Answer:
A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.
Step-by-step explanation:
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point
The equation of the line is y =________
Answer:
y = 1/2 x + 3
Step-by-step explanation:
mid point of line BC = (2, 4)
slope of the line containing median (m) = 1/2
y intercept (b)= 3
since y = mx + b
y = 1/2x + 3
The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.
What is a Median ?A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.
The median of an equilateral triangle also an angular bisector.
Given that,
The coordinates of A = (-2, 2)
The coordinates of B = (4, 10)
The coordinates of C = (0,-2)
Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).
Now, to find the equation of median through A there are two points (-2,2) and (2,4).
Thus the equation of median an be written as,
(y-2)/(x+2) = (4-2)/(2-(-2))
=> y - 2 = 1/2(x+2)
=> y = 1/2(x+2) + 2
=> y = 1/2 x + 3
Hence, the equation of the line is y = 1/2 x + 3.
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Please help!!!
Explain and correct the error in this calculation.
Answer:
for more math help use the app called connects
A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?
Answer: 90 seconds or 1 min. and 30 sec.
Step-by-step explanation:
72/4=18
18x5=90
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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Original Price = $ 20, % Markup = 15%
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
y = (x + 1)(x - 2)
Distribution
Alguém pode me ajudar por favor???????????
Answer:
The asnwer is the first one
Step-by-step explanation:
thx for the poins
ASAP plzzz thanks
What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15
Answer:
its 15 ur counting by 3's
Step-by-step explanation:
Answer:
it is 15
Step-by-step explanation:
just go by 3's 3,6,9,12,15,18,21,24,27,30
Solve : 4(4p+6)=16 find the value of p
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2
can anyone help ?????
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
1. Given: 3(m-2) + 14 = 38
Prove: m= 10
please help it’s a proof
Answer:
It is 10 (m=10)
Step-by-step explanation:
3 (10-2) + 14 Subtract whats in the parentheses
3 (8) + 14 Multiply 3 and 8
24 + 14 Add the remaining to get the sum ( 24 + 14 )
38 (Your total)
~~~Hope this helps~~~
Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?
Answer:
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Step-by-step explanation:
Science club flyers = 12
Music club flyers = 18
He wants to make sure that no flyers are left over.
Find the highest common factor of 12 and 18
12 = 1, 2, 3, 4, 6 and 12
18 = 1, 2, 3, 6, 9 and 18
The highest common factor of 12 and 18 is 6
The greatest number of locations that Leon can post at is 6 locations
Science club flyers = 12
= 12 / 6
= 2
Leon will post 2 science club flyers in each location
Music club flyers = 18
= 18 / 6
= 3
Leon will post 3 music club flyers in each location
Leon will post 2 science club flyers in each location
Leon will post 3 music club flyers in each location
The greatest number of locations that Leon can post at is 6 locations
Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31
Answer:
I have no idea butter needed points im sorryyy
Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18
Answer:
1 = 3
2 = 1 ( I assumed the equation is y-4 = [(x+5)]
3 = -6
Step-by-step explanation:
Solve.
5 (2 – 3) < 5W + 20
Answer:
W > -5
Step-by-step explanation:
5×(-1) < 5W + 20
-5 < 5W + 20
-25 < 5W
-5 < W
W > -5
factorise
x² - 7x +10
What is the least common multiple (LCM) of 3 and 5?
Answer:
the lcm of 3 and 5 is 15 I hope this helps
Step-by-step explanation:
Solve: 0.072 = w - 3.6 w = _____
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
What's the square root of 17 rounded to the nearest tenth
Answer:
4.0
Step-by-step explanation:
Answer:
4.1
Step-by-step explanation:
4.1231056 is [tex]\sqrt{17}[/tex]
When rounding to the nearest tenth, we get
4.1
Hope I helped,
PumpkinSpice1
What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in
Please can someone help me?? I’ll give brainliest to the correct answer!!
Which situation does NOT show causation?
A) When the student population at a school increases, the number of teachers at the school increases
B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving
C) When there are more workers on a project, the project is completed in less time.
D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.
Answer: D
Step-by-step explanation:
A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.
Answer:
h = 5.42
r = 5.42
Step-by-step explanation:
Find h with respect to r:
V = πr²h = 500
h = 500/πr²
Plug this into the surface area equation:
SA = πr² + 2πrh
= πr² + 2πr(500/πr²)
= πr² + 1000/r
Differentiate and set to 0, solve for r:
dSA/dr = 2πr - 1000/r² = 0
2πr = 1000/r²
r³ = 500/π
r = (500/π)^1/3
≈ 5.42 cm
find h:
h = 500/πr²
= 500/[π(5.42)²]
= 5.42cm
PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!
Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.
Taylor hits another driver and injures them severely.
The case goes to trial and there is a verdict to compensate the injured person for $40,000.
a) How much does Taylor have to pay?
b) How much does Taylor's insurance pay?
Answer: she will have to pay $500 and her insurances has to pay $40,000
Step-by-step explanation:
Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.
.53х^2 – .6х^3
Standard form
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?
Answer:
10 ft 9 in
Step-by-step explanation:
If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
The total distance according to the given condition is,
= 12 × 10 3/4 inches
= 12 × 43/4
= 129 inches
Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
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A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15
Answer:
A. 14x⁴ - 18x³ + 43x² + 24x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpandingStep-by-step explanation:
Step 1: Define expression
(7x + 5)(2x³ - 4x² + 9x - 3)
Step 2: Expand
Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15Can someone explain how you solve proofs?
Answer:
Yeahh
Step-by-step explanation:
Write the statement in one side and give the reasons on other side.
And then proof it by accurate reason