y = -2(x + 4)(x - 3)
y = -2(x² + x - 12)
y = -2x² -2x + 24
What is the equation of this line?
Write the equation in slope-intercept form.
Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
A pyramid has a rectangular base of dimensions 15 cm and w cm. Given that its height and volume are 18 cm and 826 cm3 respectively, find the value of w.
Answer:
9.18 cm
Step-by-step explanation:
A pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.
for a rectangular pyramid, the base is a rectangle
The volume of a pyramid = 1/3 × (area of the rectangle x height)
Area of a rectangle = length x width
15 x w = 15w cm²
826 = 1/3 x (15w x 18)
multiply both sides of the equation by 3
15w x 18 = 2478
Divide both sides of the equation by 15 x 18
w = 9.18 cm
divide both sides by 10
Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3
Answer:
B.
Step-by-step explanation:
V = (pi)r^2h
V = 3.14 * (8 m)^2 * 28 m
V = 5626.9 m^3
Answer: B.
Is 1.58745078664 rational or irrational?
Thank you!
Answer: Rational
Step-by-step explanation:
1.58745078664 is rational
This is due to the fact that the number can be expressed with the ratio of two integers. If you were unable to do so, it would be irrational.
prove that y = 8/x is nonlinear
Answer:
Step-by-step explanation:
y=8/x
xy=8
input output
-4 -2 (-4×-2=8)
-2 -4 (-2×-4=8)
2 4 (2×4=8)
4 2 (4×2=8)
it is non linear.
if joe drops 1lb. a week for 4 months,how much weig ht will he lose
Answer: 120 pounds
Step-by-step explanation: 30 days in a month so times that by 4 months
Answer:
12
Step-by-step explanation:
Can I have some help please
Answer:
I think it's trapezium .
if the original parabola defined by y= x ^2, how would it change if y= 2 (x - 3) +1 were graphed instead?
Answer:
It would be stretched vertically by a factor of 2, shifted right 3, and shifted up 1
Step-by-step explanation:
Note that inside the parentheses, the shift is the opposite direction of the add/subtract sign.
Answer: A
Step-by-step explanation:
2. Is the triangle below a right triangle? Justify your answer.
39
31
35
Answer:
No
Step-by-step explanation:
39 + 31 + 35 = 105
Yes the triangle below is a right triangle. The triangle is a right triangle because of the 90 degree angle.
select all that apply.
Can someone plz help
Answer:
4th choice which is 50.24 sq.m
Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:
Website A Website B
Number of writers 555 111111
Number of posts posted 110110110 200200200
Average number of words of post 100100100 170170170
Average likes per post 350035003500 350035003500
Average comments per post 500500500 450450450
Number of new subscribers 900090009000 20{,}00020,00020, comma, 000
Revenue \$30{,}000$30,000dollar sign, 30, comma, 000 \$75{,}000$75,000dollar sign, 75, comma, 000
Expenses \$20{,}000$20,000dollar sign, 20, comma, 000 \$47{,}000$47,000dollar sign, 47, comma, 000
Profit (Revenue-−minusExpenses) \$10{,}000$10,000dollar sign, 10, comma, 000 \$28{,}000$28,000dollar sign, 28, comma, 000
Charlotte wants to know which website produces a larger amount of content per a single writer.
1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A, Checked, Correct)
CORRECT (SELECTED)
Average number of posts per writer
(Choice B, Incorrect)
INCORRECT
Total number of words
(Choice C, Checked, Correct)
CORRECT (SELECTED)
Average number of words per writer
(Choice D, Incorrect)
INCORRECT
Average number of likes per word
2) Determine which website produces a larger amount of content per a single writer according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A, Incorrect)
INCORRECT
Yes. According to both definitions, website A produces a larger amount of content per a single writer.
(Choice B, Incorrect)
INCORRECT
Yes. According to both definitions, website B produces a larger amount of content per a single writer.
(Choice C, Checked, Correct)
CORRECT (SELECTED)
No. The definitions have opposite results.
Answer:
WOAH
Step-by-step explanation:
AWESOME EDUCATION DUDE
Answer:
1) These are the two definitions Charlotte came up with to define the quantity:
Average number of posts per writer
Average number of words per writer
2) The definitions have opposite results.
Step-by-step explanation:
Khan :)
please help !!! this is another timed question omg
PLEASE HELP! Tis urgent-
Answer:
Rectangular Pyramid.
Step-by-step explanation:
I believe the rectangular pyramid has a greater volume. :) Hope I helped! Have a wonderful day! Please give brainliest! Remember your worth!!! :D
solve using substitution
y = -x - 6
4x - 2 =0
I can't seem to get this one can someone please help me
Answer:
The answer should be C
Step-by-step explanation:
Answer
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
Please help worth 25 points
A rectangle has a base that is three feet longer than its height. The area of the rectangle is 54 square feet. What are the dimensions of the rectangle?
Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Mar 19, 17:52:58 AM
What are the odds that the spinner lands on red.
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
I hope this helps a little bit.
From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?
Answer:
1974.6 feets
Step-by-step explanation:
The plane's altitude is : h + 100 feets
To obtain h, according to the attached picture ;
We can use trigonometry :
Tan θ = opposite / Adjacent
Opposite = h ; adjacent = 3000 feets
Tan 32° = h / 3000
h = 3000 * 0.6248693
h = 1874.6080
Plane's altitude :
h + 100 feets
(1874.6080 + 100) feets
= 1974.6 feets
please help with my geometry
Answer:
45
Step-by-step explanation:
90+45+45=180,k
Describe what is shown in the graph below
Someone pls help im new tysm if you do!
Answer:
-24 is your answer<3.....
the parenthess are just multiplication, so 6*-4 is -24
A child sees a bird in a tree. The child’s eyes are 4 feet above the ground and 12 feet from the bird. The child sees the bird at the angle of 40°. What is the bird's approximate height above the ground? Round to the nearest tenth.
Answer:
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Find the area of the polygon. Please help.
Answer:
40 units
Step-by-step explanation:
The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40
Hey there!
The correct answer is 40 units squared.
We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:
(4 * 5) / 2 = area
20 / 2 = area
10 = area
Now we can multiply it by 4, which gives us 10 * 4 or 40.
Have a terrificly amazing day! :D
Mrs. Vance buys 710 grams of strawberries.
She has 210 grams of strawberries left after making
5 glasses of strawberry smoothie.
How many grams of strawberries does she use for a glass?
How do you do it using a bar model
142 grams because 710 divided by 5 is 142 and she made 5 glasses with 710 grams.
if I'm wrong tell me I'll re do my equation
Can someone please answer this for me.
Answer:
[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]
Step-by-step explanation:
The top and bottom points of the line are
(3,0) and (10,9)
[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]
So,
[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangles. Plz this is due today!!!! I tried 3 times already!!!! More in pic.
9514 1404 393
Answer:
angle pairs: correctEF/HI = EG/HJ = FG/IJStep-by-step explanation:
As with the angle pairs, use the corresponding vertices to name corresponding segments.
As is done here, I find it convenient to list the vertices vertically in the order shown in the similarity statement.
∠E ≅ ∠H∠F ≅ ∠I∠G ≅ ∠JThis can make it easier to identify the corresponding vertices used for naming segments.
__
Moving on the the extended proportion, ...
The denominator HI uses the first two vertices, with E corresponding to H and F corresponding to I. The appropriate ratio is ...
EF/HI
The denominator HJ uses the 1st and 3rd vertices, with E (still) corresponding to H and J corresponding to G. The appropriate ratio is ...
EG/HJ
Similar thinking is used to identify the last ratio:
FG/IJ
Then the extended proportion is ...
EF/HI = EG/HJ = FG/IJ
A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the nearest tenth of a meter, corresponding to the 43.4-m base.
Answer:
3.5m
Step-by-step explanation:
A parallelogram has sides 17.3 m and 43.4 m long.
The height corresponding to the 17.3-m base is 8.7 m.
The area of a parallelogram = base × height
= 8.7m × 17.3m
= 150.51m²
Both parallelograms have the same area
Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:
= 150.51m²/43.4m
= 3.4679723502m
Approximately = 3.5m
Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing? A- 1/2 divided by 2 B- 2 divided by 1/2 C- 2 times 1/2 D- 1/2 divided by 1/2
Answer:
b
Step-by-step explanation:
To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing
2 ÷ [tex]\frac{1}{2}[/tex]