15. 1/3
Step-by-step explanation:
Divide by GCF
Find the limit:
lim e−9x sin x
x→0
Answers
Answer:
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x[/tex]
Step 2: Evaluate
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = e^\big{-9(0)} \sin(0)[/tex]Simplify: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
A baseball can travel 60 meters in 4 seconds. How fast is its average speed?
Answers
Answer:
v = 15m/s
Step-by-step explanation:
60 = v * 4
==> v = 15m/s
A self-serve car wash charges $5.81 to use its facilities, plus an additional $0.51 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
Answers
$5.81 + the 51 cents equals to $6.32. $6.32 times 5 equals $31.06. Hope this helps!:)
Answer:
Tiffany was charged $8.36
Step-by-step explanation:
From the question, we can create the following equation where "c" is the amount of money she was charged, and "m" is the number of minutes Tiffany is in the car wash...
c = 0.51m + 5.81
Since in our case "m" equals 5, then...
c = 0.51m + 5.81
c = 0.51(5) + 5.81
c = 2.55 + 5.81
c = 8.36
Therefore Tiffany was charged $8.36
How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?
Answers
Answer:
$43.2
Step-by-step explanation:
You need to divide 40 by 100 then multiply by 8, after that add what you get to 40.
Is 4x-10y=2 equal to 4x-3y=0?
Answers
Answer:
No it is not
Step-by-step explanation:
HELP!
Write two mixed numbers so that all rules are applied:
1. One number is larger than the other by 4 2/3
2. The difference of the numbers is equal to the smaller number.
3. The sum of the numbers is natural number
Answers
Answer:
Step-by-step explanation:
“One number is larger than the other by 4 2/3”
x = y + 4⅔
“The difference of the numbers is equal to the smaller number.”
x-y = y
x = 2y
y + 4⅔ = 2y
y = 4⅔
x = 2y = 9⅓
“The sum of the numbers is natural number”
x+y ∈ ℕ
9⅓ + 4⅔ = 14 ∈ ℕ
Answer:
9 1/3 and 4 2/3
Step-by-step explanation:
:)
Measure these angles.
a)
b)
Please help
Answers
Answer:
bro haw can we measure it from mobile
In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
I
65
31
J
H
Answers
Answer:
14
Step-by-step explanation:
Dz
Answer:
H=28.4846≈28.5
Step-by-step explanation:
SOH-CAH-TOA
sinH= opposite/hypotenuse=31/65
sinH=31/65
H=28.4846≈28.5 Type into calculator and round to the nearest tenth of a degree.
28.5