Corrected Question
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer:
y=0.62x+2
Step-by-step explanation:
In the attached circle drawn using Geogebra
Center is at point A(0,2)Point B on the circumference has coordinates (1.7,3.05)Radius of the circle=2 UnitsGradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]
[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]
Line AB intercepts the y-axis at y=2, therefore: b=2
The slope-intercept form of the line AB (in this case) is therefore:
y=0.62x+2
For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.
You can try one of your own!!
How to write (X+3)(x+5) in a equivalent expression
Answer:
x^2 +8x+15
Step-by-step explanation:
(X+3)(x+5)
FOIL
first x^2
outer 5x
inner 3x
last 15
Add together
x^2 +5x+3x+15
x^2 +8x+15
Answer:
Step-by-step explanation:
(x+3)(x+5)=x²+5x+3x+15
x²+8x+15 is equivalent to: (x+3)(x+5)
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
88 inches
Step-by-step explanation:
The given bicycle has a tyre that is 28 inches in diameter.
How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.
This is calculated using the formula:
C =\pi \: d
We substitute the diameter and
\pi = \frac{22}{7}
C = \frac{22}{7} \times 28
This simplifies to
C =22 \times 4
88 \: inches
The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.
Answer:
The ballast bag hits the ground after 6 seconds.
Step-by-step explanation:
Suppose there was a small typing mistake.
The height of the ball, after t seconds, is given by the following equation:
[tex]f(t) = -16t^{2} + 576[/tex]
After how many seconds t does the ballast bag hit the ground.
This is t for which f(t) = 0. So
[tex]f(t) = -16t^{2} + 576[/tex]
[tex]-16t^{2} + 576 = 0[/tex]
[tex]16t^{2} = 576[/tex]
[tex]t^{2} = \frac{576}{16}[/tex]
[tex]t^{2} = 36[/tex]
[tex]t = \pm \sqrt{36}[/tex]
Time is a positive measure, so
[tex]t = 6[/tex]
The ballast bag hits the ground after 6 seconds.
25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5
Answer:
no solutions
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
Subtract 13 from each side
(X-2)^2/3 + 13-13 = 5-13
(x-2) ^2/3 = -8
Raise each to the 3/2 power
(x-2) ^2/3 ^3/2= -8^3/2
(x-2) = (-512) ^1/2
We cannot take the square root of a negative number and remain in the real number system
There are no solutions
Answer:
No real solutions
Imaginary/complex solutions:
x = 2 +/- 16sqrt(2)i
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
(X-2)^2/3 = -8
(X - 2)² = (-8)³
X - 2 = +/- sqrt(-512)
No real solution
x = 2 +/- 16sqrt(2)i
(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5
[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5
(-512)^⅓ + 13 = 5
-8 + 13 = 5
5 = 5
What is the slope of the line with the equation:
6x + 2y = 8
Answer:
Using the slope-intercept form, the slope is 3 .
Step-by-step explanation:
what is the y value of the solution to the following system of linear equations?
Answer:
y = 3
Step-by-step explanation:
I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor
Answer:
1. x^8
2.1
3.x^15
4.x^10
5.x^6
6.x^5y^5
7.x^-6
8.x^9
9.x^14
10.x^5
11.x^-1
12.x^11
Step-by-step explanation:
The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.
Amount of food in feeder at end is (16 - a) fl oz
Given that;
Amount of food in feeder in starting = 16 fl oz
Find:
Amount of food in feeder at end
Computation:
Assume;
a fl oz eats by animals
So,
Amount of food in feeder at end = 16 - a
Amount of food in feeder at end = (16 - a) fl oz
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A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is an E
Answer: 1/10 or 10%
Step-by-step explanation:
The required probability that the card is an E will be 0.1%.
What is probability?A Probability can be defined as the ratio of favorable outcomes to the total number of events.
P(E) = Number of favorable outcomes / total number of outcomes
A set of cards has sample = U E A R Q H C H L A
Total number of sample s(n) = 10
We need to find the probability that the card is an E
For probability for E,
p(E)= 1 / 10 = 0. 1%
Thus, the required probability that the card is an E will be 0.1%.
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help ASAP 20 POINTS!!!!!!!
Answer:
fraction 2/3
decimal 0.66666
percentage 66.70%
Step-by-step explanation:
Hope this helps.
Answer:
Fraction Die: 1/6
Decimal Die: 0.16 or 0.2
Percentage Die: 16.6% or 17%
Fraction Spinner: 1/2
Decimal Spinner: 0.5
Percentage Spinner: 50%
Step-by-step explanation:
There are two of each color in the spinner, so it is a 50% chance of getting yellow.
There are 6 faces in the die so the chance of getting a 4 is 1/6
can someone please help me with this question "when trying to find my heart rate, i counted 25 beats in 20 seconds. How many beats would that be per minute? please explain."
Answer:
75
Step-by-step explanation:
because if you multiply 20 and 25 by 3 you get 60 and 75, 60 being the amount of seconds are in a second and 75 being your heartrate per minute.
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.
Question:
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
Options B & C are correct.
Step-by-step explanation:
Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
L = 12 m
w = 12 m
h = 10 m
To find the volume of this rectangular prism, let's use the formula:
V = w*h*l
V = 12 * 12 * 10
V = 1440 m³
Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
b = 12 x 12
h = 8
The volume of a square pyramid formula is:
V = ⅓*a²h
V = ⅓*12²*8
V = 384 m³
To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.
V = 12*12*10 + ⅓*12²*8
V = 1440 + 384 = 1824m³
Therefore, the space inside greenhouse 1 is 1824m³
Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
b = 12 m
h = 8 m
height of prism = 12 m
To find the volume of a triangular prism, we have:
½*(bh) * h
V = ½(12*8)*12
V = 576 m³
To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.
V = (12 * 12 * 10) + (½(12*8)*12)
V = 1440 + 576
V = 2016 m³
Therefore, the space inside greenhouse 2 is 2016m³
From the calculations above the correct options would be:
(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Options A, D and E are wrong.
Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.
Answer:
THE ANSWERS ARE.... B AND C
B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Step-by-step explanation:
i just took it on EDGE 2020. I hope it helps :)
Which is the equation of the graphed line written in
standard form?
y = x
0 x 1/2y = 0
© x-y = 0
5-3211 2
3
4
5
X
o y = 2 x
Answer:
x - y = 0
Step-by-step explanation:
When y = x is written in standard form, it equals x - y = 0
0 + y = x
- y - y
0 = x - y
If this answer is correct, please make me Brainliest!
Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?
Answer:
Step-by-step explanation:
Notice that the inputs {5, -8, -1, -5} are all different. So we can immediately conclude that this is a function.
If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.
what is the volume of the solid
Answer:
204 cubic feet
Step-by-step explanation:
The formula for the volume of a rectangular prism is simply to multiply together the length, width, and height. In this case, 6*17*2=204 cubic feet. Hope this helps!
Answer:
do 16x17 divided by 2
Step-by-step explanation:
:)
Someone please help me
Step-by-step explanation:
4x + 12x = 320 (given in picture)
16x = 320 (combine like terms: 4+12 = 16)
x = 20 (isolate x for answer: 320/16 is 20)
:)
please help me i really need to pass.
Which number has the least value?
Answer:
Your annswer is b
Step-by-step explanation: because it is least than all of the others
The number that has the least value is given as -13.142.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.
Write all the numbers in one equivalent form as below,
⇒ |-10.869| = 10.869
⇒ -14⁶/₇ = -14 + 6/7 = -13.142
⇒ 9.21
⇒ |-10.25| = 10.25
It is clear from the equivalent form that the least value is -13.142.
Hence, the the least value number is obtained as -13.142.
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Carys is checking her tax bill for the last year
Answer:
i dont under stand the question
Step-by-step explanation:
What is the length of AB?
Answer:
10
Step-by-step explanation:
You use the distance formula by finding the x and y difference, and you get 8, for x value, 6 for y value, and then you use Pythagorean theorem to get 10 for AB.
At a bake sale, there are 50 chocolate cupcakes and 30 vanilla cupcakes. Of these cupcakes, 15 chocolate and 5 vanilla have cream filling. What percentage of the cupcakes have cream filling?
Answer:
25%
Step-by-step explanation:
50+30 = 80
15 + 5 = 20
20/80 = 0.25, or 25%
Answer:
25% of cupcakes have cream filling
Step-by-step explanation:
15+5=20
50+30=80
20÷80=0.25
0.25×100=25
Fun Tees is offering a 30% discount on all merchandise. Find the discounted price of a T-shirt originally priced at $16. Solve in at least two ways.
Answer:
Step-by-step explanation:
Discount = % discount × cost price given.
Discounted price = cost price - discount
% discount = 30%
cost price given = $16
Discount = % discount × cost price given.
= (30/100) × $16
= $4.8
Giveaway price = $16 - $4.8
= $11.2
distance between two points: what is the distance between 2, -3 and 8, -9?
Answer:
6sqrt(2) units
Step-by-step explanation:
Distance² = (-9 - -3)² + (8 - 2)²
Distance² = (-6)² + 6²
Distance² = 36 + 36
Distance² = 72
Distance = 6sqrt(2)
sqrt: square root
Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.
Answer:
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Step-by-step explanation:
(p+4q)^3 -->
(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
What is the slope of the line that passes through the points (2, 3) and (-2, 6)?
Answer:
Step-by-step explanation:
(6-3)/(-2-2) = -(3/4)
Answer:
-3/4
Step-by-step explanation:
You use the slope formula y2 - y1
--------------
x2- x1
Plug the numbers in and subtract, simplify if possible.
WHen you plug it in it should look like this. 6 - 3 3
---------- = - ---
-2 - 2 4
cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom
Answer:
1.975 pints of white paint
Step-by-step explanation:
Let blue paint represents by 'b' and white paint represents by 'w'.
Then according to the question
b + w = 7.9 pints .......(1)
Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount
= [tex]\frac{3}{4}\times 7.9[/tex]
= 5.925 pints
Hence the amount of blue paint is 5.925 pints.
Now putting the value of 'b' in equation (1)
5.925 + w = 7.9
w = 7.9 - 5.925
w = 1.975 pints
Cathy used 1.975 pints of white paint to paint her bedroom.
What is the volume? Please answer asap.
Answer:
20
Step-by-step explanation:
What is the slope of the line that passes through (1,-19) and (-2,-7)?
The formula for the slope of a line is m = (y2 - y1) / (x2 - x1).
Point 1 = (1, -19)
Point 2 = (-2, -7)
m = (-7 - -19) / (-2 - 1)
m = (-7 + 19) / (-2 - 1)
m = 12 / -3
m = -4
Hope this helps! :)
Liza comes to the swimming pool once every 6 days. Jenny comes once every 4 days and Olga comes once every 10 days. This Monday all of them were in the pool.
How many days after this Monday will all of them meet at the swimming pool again?
Answer:
60 days
Step-by-step explanation:
L.C.M. of 6,4,10=60
as 6=2×3
4=2×2
10=2×5
L.C.M. =2×3×2×5=60
after 60 days they will again together.