Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
Explain how the vertical line test can be used to determine if a graph
is a function.
Answer:
Step-by-step explanation:
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Example:
Answer:
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
MATH HELP PLEASE HELP
Answer:
75 cm
Step-by-step explanation:
150÷2 = 75
Good luck with your exam :)
Answer:
75
Step-by-step explanation:
Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.
We are given the diameter (150) which is a straight line through the middle from one end to the other
To find the radius given the diameter you simply divide by 2
So answer = 150/2 = 75
Can someone help me out
Answer:
4 (100-250 words with a 100-word minimum)
Name a pair of adjacent angles and a pair of vertical angles in the figure
Answer:
Adjacent: <ABC and <CBD
Vertical: <ABC and <EBD
Step-by-step explanation:
Adjacent angles: Angles that share one ray.
Vertical Angles: Opposite angles created by the intersection of two lines.
Hope this helps!!
Which of the following ordered pairs is not in the solution set of y < 2x − 5? Question 27 options: (4, 3) (5, 0) (0, −7) (6, 4)
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
Answer:
Option (3)
Step-by-step explanation:
Properties for the vertical stretch or shrink of a function,
If a function is f(x) = k|x|
1). Function will be vertically stretched if k > 1
2). Function will have a vertical shrink if 0 < k < 1
To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.
And the value of k will be, 0 < k < 1.
Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.
Therefore, Option (3) will be the correct option.
helppppp meeee, I need all three, I need an explanation tooo
Answer:
Step-by-step explanation:
for the first one: d
What scale factor is shown by this graph?
4
1/2
2
1
Answer:
If it's AL to A'L' then its 1/2
If it's A'L' to AL then its 2
determine the equation of the circle graphed below .
( help please )
Answer:
(x+5)²+(y+7)²=4
Step-by-step explanation:
just count it
Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)
PLEASE ANSWER ASAP 45 POINTS !!!
Answer:
x= -34/3
Step-by-step explanation:
just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3
Finding the volume of the cone
Answer:
[tex]\frac{686\pi }{3}[/tex] or 718.3775
Step-by-step explanation:
Formula:
[tex]\pi r^2\frac{h}{3}[/tex]
we have
[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]
franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4
Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?
Answer:
Step-by-step explanation:
1/4
Which expression results in the smallest difference?
A.
B.
C.
12.5 - 3.1
12.5 -0.31
12.5 -0.031
D.
12.5 -0.0031
Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
Write the expression using an exponent.
1·7·7·7·7·7
Answer:
7⁵
Step-by-step explanation:
An exponent indicates how many times a number multplies itself.
Examples:
2² = 2* 2
2⁴ = 2 * 2 * 2 * 2
Which of the following is an arithmetic sequence with a common difference of +3?
A) 17, 14, 11, 8, ...
B) 1, 3, 9, 12, ...
C) 4, 7, 10, 13, ...
D) 12, 15, 19, 24, ...
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? THANK YOU SO MUCH TO WHOEVER ANSWERS IT I HAVE VERY LITTLE TIME!
Answer:
decreased by 50%
Step-by-step explanation:
[tex]\frac{x}{y}[/tex]
100% - 60% = 40% = 0.4
100% - 20% = 80% = 0.8
[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%
The solids are similar. Find the volume of solid B. Write your answer in terms of pi.
Two cylinders are shown. The cylinder at the left is labeled Cylinder A, and the radius of the base is labeled 12 inches. At the bottom of the cylinder reads, V equals 4608 pi cubic inches. The cylinder at the right is labeled Cylinder B, and the radius of the base is labeled 15 inches.
Help please!
69,120
Step-by-step explanation:
You multiply 15 times 4608
The volume of solid B cylinder is 9000π cubic units.
What is a cylinder?
A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.
For the given situation,
Cylinder A:
Let the radius of cylinder A be r1 = 12 inches
Let the height of cylinder A be h1
The volume of the cylinder A, V1 = 4608 π cubic inches
Cylinder B:
Let the radius of cylinder A be r2 = 15 inches
Let the height of cylinder A be h2
The volume of the cylinder A, V2
The formula of volume of cylinder is
[tex]V=\pi r^{2}h[/tex]
For cylinder A,
⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]
⇒ [tex]h1=\frac{4608}{144}[/tex]
⇒ [tex]h1=32[/tex]
Cylinder A and cylinder B are similar, so
[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]
⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]
⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]
⇒ [tex]h2=40[/tex]
Volume of cylinder B is
⇒ [tex]V=\pi (15)^{2}(40)[/tex]
⇒ [tex]V=9000\pi[/tex]
Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.
Learn more about cylinders here
https://brainly.com/question/15891031
#SPJ2
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
HELP ME PLEASE
find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
100 POINT PLEASE HELP QUICK!!!!
Answer:
[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]
[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]
Base
√50²-14²√2500-196√48²48Now
sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.
Answer:
basically the opposite
Step-by-step explanation:
its inverted therefore find out how to get c b a and boom
Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h
1025 + 503 – 1412 – 7
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
please help with number 53!!!!
pretty please
Answer:
The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.
Happy learning!
--Applepi101 :)
Answer:
Arithmetic
Step-by-step explanation:
It has a constant difference between each number whilst Geometric usually has the same difference between each number
