Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.
Answer:
false
Step-by-step explanation:
that is the definition of a perpendicular line
need help due today pls
Answer:
18
Step-by-step explanation:
Look at the paired sides
what would the ratio of 10 and 15 be
2:3
So let's apply that to the other side
12:?
2:3
6*3=18
Let me know if I am right
Any line perpendicular to the line y = 2x +4 has a slope of -2.
True
False
Thank you sm if you can help me :)
Answer: FALSE
You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?
Answer:
Using point (0,2) and gradient 1/3
Equation of the line is
y - 2 = 1/3(x -0)
Multiply through by 3
You'll get
3y - 6 = x
3y = x - 6 or y = 1/3x - 2
Hope this helps.
Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answer:
Model B or 1/3 of the Pizza
Answer:
1/3
Step-by-step explanation:
model 1/3
Question 1 (1 point)
Solve
- +13 > 10
(Blank 1 is <,>, S, or 2. Blank 2 the number)
Recall that < and > are on the keyboard. You can get S and respectively by doing Alt < and Alt > on the keyboard. You may also copy the
symbols from the instruction page or the Copy Symbol and Keyboard Shortcuts Page.
Blank 1:
Blank 2:
Help please :/.
What is the surface area of a cube where the length of each edge is 4 feet?
A) 12 sq ft
B) 24 sq ft
C) 64 sq ft
D) 96 sq ft
Answer:
the answer is 96 square feet
you could use
4×4=16
then times how many rectangle you have which is 6
After being rearranged and simplified which of the following equations could be solved using the quadratic formula? Check all that apply.
Answer:
B
Step-by-step explanation:
Because you subtract 14 from the right and left of the = sign
and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13
This is a math question plz try you best
Answer:
11/12
Step-by-step explanation:
Calculate the sum
rewrite the fraction
simplify the fraction
Solution 11/12
pls help i cant find
Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (negative 3, 0) and (negative 1, 4).
The rate of change shown in the graph is .
Answer:
1/2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
I literally did it on edge 2020 and got it right.
On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y
Answer:
d) The equation of the standard parabola
x² = 6 y
Step-by-step explanation:
The given directrix is y= -31.5
The equation of the parabola is of the form x² =4 a y
Given focus (0,1.5) , Here a= 1.5
The equation of the standard parabola
x² = 4 a y
x² = 4 (1.5)y
x² = 6 y
Conclusion:-
The equation of the standard parabola
x² = 6 y
The equation that represents the parabola shown on the graph is x∧2 = 6 y
What is a parabola?
A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.
The graph shows a vertical parabola opened upwards with the vertex at the origin.
How to determine the equation
The equation of the parabola from the graph is;
x∧2 = 4ay
The equation of the directrix;
y = -a = -1. 5
Thus, the value of a = 1.5
Then, substitute the value of a = 1.5 in the equation deduced from the graph
x∧2 = 4 × (1.5) × y
x∧2 = 6 y
Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y
Learn more on parabola here:
https://brainly.com/question/4061870
#SPJ2
Please help me with my question!!
Answer:
10
Step-by-step explanation:
Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4
2 1/2 = 5/2
(5/2)/(1/4) = 20/2 = 10
Please help me with the working plz
Answer:
10 square centimeters
Step-by-step explanation:
The insides of this square is now made up of a 2 by 2 square in the center, surrounded by 4 triangles with bases of 3 units and heights of 1 unit. The formula for the area of a triangle is bh/2, which means that each triangle had an area of 1.5. Multiplying this by 4 and adding the area of the central square, you get a total area of 4+6=10. Hope this helps!
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!
Answer:
C
Vertex at (-4 , 18)
Step-by-step explanation:
The vertex's x-coordinate is -4
To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.
-2 (-4 + 4)^2 + 18
-2(0)^2 + 18
= 18
Vertex at (-4, 18)
A 74-inch rake is leaning against a wall. The top of the rake hits the wall 70 inches above the ground. How far is the bottom of the rake from the base of the wall?
Answer:24
Step-by-step explanation:
By Pythagoras
a^2=b^2 +c^2
74^2-70^2=c^2
C=√576
C=24
If p(y) = y^3+3 y^2-5y-6, then p (-3) = ------------------
Answer:
9
Step-by-step explanation:
[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]
Hope this helps!
Answer:
p(-3)=9
Step-by-step explanation:
This question ask us to find p(-3), or what p(y) is when y is equal to -3.
We know that:
p(y)= y^3+3 y^2-5y-6
We want to find p(-3), so substitute -3 in for every y.
p(-3)= (-3^3)+3(-3^2)-5(-3)-6
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponents first (-3^3 and -3^2)
-3^3=-3*-3*-3= -27
-3^2= -3* -3= 9
p(-3)= -27+ 3(9) -5(-3) -6
Next, multiply 3 and 9
p(-3)= -27+27-5(-3)-6
Then, multiply -5 and -3
p(-3)= -27+27+15-6
-27 and 27 equal 0, so they cancel each other out.
p(-3)=15-6
p(-3)= 9
What is the quotient of y/4 divided y/8
Answer:
2
Step-by-step explanation:
when you divide fraction, you flip the second fraction and change to multiply
y/4 *8/y =8/4 =2
Answer:
2
Step-by-step explanation:
[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]
= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]
= [tex]\frac{8y}{4y}[/tex]
= 2
Hope this helps <_>
The exact value of Tan 30 x sin 60
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]
[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2}[/tex]
Answer:
[tex]1/2[/tex]
Step-by-step explanation:
Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]
Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Multiply the 2 roots you get my answer 1/2
A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? The length of each leg is____ inches.
Answer: The length of each leg is 10 inches.
Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.
If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.
The area of a triangle is given as
Area of triangle = 1/2 (b*h)
Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.
Hence, the area can be re-written as follows;
Area of a triangle = 1/2 (b*h)
50 = 1/2 (b*h)
By cross multiplication, you now have
50 *2 = b*h
100 = b*h
Having already determined that b equals h,
100 = h²
Alternatively
100 = b²
Therefore, adding the square root sign to both sides of the equation, you now have
√100 = √h²
10 = h
Therefore, the length of each leg, both base and height is 10 inches
Please help with this question
answer:
is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!
Answer:
a) 1/(7x-14)
b) 2 (36-y^2)
Step-by-step explanation:
Please let me know if you need explanation
For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).
Answer & Step-by-step explanation:
When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.
f(x) = 3x + 1
g(x) = x² - 6
(3x + 1)(x² - 6)
Multiply each term from the first parentheses to the second parentheses.
3x³ - 18x + x² - 6
Combine like terms and make sure the expression is in standard form.
3x³ + x² - 18x - 6
So, your answer will be letter choice B.
26x=74 which describe how to solve the equation below
Answer:
x = 37/13
Step-by-step explanation:
26x=74
x=74/26
x=37/13
Write the polynomial which represents the perimeter of a triangle whose sides are represented
by 2x² + 3x, 5x²-1, and 3x² + 7x-1.
Answer:
The polynomial is 10x^2 + 10x -2
Step-by-step explanation:
To get the polynomial which represents the perimeter, what we need to do is to add up all
these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;
2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1
10x^2 + 3x -1 + 7x -1
10x^2 + 10x -2
There are two approaches to solving the equation -3x + 10 = 4x - 20
What is the answer? pls help
Subtract 4x from both sides. OR Add 3x to both sides.
–7x + 10 = –20 OR 10 = 7x – 20
Solve the equation using both approaches.
What is the solution?
Answer:
X =30/7
Step-by-step explanation:
The first way would be something like:
-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.
Therefore,
-7x+10-10=-20-10
Simplified, we get
-7x=-30
Remove the negative symbols
7x =30
x=30/7
Second example:
10=7x - 20
Add 20 to both sides.
10+20=7x-20+20
Simplified,
30=7x
x = 30/7
Answer:
What is the solution?
✔ x = 30/7
Step-by-step explanation:
You can take this equation into two approaches.
#1 subtracting 4x from both sides:
-3x+10=4x-20 (subtract 4x from each side)
-7x+10=-20 (then subtract 10 from each side)
-7x=-30 (then divide by -7 to get x by itself)
x=30/7
#2 Add 3x to both sides:
-3x+10=4x-20 (Add 3x to both sides)
10=7x-20 (then add 20 to each side)
30=7x (divide both sides by 7)
30/7=x
Either way you do it you will get x=30/7 as your answer.
A square of area 36 cm2 is cut to make two rectangles, A and B the ratio of A to area b is 2 : 1
Answer:
24 cm² and 12 cm²
Step-by-step explanation:
Sum the parts of the ratio, 2 + 1 = 3 parts
Divide the area by 3 to find the value of one part of the ratio.
36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus
2 parts = 2 × 12 = 24 cm²
area of A = 12 cm² and area of B = 24 cm²
Answer:
3:1
Step-by-step explanation:
Do not guess plz math question
Answer:
-12
Step-by-step explanation:
[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]
Hope this helps!
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
Answer:
y=2 when x=2
Step-by-step explanation:
3(2)=6
6+6y=18
6y=18-6
6y = 12
6y/6 = 12/6
y=2
Answer:
y=2 when x=2
Step-by-step explanation:
Did it on edge
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
i need help pls, i would appreciate it !!
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
