Answer:
y = -⁵/₃x + 8Step-by-step explanation:
The equation of the line in slope-intercept form: y = mx + b, where m is a slope and b is y-intercept
Slope of line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(0, 8) ⇒ x₁ = 0, y₁ = 8
(3, 3) ⇒ x₂ = 3, y₂ = 3
[tex]\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}[/tex]
b = 8
Therefore the equation: y = -⁵/₃x + 8
9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
Help me please with math
Answer:
d. 2x³y + 12x²y² + 18xy³
Step-by-step explanation:
Volume = l x b x h
= 2xy × x + 3y × x + 3y
= 2xy × (x + 3y)²
= 2xy × (x² + 6xy + 9y²)
= 2x³y + 12x²y² + 18xy³
5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.
Answer:
a or c Im not sure
Step-by-step explanation:
I think b though
The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given,
Loren is running at speed of 10 feet per second.
Speed = distance covered/time taken
10 = distance covered/time taken
In line B, the ratio of distance covered/time taken is 10.
Thus, line B will be correct.
Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".
To learn more about graphs,
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can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is
Answer:
point form : (9,2) equation form : x=9 y=2
Step-by-step explanation:
Write 3-5 sentences about the process of the Sums and differences of cubes Factoring Method
Answer:
nah nah mane 12
Step-by-step explanation:
Answer:
Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.
Step 2: Rewrite the original problem as a difference of two perfect cubes.
Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:
Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.
Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.
Step 4: Write the final answer.
Step-by-step explanation:
A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth
Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units
PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!
Step-by-step explanation:
The height of the swipe card is given by :
[tex]h(t)=-3t^2+15t+18[/tex] .....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]
It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).
[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]
Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Point T bisects UV. Find UV if UT = 2 inches
Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
A plastic box has the dimensions shown. 2 square pyramids are stacked on their bases. The bases are 8 centimeters by 8 centimeters and the height of each pyramid is 7.5 centimeters. What is the volume of the box? 160 cm3 320 cm3 480 cm3 960 cm3
Answer:
the answer is 320
Step-by-step explanation:
just did the instruction
Answer:
320
Step-by-step explanation:
To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Wow look at my full percent battery
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
Learn more about the area of sectors here:
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find the value of given expression
[tex] \sqrt{99 - ( - 1)} [/tex]
Answer:
10
Step-by-step explanation:
Note that when there are two negative signs directly next to each other, you are adding:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]
Simplify:
[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]
10 is your value for the given expression
Answer:
± 10Step-by-step explanation:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10HELPP PLEASEEE
John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.
Question:
The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.
Answer:
The equivalent is 37.5%
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex]
Required
The equivalent
The model is not shown, but the question can still be solved.
We have:
[tex]\frac{3}{8}[/tex]
Multiply by 100%
[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]
[tex]\frac{3}{8} = 0.375 * 100\%[/tex]
[tex]\frac{3}{8} = 37.5\%[/tex]
More trig ratios see attachment
Answer:
TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15
Step-by-step explanation:
Tan = opposite/adjacent, so 9/12
WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15
Tan again, is opposite/adjacent, so 12/9
Cos is adjacent/hypotenuse, so 12/15
Hopefully this helps! Let me know if you have any questions
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
Joel has a goal to practice his clarinet for 4 ½ hours per week. The list below shows the number of hours Joel has practiced so far this week.
Answer:
3/4 hours
Step-by-step explanation:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour. How many more hours does he need to practice this week to meet his goal?
Total practice hours per week = 4 1/2 hours = 9/2 hours
Hours of practice so far for the week:
Monday = 1 1/2 hours = 3/2 hours
Wednesday = 1 1/4 hours = 5/4 hours
Thursday = 1 hour
Total = Monday + Wednesday + Thursday
= 3/2 + 5/4 + 1
= (6+5+4)/4
= 15/4 hours
How many more hours does he need to practice this week to meet his goal
Hours needed to meet goal = Total practice hours per week - Hours of practice so far for the week
= 9/2 - 15/4
= (18-15)/4
= 3/4 hours
Hours needed to meet goal = 3/4 hours
Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
Which equation demonstrates the multiplicative identity property?
Answer:
B. (-3+5i)(1)= -3+5i
Step-by-step explanation:
The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.
need help due today .
Answer:
Radius=7.5cm
Diameter=15cm
Step-by-step explanation:
The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.
HOPE THAT HELPS AND MAKES SENSE! :)
Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,
Answer:
2 ft
Step-by-step explanation:
[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]
[tex] 7x = 4 \times 3.5 [/tex]
[tex] x = 2 [/tex]
Answer: 2 ft
please help as soon as possible and please don’t take advantage of the points
a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours
Answer:
2 hours
Step-by-step explanation:
HELPPME PLEASE ASAP i will give brainliest
Answer:
don't know but I think these is the answer =
17
Step-by-step explanation:
90 - 73 = 17
What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
what is the sum of the exterior angels of a 28 sided polygon ?
Answer: All polygons follow a rule that the sum of their exterior angles will equal 360 degrees.