What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?
Answer:
Step-by-step explanation:
y = -x + 9
y - 1 = -(x - 5)
y - 1 = -x + 5
y = -x + 6
The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Here,
The point is given as ( 5, 1 ).
The equation of line is parallel to the line x + y = 9.
What is Equation of line?
The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]
where, m is slope of line and ( x₁ , y₁) is point.
Now,
The equation of line is parallel to the line x + y = 9.
Hence, both line have same slope.
The slope of line x + y = 9 is given as,
⇒ y = -x + 9
compare with equation of line y = mx + c , we have;
Slope = -1
The equation of the line passes through the point ( 5, 1 ) and slope -1 is;
y - 1 = -1 ( x - 5)
y - 1 = -x + 5
y = -x + 6
Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
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help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
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pls help me with this
if m angle P is there less than twice the measure of angle Q and angle P and angle Q are supplementary angles, find each angle measure
Answer:
can you add a picture of the problem?
Step-by-step explanation:
What is the point slope of a line with the slope 4 that contains the point (-3, -4) ?
A. y + 4 = -4 (x + 3)
B. y - 4 = -4 (x - 3)
C. y - 4 = 4 (x - 3)
D. y + 4 = 4 (x + 3)
Answer:
Correct choice: D.
[tex]y+4=4(x+3)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:
[tex]y-(-4)=4(x-(-3))[/tex]
Operating:
[tex]\boxed{y+4=4(x+3)}[/tex]
Correct choice: D.
what is 2.2 * 5.1 what is the answer
Answer:
11.22 is the answer thank you
Answer:
11.22
Step-by-step explanation:
Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.
Solve each equation algebraically, justify your steps, and determine who is correct and why.
Molly's equation
15x + 10 = 100
Maddie's equation
15x - 10 = 100
Step-by-step explanation:
let us start with
Molly's equation
15x + 10 = 100
solving for x we have
15x=100-10
15x=90
x=90/15
x=6
Maddie's equation
15x - 10 = 100
solving for x we have
15x=100+10
15x=120
x=120/15
x=8
well, from the solution niether of them is correct
The square root of 15 is in between what 2 whole numbers?
The square root of 15 is between 3 and 4.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that the square root is 15. The value of the square root of 15 is calculated as,
The square root of 15 is 3.872.
Therefore, the square root of 15 is between 3 and 4.
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The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of the triangle are 13 feet and 23 feet. Find the possible lengths of the third side.
Answer:
Between the lengths of 10 and 36 (exclusive).
Step-by-step explanation:
Since the lengths of any two sides is always greater than the third, the shortest possible length of the third side must be greater than 23 when added to 13. 23-13 = 10, so the third side must be greater than 10.
However, the third side also cannot exceed the length of the sum of the other two sides. 23+13 = 36, therefore the length must be less than 36.
The possible lengths of the third side lie between 10 and 36 (exclusive).
If we use 'l' for length, this range can be represented as follows:
[tex]10 < l < 36[/tex]
Hope this helped!
The graph of this system of equations is used to solve 4 x squared minus 3 x + 6 = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x. StartLayout Enlarged left-brace 1st row 4 x squared minus 3 x + 6 2nd row y = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x EndLayout What represents the solution set? y-intercepts of the graph x-intercepts of the graph y-coordinates of the intersection points x-coordinates of the intersection points
Answer:
D on edulastic 2020
Step-by-step explanation:
Answer:
7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0
Step-by-step explanation:
36 - (- 4) + 5 + (- 10) =
Answer:-370
Step-by-step explanation:
Answer: 35
Step-by-step explanation: 36−(−4)+5−10 =40+5−10
45-10=35 :) hope this helps!
a ball is dropped from a height of 144 inches. it's hight on the 1st bounce is 72 inches. on the 2nd and 3rd bounce, the height of the ball is 36 inches and 18 inches, respectively. the heights from a geometric sequence. what is the height of the ball on the 6th bounce to the nearest tenth of an inch?
Answer:
[tex]2.25[/tex]
Step-by-step explanation:
[tex]the \: n {}^{th} \: term \: of \: a \: gs = {a(r)}^{n - 1} = \\ 72( 0.5) {}^{6 - 1} = 72 \times 0.03125 = \\ 2.25[/tex]
What is the value of the expression below?
(9 divided by 3) + 4 (6 minus 7)
–7
–1
7
20
Answer:
-1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-1
Write the linear equation in slope-intercept form and simplify.
5x – 3y = -19
Answer:
y = 5/ 3 x + 19/ 3
Step-by-step explanation:
Slope-intercept form, y = m x + b .
Answer:
y=5/3x+6 1/3
Step-by-step explanation:
To get into y-intercept form you need to get y alone...
5x-3y=-19 subtract the 5x
-3y=-5x-19 divide by -3
y=5/3x+19/3 simplify
y=5/3x+6 1/3
NEED HELP ASAP 10 POINTS BRAINLY IF CORRECT
Answer:
can u just post a question pls
Which expression is not equivalent to -3-1/2+4y
Answer:-2x-1/2+6y+3x
Step-by-step explanation:
I just got it right no cap
FInd the Area of the figure
Answer:
18,400m^2
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, -5) and
(-3, -2)? Put your answer in fully reduced form.
Pls help answer
Answer:
y=3x+7
Step-by-step explanation:
see the attached above
The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, what is the area of the rectangle?
Answer:
57 cm²
Step-by-step explanation
l = length
w = width
p = perimeter
(5x - 1) = length
(11 - 2x) = width
44 = perimeter
Formula for the perimeter of a rectangle:
l + l + w + w
2l + 2w = p
Substitute the variables for the length and width with the values given to you by the problem, then solve.
2(5x - 1) + 2(11 - 2x) = 44
(10x - 2) + (22 - 4x) = 44 (Distributive property)
6x + 20 = 44
6x = 24
x = 4
Plug x = 4 back into the length and width.
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
Area for a rectangle: Length × Width = Area.
19 × 3 = 57 cm²
This is all in cm so answer with cm²
Josh has some nickels. He says they are worth exactly 33 cents. Can you tell if Josh is correct or not?
Why or why not?
Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.
Fiona is going to the grocery store for watermelons and pineapples. Watermelons cost $7 each and pineapples cost $4 each. Fiona has a total of $30 to spend. Use the equation 7w + 4p = 30 to answer the question below. If Fiona buys 3 watermelons, what is the maximum number of pineapples she can buy?
Answer:
The maximum number of pineapples Fiona can buy is 2.
Step-by-step explanation:
If Fiona buys 3 watermelons, thats 7 x 3 = 21. Then, (total amount of money) 30 - 21 = 9. To find how many pineapples she can buy, see how many times 4 goes into 9 (which is 2). Hope this helps!
Answer:
9.
Step-by-step explanation:
7x3=21, 30-21=9
What are the Slope and the Equation of the Image?
Answer:
slope is 4
y=4x+1
Step-by-step explanation:
slope equation is (y2-y1)/(x2-x1)so ((13-5)/(3-1))=4my precalculus taught us to solve for the equation by doing y1=m(x1)+b or y2=m(x2)+bso I did 5=1(4)+b 5=4+b b=1linear equation is y=mx+bso y=4x+1Liana has 320 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? A rectangle that maximizes the enclosed area has a length of nothing yards and a width of nothing yards
Answer:
Breadth = 60, Length = 60
Step-by-step explanation
Let length & breadth of rectangular area be : L & B
As, Fencing Yards = 320. So, perimeter ie 2 (L + B) = 320
B = (320 - 2L)/2 → B = 160 - L (*)
Area of rectangle [A] = L x B = L (160 - L) → A = 160L - L^2
Maximising Area, So first derivative d [A] / d [L] = 160 - 2L
d [A] / d [L] ] = 0 → 160 - 2L = 0 → L = 160/2 → L = 80
By (*) : B = 160 - L = 160 - 80 → B = 80
Checking maximising condition, double derivative d^2[A] / d[L]^2 = -2
As d^2[A] / d[L]^2 is negative, L & B values are maximising A
what is the ratio for 8 and 12
Help how do I do it?
A
B
C
D
C
x = 50
Step-by-step explanation:If the two angles add up to 140 then that means 40° + 2x° equals 140
Set up an equation from that evaluation and solve
40 + 2x = 140
Subtract 40 from both sides
2x = 100
Divide both sides by two
x = 50
Hope this helps.
The line has been partitioned into three angles. Is there a triangle with these three angle measures? The degrees are 39,42,99 Please help quick!!!!!!!!!!
Answer:
yes it is
Step-by-step explanation:
a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle
Brainliest?
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Given,
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
The degrees are 39,42,99.
What is the sum of angles in a triangle?The sum of the angles in a triangle is 180 degrees.
The sum of all the angles in a straight angle is 180 degrees.
We have,
39°, 42°, and 99°.
The sum of the angles is:
= 39 + 42 + 99
= 180 °
The sum of the angles in a triangle is 180 degrees.
Thus,
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
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Ingrid's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Ingrid's curtain company wants to make 64 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot I just don't get it
Answer:
192 ft
Step-by-step explanation:
Number of curtains = 64
Length of each curtains = 36 inches
Total length of curtains = Number of curtains × Length of each curtains
= 64 × 36 inches
= 2,304 inches
1 inch = 1/12 foot
2,304 inches = 2,304 / 12 ft
2,304 inches = 192 ft
She will need 192 ft of the fabric to make 64 curtains each of length 36 inches
-30 = 4 - 8x
please help me solve this
Answer:
4.25
Step-by-step explanation:
-30=4-8x
-4 -4
----
-34=-8x
/-8 /-8
----
4.25=x
Answer:
x=17/4
Decimal Form:
x=4.25
Mixed Number Form:
x= 4 1/4
explanation:
Pleas help me complete this question
The answer should be —-students
Answer:
1.1 × 10^ 4
Step-by-step explanation:
Answer:
2.7*10^4 - 3.7*10^3
=10^3[2.7*10-3.7]
=10^3 [27-3.7]
=10^3 *23.3
=2.33*10^4
Hope this helps!!
8z - 22 = 3(3z + 11) - z
Answer:
There are no solutions.
Step-by-step explanation:
8z−22=3(3z+11)−z
Step 1: Simplify both sides of the equation.
8z−22=3(3z+11)−z
8z+−22=(3)(3z)+(3)(11)+−z(Distribute)
8z+−22=9z+33+−z
8z−22=(9z+−z)+(33)(Combine Like Terms)
8z−22=8z+33
8z−22=8z+33
Step 2: Subtract 8z from both sides.
8z−22−8z=8z+33−8z
−22=33
Step 3: Add 22 to both sides.
−22+22=33+22
0=55
What is the reverse of "multiply by 4"?
O A. subtract 4
O B. divide by
O C. add 4
O D. divide by 4
Answer:
D - divide by 4
Step-by-step explanation:
Answer:
D rip I'm late :(.......