The work is shown in the attached images. Each equation is labeled for slope intercept and standard form
y=-1/5x +18/5
5y+x=18
The equation of line passing through point (-2,4) and parallel to x+5y=7 in
standard form is [tex]x+5y =18[/tex]
slope intercept form is [tex]y = \frac{-1}{5}x + \frac{18}{5}[/tex]
What is equation of line?The equation of line is a linear equation with degree of one and an algebraic form of representing the set of points, which together form a line in a coordinate system.
Formula for a equation of line[tex](y-y_{1} ) = m(x-x_{1} )[/tex]
where,
[tex](x_{1}, y_{1} )[/tex] are the points through which the line passes
m is the slope of line
(slopes of parallel lines are equals)
Forms for the equation of lineslope intercept form : y = mx +b (where, b is the y intercept.)intercept form: [tex]\frac{x}{a} +\frac{y}{b} =1[/tex] (where a is x intercept and bis y intercept)standard form: ax + by = cAccording to the given question
we have
Equation of line x+5y=7
a point (-2,4)
slope of the line x+5y = 7 by placing it into slope intercept form:
x+5y = 7
⇒ 5y = -x+7
⇒ y = [tex]\frac{-x}{5} +\frac{7}{5}[/tex]
the slope of the line, m=[tex]\frac{-1}{5}[/tex]
here, the point (-2,4) and slope is m= [tex]\frac{-1}{5}[/tex]
therefore the equation of line which is parallel to x+5y =7 and passing through (-2,4) is:
[tex](y-4)=\frac{-1}{5}(x-(-2))[/tex]
⇒[tex](y-4) = \frac{-1}{5} (x+2)[/tex]
⇒ [tex]5(y-4)= -x-2[/tex]
⇒[tex]5y-20 = -x-2[/tex]
⇒[tex]x+5y= 20-2[/tex]
⇒ [tex]x+5y = 18[/tex]
so,
(a). the equation of line in slope intercept form is given by
[tex]5y= -x+18[/tex]
[tex]y = \frac{-1}{5}x+\frac{18}{5}[/tex]
(b). the standard form of line is x+5y = 18.
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of a car for $40,300 at 2.5% add on rate for 5 years. What is the APR?
Answer:
$45,337.5
Step-by-step explanation:
1. 2.5 * 5 = 12.5
2. $40,300 + 12.5%
Hope This Helps :)
CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!
Answer:
[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]
Step-by-step explanation:
[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]
Elena is going to mow lawns for the summer to make some extra money. She will charge $20 for every lawn she mows and plans on mowing several lawns each week.
Let n = the number of lawn she mows.
Write an expression for the total amount she will charge for all of the lawns she mows.
will brainlist
Answer:
Kx20=N
Step-by-step explanation:
k with be the number multiplied by 20 and then N will be the answer
The expression for the total amount she charged can be represented as A = 20n.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
For example 2x = 54
An expression is a mathematical proof of the equality of two mathematical expressions.
Given that,
She will charge $20 for every lawn
Number of lawns she mows = n
Total charge let's represent by A
Then,
A = 20n will be the correct expression.
Hence "The expression for the total amount she charged can be represented as A = 20n".
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can someone help me? it’s due in like 10 minutes
Answer:
B. 3x + y = 4
Step-by-step explanation:
y = -3x + 4
Check:
3x + y = 4
-3x -3x
y = -3x + 4
Answer:
It is B
Step-by-step explanation:
This is because if you use the point (1,1) for example then both x and y are 1.
1 X 3 = 3 and 3 + 1 = 4.
What is the least common denominator of 5/6 and 3/8?
Answer:
Step-by-step explanation:
5/6 and 3/8 LCD is 24
(8.2k - 6) - (4.5 - 9k)
Answer: -5.3k-6
Step-by-step explanation: I dont know if its correct but this is what i got (i hope this helps:)
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6) ?
The possible answers are
y=0.25x +3
y=0.25x - 4.5
y=4x + 18
y=4x - 42
In your own words how do you graph an equation that is in slope-intercept form?
Step-by-step explanation:
find the y intercept then graph using your slope
Help ASAP please!!
Which congruence theorems can be used to prove ABR is congruent toACR? Select three options.
•HL
•SAS
•SSS
•ASA
•AAS
Answer:
SAS, HL, and something else
Answer: HL SAS SSS
Step-by-step explanation:
Before her hike, Lara filled her water bottle with 4 cups of water. During the hike, she drank about 10 fluid ounces every hour. Afterward, she had about 12 fluid ounces left. How many hours did she hike?
Answer:
Lara hiked for 2 hours.
Step-by-step explanation:
1 cup = 8 ounces
4 cups = 32 ounces
32 - 10h = 12
10h = 20
h = 2
Lara hiked for 2 hours.
A cup contains 8 fluid ounces so the total number of ounces that Lara had before the hike was:
= Number of cups x fluid ounces per cup
= 4 x 8
= 32 fluid ounces
After the hike, Lara was left with 12 fluid ounces which means that she consumed:
= 32 - 12
= 20 fluid ounces
She drank 10 fluid ounces per hour so the total number of hours she hiked were:
= Number of fluid ounces consumed / Fluid ounces per hour
= 20 / 10
= 2 hours
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Please just give me a good explanation on how to reflect the x-axis and y-axis so I can learn it on my own as well as answering the question in the picture.
Answer:
Alright! BTW, the answer to the question is D :)
Step-by-step explanation:
Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.
Hope I helped!
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct? *
If she covered 2.5 miles, she rode for 4 hours.
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answer: A
Step-by-step explanation:
Because if she rode 10 mph means that she would ride 2.5 miles in 0.25 hours because if you divide 10 by 2.5 then you would get 0.25.
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
HELP ME ASAP
graph f(x)=3x+4 and h(x)=f(x+3)
The standard form for expressing the equation of a straight line is
y = mx + b
Given the functions from the question f(x) = 3x + 4
If h(x) = f(x+3)
Replace x with x+3 in the function f(x) to have;
h(x) = 3(x+3) + 4
h(x) = 3x + 9 + 4
h(x) = 3x + 13
Hence the required graph for both functions are attached below;
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Graph the greatest integer, f(x) = [x]
Answer:
Step-by-step explanation:
What is the equation for the following graph?
Answer:
x=4
Step-by-step explanation:
elena receives $200 for a birthday present, which she deposited in a bank account. Every month she withdraws $25. how much will she have left in her bank?
Answer:
8 months
Step-by-step explanation:
for every 100 four 25s and these two 100s so 8
hope this helps
URGENT!!!!!
3sin^2θ-17sinθ+10=0
Determine the θ
The area of a rectangular pool is 7719m2. If the width of the pool is 83m, what is its length?
Answer:
The answer is 93 mStep-by-step explanation:
Area of a rectangle = l × w
l is the length
w is the width
From the question
Area = 7719 m²
width = 83 m
We have
[tex]7719 = 83l \\ \frac{83l}{83} = \frac{7719}{83} [/tex]
We have the final answer as
length = 93 mHope this helps you
p-25=16
[tex]its \: pretty \: easy \: n \\ boys[/tex]
thank you for helping
SHOW WORK
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Answer:
$1017.19
Step-by-step explanation:
First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.
Answer:
Asumming that you are rounding to the nearest hundreth:
1,017.19
Step-by-step explanation:
Find [tex]\frac{1}{8}[/tex] of 2,712.5 to find how much money Paulo spends on his car.
[tex]\frac{1}{8}[/tex] = .125
Multiply 2,712.5 by .125
2,712.5 × .125 = 339.0625 ≈ 339.06
Now, find [tex]\frac{1}{4}[/tex] of 2,712.5 to find how much paulo spends on his rent.
[tex]\frac{1}{4}[/tex] = .25
Multiply 2,712.5 by .25
2,712.5 × .25 = 678.125 ≈ 678.13
Add the two values together to get your answer
339.09 +
678.13
----------
1,017.19
(Another way to dolve this problem would be to find [tex]\frac{5}{8}[/tex] of 2,712.5 and subtract it from the origional value, 2,712.5)
which line segment shows the height that corresponds to the given base of the triangle?
Answer:
is this full question
Step-by-step explanation:
there is no line segment or triangle
57 is greater than x - 8
This is an inequality.
This is what the statement should look like: [tex]57 > x - 8[/tex]
Now, you can actually "properly" reverse these meaning the equality sign changes too. So basically you can mirror them.
The "mirrored" inequality expression would look like this: [tex]x - 8 < 57[/tex]
Now just like normal algebra, you can transpose these terms from 1 side to another and so, -8 would transpose to the right hand side and the operation would be the inverse or in this case, addition. The expression would look something like this: [tex]x < 57 + 8[/tex]
Add them up and you get: [tex]x < 65[/tex] :D
a portion of the quadratic formula proof is shown. fill in the missing reason.
ax^2+bx+c=0 —— Given
ax^2+bx=-c ——subtract c from both sides of the equation
x^2+b/a x=-c/a —— divide both sides of the equation by a
x^2+ b/a x+(b/2a)^2=-c/a+(b/2a)^2 —— complete the square and add (b/2a)^2 to both sides.
x^2+ b/a x+(b/2a)^2=-c/a+b^2/4a^2 —— square (b/2a) on the right side of the equation.
x^2+ b/a x+(b/2a)^2=-4ac/4a+b^2/4a^2—— find a common denominator on the right side of the equation.
x^2+ b/a x+(b/2a)^2=b^2-4ac/4a^2 —— ?????
A-multiply the fractions together on the right side of the equation
B- subtract 4ac on the right side of the equation
C- add 4ac to both sides of the equation
D- add the fractions together on the right side of the equation
9514 1404 393
Answer:
D- add the fractions together on the right side of the equation
Step-by-step explanation:
In the previous step, the fractions are written with a common denominator. In the last step, the two fractions are combined (added together).
The best description of those provided is ...
D- add the fractions together on the right side of the equation
Integers were used in the 15th century by European traders to label barrels of grain or flour. For example, a barrel that was 1 pound too heavy was labeled +1, and a barrel that was 1 pound too light was labeled –1.
A trader checked twenty 50-pound barrels and found the labels to be: five –3s, nine –5s, two +4s, and four –8s. Find the actual total weight of the barrels.
Answer:
sorry if i knew i would of told you bc i need help with that 2
Step-by-step explanation:
where the same person HE He!!
Which of the following represents a molecule?
Cu
Ca
CO
Cu
Co
Answer:
CO
Step-by-step explanation: C for: corbin (I probably spelt that wrong) and O for: oxygen
What is 12 times 164
Answer:
1968
Step-by-step explanation:
give me brainliest plsssss tysm
Answer:
1,968
Step-by-step explanation:
plz brainiest
Last question Please I really need help ASAP! I WILL GIVE BRAINLIEST!!!!!
∠AOB is a right angle.
OC bisects ∠ AOB
D is on the interior of ∠ AOC
E is on the interior of ∠ COB
∠ AOD = 23 degrees
∠ DOC is congruent to ∠ EOB
∠ BAD = ∠ EAF = ∠ FAC
Draw this picture and then using that picture identify the true statements below.
a)
m∠ DOC = 23
b)
m∠ DOC = 22
c)
m∠ AOC = 90
d)
m∠ COE= 23
e)
m∠ AOC= 45
Step-by-step explanation:
a) is true
b) is true
c) is false
d) is false
e) is true
Find PM pls help fast
Answer:
I think it is 4 but, im not sure
simplify the expression.
-5+i/2i
Answer:
[tex] \rm - \dfrac{11}{2} [/tex]
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2} [/tex]