The equation of the line is 3x + y = 1
How to determine the equation of the line?The points are given as:
(5, −2) and (3, 4)
Start by calculating the slope (m)
m =(y2 - y1)/(x2 - x1)
This gives
m = (4 + 2)/(3 - 5)
Evaluate
m = -3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -3(x + 2) +5
So, we have:
y = -3x - 6 + 5
Evaluate the like terms
y = -3x - 1
Rewrite as:
3x + y = 1
Hence, the equation of the line is 3x + y = 1
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When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
What is the first step in solving this equation :
2x - 7 = 19
Options :
A - Add 7 to both sides
B - Subtract 19 from both sides
C - Subtract 7 from both sides
D - Divide both sides by 2
Please help its due in 20 minutes!!
the answer is:
2x = 19 + 7
2x= 26
x= 13
I don't know this question. I REALLY NEED HELP!!!
Answer:
If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54
Answer:
54
Step-by-step explanation:
10m + [tex]\frac{n^{2} }{4}[/tex]
First insert the m value and then multiply
10m = 10(5) =50
then the equation becomes 50 + [tex]\frac{n^{2} }{4}[/tex]
Second insert the n value
[tex]\frac{4^{2} }{4}[/tex]
4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes
50+16/4
50+4=54
Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
Help
35 - 0.80*35 = x
35 - 28 = x
7 = x
x = 7
He paid $7
Mind lending me a hand
Answer:
54
Step-by-step explanation:
55 + 74 + 78 + z + z + 45 = 360
252 + 2z = 360
2z = 108
z = 54
Answer: 288
Step-by-step explanation:
78+74+55=207
The degree of a pentagon is 540°
so 540-207=333
so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...
Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet
Answer:
There's no grid but I'd say A if you can give me the grid I'll edit my answer
Step-by-step explanation:
Given: EGEF = JK
Prove: FG = HJ
PLEASE HELP ASP
Answer:
Done.
Step-by-step explanation:
EG = EF + FG
HK = HJ + JK
We have: EG = HK and EF = JK => FG = HJ
If you place a 13 foot ladder against the top of a 12 foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Which of the following represents the solution set to 4x^2+8x-1=0?
Answer:
4
Step-by-step explanation:
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
9514 1404 393
Answer:
a) difference of charges is 15 -0.05m
b) Justin should rent from EnvoCar
Step-by-step explanation:
a) EnvoCar charges ...
c = 65 +0.10m . . . . . c = charge for m miles
FreedomRide charges ...
c = 80 +0.05m
Then FreedomRide charges more by ...
(80 +0.05m) -(65 +0.10m) = 15 -0.05m
__
b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...
15 -0.05(250) = 2.50
For that distance, EnvoCar costs less. Justin should rent from EnvoCar.
_____
Additional comment
The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.
Sarah has $1000 in the bank. she took out $50 to buy supplies. What percentage of savings did she take out?
9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!
Answer:
x = 11.5
Step-by-step explanation:
9 (x - 2) = 7x + 5
9x - 18 = 7x + 5
+18 +18
9x = 7x + 23
-7x - 7x
2x = 23
--- ---
2 2
x = 11.5
How do I make the pain go away?
Can you all help? Giving brainliest to whoever can help me!
Answer:
x=11
Step-by-step explanation:
15x+15=180 they are supplementary angles to each other so their sum is
equal to 180 degrees.
subtract 15 from both sides
15x=165
divide each side by 15
x=11
A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.
Write an equation to represent the relationship between s, sugar, and f, flour.
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
One day 1 2 tried to make a pie. Unfortunately, she only had 3, and no sugar, so she decided to use 4 to sweeten it. The pie bubbled over in the oven and looked a mess. Not one to be discouraged, she decided to remedy the situation by covering the pie with 5 . When her 6 came over, and saw what she'd done, they 7 because 8 her pie ended up 9 but the 10 still needs to be cleaned
Answer:
even though there's no options or context,most likely answers are 1.little
2.Suzzy
3. flour
4.molases
5.foil
6 aunt
7. ate
8.
9.good
10.kitchen
If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4
Answer:
b = 125
Step-by-step explanation:
Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is
a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation
When a = [tex]\frac{15}{4}[/tex] , then
[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )
15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )
5 = [tex]\sqrt[3]{b}[/tex] , then
b = 5³ = 125
Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.
A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?
In which of the following cases would you most likely buy a point when closing on a home loan?
a. The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years.
b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years.
The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years.
d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
C
Please select the best answer from the choices provided
Ο Α
C
B
0
C
OD
Answer:
d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
Step-by-step explanation:
a^2 + b^2 + 2bc - 2ca - 2ab
The ratio of the measure of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side. Help me please!!
Answer:
shortest side = 42 inches
Step-by-step explanation:
9x + 7x + 3x = 266
x = 14
3x = 42
What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3
AnswerAnswer:
420
Step-by-step explanation:
The volume of the prism is 840 units³ which is correct option (C).
What is volume of prism?The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
Base area (rectangle) of prism = L × W
Base area (rectangle) of prism = 12 × 14
Base area (rectangle) of prism = 168 units²
Height of prism(H) = 5 units
The volume of the prism = B × H
Substitute the values in above formula,
The volume of the prism = 168×5
The volume of the prism = 840 units³
Hence, the volume of the prism is 840 units³.
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If you graph a system of equations and they are intersect, they have no solution. True or False someone help pleaseee !!
Answer:
False
Step-by-step explanation:
If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
I hope this is correct.
Simplify the following
(c) 2(а - 3) - 5[a - 2(a - 4)
Step-by-step explanation:
Let's simplify step-by-step.
2(a−3)−5a−2(a−4)
Distribute:
=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)
=2a+−6+−5a+−2a+8
Combine Like Terms:
=2a+−6+−5a+−2a+8
=(2a+−5a+−2a)+(−6+8)
=−5a+2

Determine the value of x.
A) 4.96
B) 2.90
C) 11.62
D) 0.73
The value of x in the triangle is 11.62
How to solve for x?The complete question is in the attached image
From the image, we have the following tangent function
tan(71) = x/4
Make x the subject
x = 4 * tan(71)
Evaluate the expression
x = 11.62
Hence, the value of x is 11.62
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Answer:
11.62
Step-by-step explanation:
took the test
A circular bracelet has a radius of
5cm
Answer:
ye
Step-by-step explanation:
..
om need hjbhhbb points bbbvvghhhhjjnnnnnn
Answer:
la cantidas es 45 mas 8 ya ñara poder tener ka cagdlfenjelsflahevveyjew
Find the Slope of the line that passes through (5, -10) and (5, -4)
A. - 14/10
B. 10/14
C. 0
D. Undefined
Do you guys mine lending me a hand?
Answer:the answer is 146 or 126
Step-by-step explanation:
84+112+102+96=394 and a pentagon's degrees is 540
so you have to do 540-34=146
so that is 146
the answer is 146
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a.87 km
b.192 km
c. 216 km
d. 33 km
Answer:
B.) 192 km
Step-by-step explanation:
Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.