Answer:
[tex]y=-x[/tex]
Step-by-step explanation:
The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.
Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].
Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:
[tex]-2=-1(2)+b, \\b=0[/tex]
Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].
Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?
Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
[tex]41.75=2x+3.15-1.00[/tex]
[tex]41.75=2x+2.15[/tex]
[tex]41.75-2.15=2x[/tex]
[tex]39.6=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{39.6}{2}=x[/tex]
[tex]19.8=x[/tex]
Therefore, the cost of each DVD is $19.8.
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
Three friends share the total cost of a game. Joe pays 30%, mike pays 2/5 and tony pays the rest. Who paid the most ?
Answer:
Mike pays the most.
Step-by-step explanation:
Joe pays 30%, given, and Mike pays 2/5, also given. You can covert 2/5. into a percentage by multiply both the numerator and denominator by 20 which gives you 40/100 = 40%. If Mike and Joe combined pay 40%+30% = 70%, then Tony only pays 30%. Therefore Mike would pay the most.
Find C.
Round to the nearest tenth.
с
17 ft
8 ft
B
А
16 ft
C = [ ? ]
Law of Cosines : c2 = a2 + b2 - 2ab cos C
Enter
Answer:
[tex]C=69.1^{\circ}[/tex]
Step-by-step explanation:
The Law of Cosines is given as:
[tex]c^2=a^2+b^2-2ab\cos C[/tex].
Plugging in given values, we get:
[tex]16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}[/tex].
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
5) In August, Yesenia was 4 feet tall. Each month since August, she has consistently grown 0.25 inc
How tall is Yesenia t months after August?
Answer:
Yesenia is 0.25t+4 inches tall after August.
Step-by-step explanation:
Given that:
Height of Yesenia in August = 4 feet tall
Growth rate since August = 0.25 inches
Number of months after August = t
According to given statement;
Height after August = Growth rate * Number of months + Height in August
Height after August = 0.25t + 4
Hence,
Yesenia is 0.25t+4 inches tall after August.
Help i cant figure this equation out 9x-7i 3(3x-7u)
Answer:
49i^3u−21i^3x+9x
Step-by-step explanation:
(The sum of 5 times a number and 6 equals 9)
Translate the sentence into an equation
use the variable c for the unknown number
does anyone know the answer to this ?
10(g+5)=2(g+9).
please help
Answer:
g=-4
Step-by-step explanation:
John is putting a fence around his garden that is shaped like a half circle and a rectangle. How much fencing will John need? Use 22/7 as Pi.
32 ft
39 ft
46 ft
57 ft
Answer:
46
Step-by-step explanation:
It will help :)
Answer:
46
Step-by-step explanation:
RIGHT ON EDGE~
Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
A. rectangle
B. rhombus
C. square
D. trapezoid
A baker made 5 pounds of icing. He used 4/9 of icing to decorate cakes. How much of icing is left over
A. 1 pound
B. 1 5/9
C. 1 2/3
D. 2 7/9
Answer: 2 7/9
Step-by-step explanation:
too lazy to show the work lol, but hope this helped!
What are the solutions of -1 <=x-3<4? help asap
Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
Original value of x-axis =21
New value of x-axis = 21×(-1/7) = -3
Original value of y-axis =28
New value of y-axis = 28×(-1/7) = -4
Hence, the new coordinate is (-3,-4).
Determine if the values shown in the table below represent a function. Explain why or why not.
1
3
5
7
Input (x)
Output (x)
9
30
5
11
15
18
Answer: No, this is not a function.
In a function, there can be no overlapping on the y-axis.
Does this graph have 10 or 9 squares, 10 or 9 years, I think I might be going insane
Answer:
10 years
Step-by-step explanation:
Simplify each expression using the distributive property and/or combining like terms
2x+3y+6+7y
Answer:
2(x+5y+3)
Step-by-step explanation:
first you collect the like terms 2x+3y+6+7y.
Answer:
2(x+5y+3)
Step-by-step explanation:
i did it
Help please! (there is a picture)
Answer:
its option 2
step-by-step explanation:
Tu amigo está a 55 metros de la base de un árbol y el ángulo de elevación 3 desde donde está parado en el suelo hasta la copa de ese árbol es de 50 grados. ¿Cuanto mide el árbol al metro más cercano?
Step-by-step explanation:
Ummm D
1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?
Answer:
1/56
Step-by-step explanation:
ploz brainliestt
Pls help as soon as possible the variables are same and opposite
Answer the first is opposite and other is same
Step-by-step explanation:
I just need question 2, please help
Answer: 73
Step-by-step explanation:
so i took what the angle was for the 107 and subtracted it from 180 because that's always how I did it i'm not positive if its correct but I think that's how you do it since there all the same angles on the bottom so M and Q match and the two top angles match so I think it would end up being 73 sorry if this isn't to much help.
PLEASE HELP ASAP. WILL MARD BRAINLYEST
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its
dimensions are shown below. What is the area of the sign?
O 35 square feet
O 40 square feet
O 50 square feet
O 55 square feet
Answer:
Answer:
35 square feet
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPWhich statements are true about the ordered pair(-1, -4) and the system of
equations?
x - y = 3
7x – y = -3
Select each correct answer.
When (-1,-4) is substituted into the second equation, the equation
is true.
The ordered pair (-1,-4) is a solution to the system of linear
equations.
When (-1,-4) is substituted into the first equation, the equation is
true.
When (-1,-4) is substituted into the second equation, the equation
is false.
When (-1,-4) is substituted into the first equation, the equation is
false.
The ordered pair (-1,-4) is not a solution to the system of linear
equations.
Answer:
When (-1,-4) is substituted into the second equation, the equation is true.
The ordered pair (-1,-4) is a solution to the system of linear equations.
When (-1,-4) is substituted into the first equation, the equation is true.
Step-by-step explanation:
Given
[tex]x - y = 3[/tex]
[tex]7x - y = -3[/tex]
Required
What is true about [tex](x,y) = (-1,-4)[/tex]
To do this, we substitute -1 for x and -4 for y in both equations;
For [tex]x - y = 3[/tex]
[tex]-1 - (-4) = 3[/tex]
[tex]-1 + 4 = 3[/tex]
[tex]3 = 3[/tex]
Hence: [tex](-1,-4)[/tex] is true for [tex]x - y = 3[/tex]
For [tex]7x - y = -3[/tex]
[tex]7(-1) - (-4) = -3[/tex]
[tex]-7 +4 = -3[/tex]
[tex]-3 = -3[/tex]
Hence: [tex](-1,-4)[/tex] is true for [tex]7x - y = -3[/tex]
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation:
21 2
—- divide ——
6 3
Answer:
3.3507/ 3.35 (round off)
Step-by-step explanation:
Hope it helps :)
Item 1
Question 1
Solve 52x>5. Graph the solution.
WILL GIVE BRAINLIEST
The block company is to paint 257 cylindrical blocks like this one which has a radius of 1.5cm and a height of 4cm. If the paint costs $ 0.52 per cm2, what will be the total price the company will have to pay?
Answer:
Let us consider the equation of a partial disk Hence A= pi × r^2/ 2Answer:
[tex]\$3463.70[/tex]
Step-by-step explanation:
Start by finding the total surface area of one block. The surface area of this half-cylinder is:
[tex]2\cdot\frac{1}{2}r^2\pi+\frac{1}{2}\cdot2r\pi\cdot h[/tex]
Since both radius and height are given, we can solve the equation:
[tex](1.5)^2\cdot \pi +1.5 \cdot \pi \cdot 4 \approx \fbox{$25.9\:\mathrm{cm^2}$}[/tex].
Since the company is painting 257 of these, the total surface area of all the blocks will be:
[tex]({(1.5)^2\cdot \pi + 1.5 \cdot \pi \cdot 4)\cdot 257\approx \fbox{$6660\:\mathrm{cm^2}$}[/tex].
Each square centimeter costs $0.52, so the total cost the company will have to pay is:
[tex]({(1.5)^2\cdot \pi + 1.5 \cdot \pi \cdot 4)\cdot 257\cdot 0.52\approx \fbox{$\$3463.70$}[/tex].
Someone please help me
what's 5x+y=3 written in y=mx+b form
Answer:
y=-5x+3
Step-by-step explanation:
5x+y=3
sub 5x from each side
y=-5x+3