Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).
First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."
5x+4y=2
-5x -5x (subtract 5x from both sides to move it to the right side of your equation)
4y = 2 - 5x
/4 /4 /4 (divide all the terms by 4 to get "y" by itself)
y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.
Now, we know that our slope, m , is going to be -(5/4).
Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:
y = 5
m = -(5/4)
x = 7
y=mx+b
5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.
5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4
20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)
+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b
55/4 = b ... or b = 13.74
Answer:
m = -(5/4)
b = 13.75
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
The line passes through the points (5, -1) and (7, -5)
That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]
Calculate the slope(m) using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]
The equation of the new line perpendicular to the line above will be given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
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which table represents a linear function?
Answer:
the first
Step-by-step explanation:
can someone help me please
Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
In the following figure the value of x is.....
a)10 b) 15 c) 65 d) 25
Answer:
"In the following figure"?
There is no following figure
Step-by-step explanation:
V^2=u^2 + 2as rearrange to s subject
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
Jim holds $50.000 in money at the beginning of the year. The annual inflation rate is 2 percent, and the price level rises from 10 to 1.02. What is the "inflation tax" that Jim pays at the end of the year? Jim pays an inflation tax of
Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000
Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.
With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:
= Cash holdings x Inflation rate
= 50,000 x 2%
= $1,000
In conclusion, Jim will pay an inflation tax of $1,000.
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Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
A store-bought 400 toys at a cost of $10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.
Answer:
Step-by-step explanation:
38+105= 143, 39+104=143, and you will find then adding the numbers
I dont know how to solve these still
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
which reason would be used to justify the last step in the proof below
Answer:
1.
Step-by-step explanation:
3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.
Answer:
Hello!
After reading the question you have provided I have come up with the correct numerical expression:
4x5-1
Step-by-step explanation:
To come up with this solution you need to keep in mind some of the terminoloy being used.
The word "subtract" comes from the action of subtraction
The word "product" comes from the action of multiplication
Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".
So you get the first part being 4x5
Then, you add in the last part of "subract 1" from the "product of 4 and 5":
4x5-1
Remember to keep in mind the rule of "PEMDAS"
You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.
Here to form the numerical expression we will first do the product of 4 and 5 and then subtract 1 from their resultant and that is ou required answer.
What is numerical expression ?A numerical expression is written in terms of numbers and their operations numerical expression can of many types for example arithmatic expression , alzebraic expression etc.
some examples of arithmatic operations are -
240+130 = 370
240÷12 = 20
Some examples of alzebraic expressions are
3x + 4y = 7
x² + 3x - 7 = 0
In the given question subtract 1 from the product of 4 and 5 can be expressed as (4x5) - 1 = 20 - 1 = 19
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A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km
Step-by-step explanation:
altitude here is represent by height ok in this case...
if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...
and the information from the question just sun it into the tan formula...this is trigo...
then u add the value to get the total distance..
the answer is 13.87km
hope u understand...
PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answer:
3/8 or 0.375
Step-by-step explanation:
............
Answer:
5/4
Step-by-step explanation:
Area of a rectangle = length * width
A = 3/4, W = 3/5, L = ?
3/4 = L * 3/5
[tex]\frac{3}{4}= L\frac{3}{5}[/tex]
L * 3 * 4 = 3 * 5
12L = 15
L = 15/12 = 5/4
What is 43% of what is 27?
Answer:
[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]
[tex]11.61 \: is \: the \: ans[/tex]
Answer:
11.61
Step-by-step explanation:
% means 100
so we have 43/100
of means multiplication X 27
so we have 43/100x27
and the answer is 11.61
if you want to approximate it is 12
3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}
2+2+30+40+15000+18000
Answer:
33074
Step-by-step explanation:
Please give brainliest
Answer:
[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]
[tex]i \: hope \: it \: is \: helpfull[/tex]
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
How do I graph y=-2x+7?
Answer:
Step-by-step explanation:
You want to buy dome new books that cost $13 each. Shipping is $5 per order. If you but 9 books, what us the cost of the order
robin counts by 7 to 70. how many off numbers does robin say ?
Answer:
10
Step-by-step explain
Determine whether these two ratios
form a proportion:
8/10 and 24/30
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answer:
x = 3/8
Step-by-step explanation:
[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
Solve it ( i'll select u as brainlist )
Answer:
x=5/6 y=8/5
Step-by-step explanation:
times the second one w 2
equals to -12x+10y=-6
then add this to the above one together,you can eliminate the x, then solve an equation w only y.
after you get y, get it into whatever the above one or below one,you will get the x as well
Answer:
x = 5/6
y = 1 and 3/5
Step-by-step explanation:
12x + 15y = 34
-6x + 5y = 3
12x + 15y = 34
3(-6x + 5y = 3)
12x + 15y = 34
-18x + 15y = 9
30x = 25
30x/30 = 25/30
x = 5/6
-6x + 5y = 3
-6(5/6) + 5y = 3
-5 + 5y = 3
+5 +5
5y = 8
5y/5 = 8/5
y = 1 3/5
Which equation has no solution?
A.
B.
C.
D.
Answer:
C.
Step-by-step explanation:
The equation will have no solution if it reduces to the form ...
1 = 0
Other possible forms are ...
0 = 0 . . . . infinite solutions
y + c = 0 . . . . one solution
___
The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.
A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0 ⇒ 0 = 0 (infinite solutions)
B. 32x +25 -21x - 10x = 0 ⇒ x +25 = 0 (one solution)
C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0 ⇒ 1 = 0 (no solutions)
D. 1/3 +1/7y -3/7y = 0 ⇒ y -7/6= 0 (one solution)
What is the slope of the graph shown below?
Answer:
A -2
Step-by-step explanation:
the line meets up there and it would be rise divided by run and it would get you -2
Answer:
Step-by-step explanation:
You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.
12x-15 distributive property
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test