Answer:
Step-by-step explanation:
6--6 = 12
4-1 = 3
12/3 = 4
y=4x
-6-4 = -10
y=4x-10
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (1, -6) and (4, 6).
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
Now,
(1, -6) = (a, b) and (4, 6) = (c, d)
Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4
m = 4
The equation of a line is given as y = mx + c.
(1, -6) = (x, y)
-6 = 4 x 1 + c
-6 = 4 + c
-6 - 4 = c
c = -10
Now,
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
Learn more about equation of a line here:
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Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Divide 140 in the ratio 1:2:7
Answer:14:28:98
Step-by-step explanation:
To divide a value by a ratio, we first find the total number of parts:
1+2+7 = 10
Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:
140 divided by 10 = 14.
Part 1: 14 x 1 = 14
Part 2: 14 x 2 = 28
Part 3: 14 x 7 = 98
What is the slope of the line shown?
Answer:1/2 slope
Step-by-step explanation:
Answer: -2
Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.
i think of a number, multiply it by 2, subtract 3, and multiply the result by 4
Answer:
4(2x-3)
Step-by-step explanation:
Let the number be x
⇒ Multiplying by 2 makes it 2x
⇒ Subtracting 3 makes it 2x-3
⇒ Multiplying the whole by 4 gives 4(2x-3)
please answer asap for brainliest
Answer:
5/8
Step-by-step explanation:
count the squares between one point to the other
Answer:
slope= 7/4
Step-by-step explanation:
It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).
Then use the slope formula with them:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]
Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit earning 5% annual simple interest to earn $390 of annual interest how much should she invest in each account?
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Porfa ayuda :c t.t u.u
Answer: 40
ADE = 70 por suma de angulos interiores en triangulo ADE
En triangulos BDE y AED
AE=BE por dato
DE lado comun
AED= BED= 90
por tanto los triangulos son iguales por tener dos lados y el angulo comprendido respectivamente iguales
Luego ADE = BDE = 70 y AD=BD=BC por ser triangulos BDE y AED iguales
Luego triangulo BDC isosceles de base DC
ADE + BDE + BDC = 180 por suma de angulos consecutivos
BDC = 180 - 70 -70 = 40
Ф = BDC =BCD = 40 por ser angulos bases de un triangulo isosceles
Write each statement as an algebraic expression. The quotient of the square of a number n and the cube of n increased by 5.
Will get brainiest answer
Answer:
n² / (n³ + 5)
what is x2 + y2 + 4x - 14y + 37 = in standard form
Steps:
Since there are no like terms. We have to convert the number that is x2 + y2 + 4x - 14y + 37 into standard form. The correct answer will be NaN X 10°
So that is in a standard form.
Answer: NaN X 10
Please mark brainliest
Hope this helps.
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
If BE is a diameter of the circle, find
MAB
A. 400
B 50°
C. 75
D 80
Answer:
B 50˚
Step-by-step explanation:
What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.
You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.
mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,
180˚=80˚+x
x=180-80
x=100
Now, you can solve:
Method 1:
360˚=80˚+80˚+50˚+100˚+x
360-80-80-50-100=x
x=50˚
Method 2:
180˚=80˚+50˚+x
x=180-80-50
x=50˚
This corresponds to answer choice B.
Answer:
B.
Step-by-step explanation:
Write the Equation for the line that goes through the points (30,75) and (60,50).
Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]
Step-by-step explanation:
my answer was wrong and cannot be deleted :)
A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text
Answer:
60 m³
Step-by-step explanation:
A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).
Given a prism with a base of length (l) = 5 m by width (w) = 3 m and a height (h) = 4 m.
Volume= l × b × h
Volume = 5 m × 4 m × 3 m = 60 m³
Answer:
60m3
Step-by-step explanation:
How many square roots is the area ?
4
1 The senior class is selling T-shirts for a fundraiser. The graph below shows the profit, in
dollars, the senior class will earn based on the number of T-shirts sold.
Senior Class Fundraiser
y
1601
140!
1201
1001
Profit (dollars)
80F
60
40
20
Y
10 20 30 40 50 60 70 80
T-Shirts Sold
What is the slope of the line shown in this graph?
A $4 per shirt
B$2 per shirt
С$0.50 per shirt
D$0.25 per shirt
Answer: A.) $4 per shirt
Step-by-step explanation:
Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.
Slope(m) = [change in y / change in x]
One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.
HERE,
y2 = 120, y1 = 40 and x2 = 50, x1 = 30
Slope = (y2 - y1) / (x2 - x1)
Slope = (120 - 40) / (50 - 30)
= 80/20
Slope = 4
$4 per shirt
What is the equation in slope-intercept form of the line?
Answer:
y= -8x
Step-by-step explanation:
theirs no b because it goes through (0,0)
to find slope you do 800-(-800) over -100-100
hope this helps:)
D(t)D, left parenthesis, t, right parenthesis models the distance (in thousands of \text{km}kmstart text, k, m, end text) from the earth to the Moon ttt days after the moon's perigee (when it's closest to the earth). Here, ttt is entered in radians. D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384D(t)=−21cos( 29.5 2π t)+384D, left parenthesis, t, right parenthesis, equals, minus, 21, cosine, left parenthesis, start fraction, 2, pi, divided by, 29, point, 5, end fraction, t, right parenthesis, plus, 384 How many days after its perigee does the moon first reach 380380380 thousands of \text{ km} kmstart text, space, k, m, end text from the Earth?
Answer:
6.48 days
Step-by-step explanation:
[tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]
About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
Answer:
Step-by-step explanation:
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
let x = amount of the 50% solution
A typical mixture equation using the decimal equivalent to
0.50x +0 .20(20) =0 .40(x+20)
0.50x + 4 = 0.40x + 8
0.50x - 0.40x = 8 - 4
0.10x = 4
x = 4/0.1
x = 40 qts of 50% solution
Hence 40 quarts of 50% solution must be added.Answer:
40 quarts I checked in RSM portal
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
H(a)= 3a - 4; Find h(8)
Answer:
20
Step-by-step explanation:
You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.
(4+7+5+5+2)+( 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8)=???
please help asp I will give ya 30 points
Answer:
87.375
Step-by-step explanation:
Answer:
699/8 or 87.375
Step-by-step explanation:
Assuming 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8 are mixed numbers.
what is the answer to 18−(2x+1) = ???
Answer & Step-by-step explanation:
18 - (2x + 1)
Distribute the negative sign (-) to 2x + 1.
18 - 2x - 1
Put -2x in the beginning of the expression and combine like terms.
-2x + 17
So, the answer to 18 - (2x + 1) is -2x + 17.
An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the dots for the squad's sprint training drills. She wants the squad to be able to run any distance which is a multiple of 10m, up to some maximum distance which depends on the number of cones.
Explain why it is not possible to place four cones A, B, C, D, in a line so that each multiple of 10m up to 70m can be run between two of the cones.
Answer:
There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters
Step-by-step explanation:
The parameters given are
Distance between two cones = 10 m
Number of cones = 4
Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = [tex]\binom{4}{2}[/tex] = 6
Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.
(6x?+ 5) - (4x - 3)
A. 6x2 - 4x + 2
B. 2x2 + 2
C. 2x2 + 8
O D. 6x2 - 4x + 8
Answer:
6x^2 -4x +8
Step-by-step explanation:
(6x^2+ 5) - (4x - 3)
Distribute the minus sign
(6x^2+ 5) - 4x + 3
Combine like terms
6x^2 -4x +8
Answer:
Step-by-step explanation:
C
Find the surface area of the composite solid.
PLZ HELP
Answer:
613.5 m^2
Step-by-step explanation:
The area of the base is
A = 1/2 bh
= 1/2 (10) (8.7) =43.5 m^2
We have three sides with all the same area
The area of one side is 10 * 16 = 160
3 * 160 = 480 m^2
Now to the top
We have 3 sides with the same area
The area of one side
A = 1/2 bh
A = 1/2 (10) (6)
= 30 m^2
3* 30 = 90
Add all the areas together to get the total surface area
43.5 m^2+ 480 m^2 + 90 m^2
613.5 m^2
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
What’s the answer to this?
Answer:
256
Step-by-step explanation:
First..
8*2=16
Now
16 (squared)=256
Answer:
The answer is 32
Step-by-step explanation:
8 x 2 is 16
16 is 2 is 32
pls give me brainliest, I show work
£880 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Krutika get?
Answer:
264 pounds
Step-by-step explanation:
Write the question in the form of a ratio:
Natasha: Krutika: Jim
1:3:6
Now, we divide the amount of 880 in the ratio.
there are 10 parts in total.
1 part = 880 divided by 10 = 88.
since Krutika gets 3 parts, she gets 88 x 3 = 264
My question is 3x + (2− 4x)
Answer:
3x+(2-4x)
= 2 (3x+4x)
=2 (7x)
=2/7x
=7x/2
=3.5
Step-by-step explanation:=3.5
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
same
Step-by-step explanation:
The maximum of f(x) is 8 because it's written in vertex notation. From the graph, g(x)'s maximum is 8 so the answer is that they have the same maximum.
