Given:
The equation of parallel line is
[tex]4x+y-2=0[/tex]
The required line passes through the point (4,-3).
To find:
The equation of required line is standard form.
Solution:
The standard form of a line is
[tex]Ax+By=C[/tex]
Where, A,B,C are constants and the slope of the line is [tex]-\dfrac{A}{B}[/tex].
The given equation is
[tex]4x+y-2=0[/tex]
Here, [tex]A=4,B=1,C=2[/tex]. So, the slope of the line is
[tex]m=-\dfrac{4}{1}[/tex]
[tex]m=-4[/tex]
Slopes of parallel lines are equal. So, the slope of the required line is -4
The required line passes trough the point (4,-3) with slope -4. So, the equation of the required line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-3)=-4(x-4)[/tex]
[tex]y+3=-4x+16[/tex]
Isolate variable terms.
[tex]4x+y=16-3[/tex]
[tex]4x+y=13[/tex]
Therefore, the correct option is A.
Answer:4 x + y = 13 its right trust me
Step-by-step explanation:
Can any one help pls I’m loosing my points :(
Answer:
The angles of both triangles are the same
The two triangles are both acute because they all have acute angles
Which value of k would cause the system of linear equations 35 x + 14 y = 119 and 5 x + 2 y = k to have an infinite number of solutions?
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the side lengths in inches of a cube with volume of 1 cubic inch
Answer:
1 Inch
(Sorry for this, there wasn't enough letters in my answer)
Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Mark this and return
ABCD is a trapezoid. The coordinates are A(-4, -1), B(0,3), C(8,3) and D(8, -1). Find the length of the midsegment of the trapezoid.
Answer:
Step-by-step explanation:
Opppppssssssss
we're you able to plot the given numbers?
Step-by-step explanation:
calculate the x-intercept by making y=o and substitute the values of x into the equation to get y-values
Simplify the following expressions:
(25)6
Answer:
Step-by-step explanation:
2 with and exponent of 5 is 10 then you have to multiply that answer by 6 which will give you the answer of 60
So your final answer is 60
hope this helped :)
Can someone pls help me with this?
Answer:
C.
Step-by-step explanation:
Look at the diagonal.
Answer:
The answer is A
Step-by-step explanation:
The line should have a curve because the sets of points are nonlinear
What is the equation of the line that passes through the point (-2,-1) and has a slope of 1?
Answer:
y=x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=1(x-(-2))
y+1=1(x+2)
y+1=1x+2
y=1x+2-1
y=1x+1
convert the fraction into a decimal
12/25
Answer:
it would be 0.48
Step-by-step explanation:
yeah you divide
[tex]{ \large{ \sf{ \dfrac{12}{25} = 0.48 }}}[/tex]
A store is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d , and it's original price, p.
Answer:
80%p=d
Step-by-step explanation:
20% discount is 80% of original.
An equation for the relationship between the discount price of an item, d, and it's original price, p is p = 0.8d.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A store is offering a 20% discount on all items.
Let the discount price of an item, d, and it's original price, p.
The original price = (100 - 20%)discount price
p = 80%d
p = 0.8d
Therefore, p = 0.8d is the required equation.
To learn more about the percentage;
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simplify the following 7 + 6 - 9 (- 2) + (- 3)
Step-by-step explanation:
This is your answer friend
Reid's Hardware discounts all riding lawnmowers 8% to customers paying in cash. If Trey paid $1,193.89 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?
Are there chocies ???
Step-by-step explanation:
Which of the following choices are equivalent to the expression below? Check all that apply. HELP PLEASE PLEASE HELP PLEASE PLEASE PLEASE
Answer:
ok il try to answer it
Step-by-step explanation:
In which direction does the parabola y=x2−4x−5 open?
Answer:
upward
Step-by-step explanation:
The equation showing in the question is actually
[tex]y = x^{2} - 4x - 5[/tex]
After graphing this equation you can see that the parabola opens up pointing upwards with a vertex of (2, -9) . You can calculate the vertex of the parabola by substituting either y or x with 0 and then solving for the missing variable.
Layla works at an electronics store as a salesperson. Layla earns a 3% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. How much money would Layla earn in commission on a day that she sold $1800 worth of phones and $1500 worth of computers? How much money would Layla earn in commission on a day that she sold $p worth of phones and $c worth of computers?
Answer:
She will make $54 from phones and $60 from computers
Step-by-step explanation:
1800 x 0.03 = 54
1500 x 0.04 = 60
Which linear function f has the values f(0)=3 and f(−4)=0 f(x)=34x−4 f(x)=34x+3 f(x)=43x−4 f(x)=43x+3
Answer:
[tex]f(x) = \frac{3}{4}x +3[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{3}{4}x +3[/tex]
[tex]f(x) = \frac{4}{3}x-4[/tex]
Required
For which function is [tex]f(0) = 3[/tex] and [tex]f(-4) = 0[/tex] true
[tex]f(x) = \frac{3}{4}x +3[/tex]
Substitute 0 for x
[tex]f(0) = \frac{3}{4} * 0 + 3[/tex]
[tex]f(0) = 0 + 3[/tex]
[tex]f(0) = 3[/tex]
Substitute -4 for x
[tex]f(-4) = \frac{3}{4} * -4 + 3[/tex]
[tex]f(-4) = -3 + 3[/tex]
[tex]f(-4) = 0[/tex]
Hence:
[tex]f(x) = \frac{3}{4}x +3[/tex] is true for [tex]f(0) = 3[/tex] and [tex]f(-4) = 0[/tex]
Find the difference
between the median
and the mean:
{4.25, 6.25, 8, 8, 8,
4.25, 6, 9, 6, 8.25, 9.25}
Answer:
the mean is 7.1
the median is 8
the difference would be 0.9
Step-by-step explanation:
What is m Any answers?
Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
[tex]m\angle M = (6x - 2)\degree \\ \\ m\angle M = (6 \times 19- 2)\degree \\ \\ m\angle M = (114- 2)\degree \\ \\ m\angle M =112\degree \\ \\ \because m\angle M + m\angle N = 180\degree \\ (adjacent \: angles) \\ \\ \therefore m\angle N = 180\degree - m\angle M \\ \\ \therefore m\angle N = 180\degree - 112 \degree \\ \\ \therefore m \angle N = 68\degree [/tex]
Whilit is the slope of the line that contains the points (-2, 2) and (3, 4)? I A. - 5 2 2 B. B. - 5 C. LAIN D. In
Answer:
2/5
Step-by-step explanation:
slope is change in y/change in x
4-2 / 3+2 = 2/5
Answer:
m = 2/5
Step-by-step explanation:
(-2, 2) and (3, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4 - 2)/(3 + 2)
m = 2/5
The Red Cross is distributing water to
disaster victims. They have 500 gallons of
water and they give 2 gallons to each
person in need. Write an equation
describing the amount of water, w, the Red
Cross has left and the number of people, p,
they have helped
Write the equation, then state how many victims could receive water until the red cross has only half of the original water that they started with left ?
Please help me asap it’s due in 30 minutes!
Step-by-step explanation:
500=2x
x= 250....ppl can get water
250==2x
125....ppl can get water now
the length of a side of a bigger square is one more than twice the length of a side of a smaller square if the difference in the perimeters of the squares is 16 calculate the area of the smaller square
Must have let statements and two equations
Answer:
Step-by-step explanation:
The perimeter of squares is just 4s
Since the bigger square has sides of 2x+1 and the smaller has sides of x the difference of perimeters is
d=4(2x+1-x)
d=4(x+1)
d=4x+4, and d=16 so
4x+4=16
4x=12
x=3 so the smaller square has sides of 3 and an area of
A=x^2
A=3^2
A=9
For every two dollars that Taylor saves in her account, her brother saves five dollars in his account. If Taylor has 40 dollars in her account, how much money does her brother have in his account?
Answer:
100 dollars
Step-by-step explanation:
Taylor saved two dollars each time and she has 40 which is 20 x 2=40 so do the same for her brother 5 x 20= 100.
evaluate the problem
Answer:
-2
Step-by-step explanation:
[tex]Log_{2}\frac{1}{4}[/tex] = -2I hope this helps!
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Isolate x by taking the log of each side:
[tex]\frac{1}{4}=2^x\\log_2(\frac{1}{4})=log_2(2^x)\\x=-2[/tex]
This works because:
[tex]2^{-2} =\frac{1}{2^{2}}=\frac{1}{4}[/tex]
If this helped, a brainliest would be greatly appreciated!
Please Help! I will mark brainalist!!
Select the correct answer
The owner of a sporting goods store gathered data about the numbers of men's, women's and children's bicycles sold each month. She used a
graphing tool to organize the data in different scatter plots and found these lines of best fit:
Answer:
The answer A
Step-by-step explanation:
The average correlation is close to The relationship between the number of men's, x and the number of women's, y bikes sold hence, it is a line of best fit so, option A is correct.
What is a line of fit?A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit.
Given:
The owner of a sporting goods store gathered data about the numbers of men's, women's, and children's bicycles sold each month,
The relationship between the number of men's, x and the number of women's, y bikes sold is molded by the equation, y = 0.95x + 0.83, and the correlation coefficient is 0.791,
The relationship between the number of men's, x, and the number of children, y bikes sold is molded by the equation, y = 0.87x + 0.98, and the correlation coefficient is 0.564,
The relationship between the number of children x and the number of women's bikes sold is molded by the equation, y = 0.73x + 0.91, and the correlation coefficient is 0.945,
As you can see that the average of the correlation coefficient is,
Average = 0.791 + 0.564 + 0.945 / 3
Average = 2.3 / 3
Average = 0.77
Thus, the correlation 0.791 is the line of best fit.
To know more about the line of fits:
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Find the standard deviation. {0, 4, 7, 1, 3, 5, 2}
Answer:
2.23
Step-by-step explanation:
An item is regularly priced at $20. It is now priced at a discount of 35% of the regular price. What is the price now?
Answer: $13
Step-by-step explanation:
The equation you will use is
20(0.035) which will give you 7
then you do
20-7
$13
Answer:
$13
Step-by-step explanation:
20 x .35 = 7
20 - 7 = 13
Omg help me ASAP I’m stuck and people keep giving me different answers
Answer:
Scalene acute
Step-by-step explanation:
All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene
Complex Numbers
A student rewrites 75 as -1.5.15. What is the simplified version of the expression?
A student rewrites - 56 as -1.7.18. What is the simplified version of the expression?
help me help me help me please
isgdhidisisiekekwksososjwn20
AMY~MEG AM=5 MY=7 and AY=3. A dilation was performed so that the scale factor from AMY to MEG is 1/3. Find the perimeter of MEG.
If a dilation was performed so that the scale factor from AMY to MEG is 1/3, then the perimeter of MEG will be 5 units
DilationGiven the sides of the triangle AMY given as:
AM=5 MY=7 and;AY=3scale factorsIf the scale factor from AMY to MEG is 1/3, then the sides of triangle MEG will be:
ME = 5/3
EG = 7/3
MG = 3/3
The perimeter of MEG = ME + G + MG
The perimeter of MEG = 5/3 + 7/3 +3/3
The perimeter of MEG = 15/3
The perimeter of MEG = 5 units
Hence the perimeter of MEG is 5 units
Learn more on dilation here: https://brainly.com/question/11348620