Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-1-0}{5-2}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{3}[/tex]Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box
Answer:
Perimeter: 30.4 cm
Area:57.76
Step-by-step explanation:
6cm+1.6cm=7.6cm
Perimeter:7.6x4
Area:7.6x7.6
Which equation represents the vertical line passing through (7,-3)?
А.X=-3
B. y=-3
C. x=7
D. y=7
On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
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2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1
Answer:
2p^2-p + 5/2
Step-by-step explanation:
Here, we want to use long division method
Please check attachment for the long division process
According to the long division, the answer is
2p^2-p + 5/2
To check the answer, we multiply the binomial by the result of the division
That will be;
(2p-1)(2p^2-p + 5/2)
= 4p^3-2p^2+5p-2p^2+p-5/2
= 4p^3-2p^2-2p^2+5p+p-5/2
= 4p^3-4p^2+ 6p - 5/2
we then conclude that our answer is correct
5
X
2
4
6
8
f(x)
7
11
15
19
Which of the following functions is represented
by the table above?
a. f(x) = 4x + 7
b. f(x) = 4x + 3
c. f(x) = 2x + 7
d. f(x) = 2x + 3
Answer:
d
Step-by-step explanation:
just substitute the numbers and if both sides equals, then its correct
40 is a rational number.
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
what is the area of the parallelogram shown?
please help!!!!
Answer
24 (x) 13= 312cm
Step-by-step explanation:
area of a parallelogram= area of a rectangle/ sqaure=
24 (x) 13= 312cm
(the 18 inches it there to confuse you some times)
A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that the LMN is similar to STU because the sides on the bigger triangle are spaced the same as the sides of the smaller triangle.
Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.
what is 2 + 2-(-3 x 10
pic a pic that will be best as my pfp
Answer:
Step-by-step explanation:
Combine Like Terms:
=2+2+3x^10
=(3x^10)+(2+2)
=3x^10+4
Answer:
34
Step-by-step explanation:
2+2+30 Simplify
34 add the numbers
Hope that helps
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
I will give brainliest!!!!
Answer: A, 3 B, 2 C, 6
Step-by-step explanation:
1.) You decide to order strands of LED lights for a party. Amazon charges
a flat fee of $7.00 to ship this item, whether you order two strands or
fifty strands. If each strand costs $4.50, and your total came to $56.50,
how many strands did you order?
Quick answer please
Answer:
11
Step-by-step explanation:
56.50-7=49.50
49.50divided by 4.50=11
Rewrite in simplest terms: 4(-6t – 3) - 10t
Step-by-step explanation:
4(-6t-3)-10t
-24t-12-10t
-12-24t-10t
-12-34t
Pls help as soon as possible
Answer: 161.6 seconds
Step-by-step explanation:
1. 8.216 + 3.652 = 11.868 (add together, this is for one car)
2. 11.868 x 42 = 161.6
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
help mee plzz will give brainliest
Answer:
Answer: X=12
Explanation: 180-72= 108. 108/9 = 12
Step-by-step explanation:
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
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Sophia scored 33 points in a basketball game. She scored four more two-point baskets than three-point baskets. Write a system of equations in standard form that models this situation.
How many three-point baskets did Sophia make?
please right step by step :)
Answer:
33=2(4)+3x
8 Three Points
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?
Answer:
2
Step-by-step explanation:
The common difference in an arithmetic sequence is the difference between any two terms
So, you could start by doing -3 + d = -1
-3 + d = -1
-3 + d +3 = -1 +3
d = 3 -1
d = 2
Now test it with other terms
-1 + d = 1
Substitute
-1 +2 = 1
2 -1 = 1
1 = 1
It works!!!
If you want you can try it with 1 and 3
1 + d = 3
1 + 2 = 3
3 = 3
I hope this helps!!!!
help pleaseeeeeeeeeeeeee
Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%. How much sales tax was Luke charged?
Luke charged an amount of $37.18 in sales tax which is determined by the evaluation of 6.25% of 595.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%.
⇒ 525 + 2×34.99 = 595
We have to determine the evaluation of 6.25% of 595.
⇒ 6.25% of 595
6.25% is expressed as 6.25/100 in fractional form
⇒ (6.25/100)(595)
6.25/100 is expressed as 0.0625 in decimal form
⇒ (0.0625 )(595)
Apply the multiplication operation, and we get
⇒ 37.18
Therefore, Luke charged an amount of $37.18 in sales tax.
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Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16
Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?
Answer:
5
Step-by-step explanation:
9-4=5
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
PLEASE HELP
ill raise points if needed
Evaluate the expression. (343)^-1/3
Answer:
1/7
Step-by-step explanation:
Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?
I NEED THE ANSWER ASAP!!!!
Answer:
H.
Step-by-step explanation: Best one out of the rest, I'm 75% sure it may be right just by memory.
1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km
Answer:
1407.43 would be your answer
Step-by-step explanation:
The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)