Simplify. Use the distributive
property and combining like terms to
simplify each expression.
7. 5x + 2(x – 3),
Answer:
7x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x + 2(x - 3)
Step 2: Simplify
Distribute 2: 5x + 2x - 6Combine like terms: 7x - 6Combining like terms is a process where you combine the terms with the same variable and/or exponent.
Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.
Now, what is the distributive property?
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:
[tex]\sf{a(b+c)=ab+ac}[/tex]
Here, a got multiplied by b and c.
Similarly, we combine the terms:
[tex]\sf{5x+2(x-3)}[/tex]
Simplify:
[tex]\sf{5x+2x-6}[/tex]
Combine like terms:
[tex]\sf{7x-6}[/tex]
Hence, the simplified answer is 7x - 6.
(y - 4) (5y + 6) = 0
Find the solutions
Answer:
Y=4,-5/6
Step-by-step explanation:
Answer:
1. y=4
2. y= -6/5
Step-by-step explanation:
Plz help me plzzzz!!!!
Answer:
Definition of equilateral triangle
Step-by-step explanation:
All sides of equilateral triangles are equal.
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Complete Question:
The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
Answer:
[tex]y = \frac{1}{3}x[/tex]
Step-by-step explanation:
From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]
First, we calculate the slope of the above points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
[tex]m = \frac{1 - 4}{3 - 2}[/tex]
[tex]m = \frac{-3}{1}[/tex]
[tex]m = -3[/tex]
Also; from the question, we understand that the line segment is perpendicular to the above points.
This slope (m2) of the line segment is calculated as:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute -3 for m
[tex]m_2 = -\frac{1}{-3}[/tex]
[tex]m_2 = \frac{1}{3}[/tex]
Lastly, we calculate the equation of the line using:
[tex]y - y_1 = m_2(x - x_1)[/tex]
The line segment has a midpoint at (3, 1)
So:
[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]
Open bracket
[tex]y - 1 = \frac{1}{3}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]
[tex]y = \frac{1}{3}x[/tex]
Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]
Answer:
A. y = One-thirdx
Step-by-step explanation:
2020 Edge
find the ratio of 5m to 11m in simple ways
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!
As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].
Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].
Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!
f(x)=5x−3 evaluate the function
Which statement about 272° is correct?
A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0
Answer:
tan 272 < 0 is the correct answer
Step-by-step explanation:
Firstly, we need to understand the quadrant in which we have the angle
Mathematically, angle 272 is on the 4th quadrant
On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative
Hence, we have that tan 272 < 0
is the correct answer
Answer: A. tan 272° < 0
Step-by-step explanation:
Ap3x Approved
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
16
30
Answer:
the answer is 34.
Step-by-step explanation:
the Phythagorean theorem is a^2 + b^2 = c^2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
What is the sum of the interior angles of a 14 sided polygon?
Answer:
2160 degrees
Step-by-step explanation:
The general equation to find the sum of interior angles in a polygon is;
[tex](n - 2) * 180[/tex]
Where "n" is the sides of the polygon.
Substitute in 14 for "n"
( 14 - 2 ) * 180
Solve;
( 14 - 2 ) * 180
12 * 180
2160
Write a logarithmic function that represents the following transformations applied to the parent function: Reflection over the y-axis, a vertical stretch by a factor of (5/3) a transformation right 2 units, and a transformation down 6 units.
Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 55 degrees
Step-by-step explanation:
180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.
Answer:55
Step-by-step explanation:
Steps below
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 474 inches?
If you have two 6-sided dice, each with the numbers 1-6 on a side, what is the theoretical probability of rolling 3 and 3 when both die are rolled together?
Answer:
The probability is 1/36
Step-by-step explanation:
Since we have two dies rolled together, the sample space is 36
What we mean by the sample space is the number of total possible results
So the total number of results that we can get is 36
Out of all our result, 3,3 can only appear once
so the probability of getting 3,3 on both dice is 1/36
Answer:
1/36
Step-by-step explanation:
solve for x. x2-3[x-2]-4x=
7. Where is most of the Earth’s supply of water found?
A. in rivers
B. in lakes
C. in glaciers and icecaps
D. in the ground
what is the answer to 7x8(8/2)
Answer:
224
Step-by-step explanation:
1. first divide 8/2 in the parentheses which will give you 4
2. Then multiply 4 to 8 which will give you 32
3. finally multiply 32 to 7 which will give you an answer of 224
Help me please I’d really appreciate it right now .
Answer:
sales tax is $0.6
total cost is $20.60
Step-by-step explanation:
20*0.03=0.6
20*1.03=20.6
write an equation of the line that passes through the given points. (3, 1), (0, 10)
Answer:
y = -3x + 10
Step-by-step explanation:
The image below shows proof that the equation y = -3x + 10 is the line that passes through the points (3, 1) and (0, 10).
Hope this helps! :)
Step-by-step explanation:
Make a graph and mark the points take the first number of each point and multiply them and your answer is three x.
Hey honey text me back please?
What is the value of the expression below when z=3 and w =2
10z+ 5w
Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.
A. 29.4
B. -16
C. 23 2/5
D. 30.6
Answer:
A. 29.4
Step-by-step explanation:
5(3 1/5 + 2 4/5) - 0.6
5(6) - 0.6 parenthesis
30 - 0.6 multiplication
29.4 subtraction
Write down the number of lines of symmetry of this hexagon
Answer:
a) 1
b) 5
c) isosceles
Step-by-step explanation:
a) 1
b) 5
c) isosceles
Thank you
Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?
Answer:
Katherine will pay $55.24.
Step-by-step explanation:
32.78 + 27.24 + 5.22
= 65.24
65.24 - 10
= 55.24
Katherine will pay $55.24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)
Answer:
y= x + 5
Step-by-step explanation:
i took the test
What is the area???????
Answer: 56mm
Step-by-step explanation:
A=(a+b)/2 x h
A=(4+12)/2 x 7
A=16/2 x 7
A=8 x 7
A= 56mm
Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of side RV The length of side ST
Answer:
pentagon
is 14 units
cannot be determined
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of - Brainly.com
yw thanks for the points have a nice day :}
The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon
Answer:
the weight of that object on earth is 90N
then on moon it will be 90/6 = 15N
AMONG US CODE: BZPINF
find the missing side length
Answer:
The length of the missing side is
[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]
Step-by-step explanation:
You could do Pythagorean theorem which is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]
a reindeer leaves the north pole flying east at 20mph. Another reindeer leaves the north pole at the same time flying west at 15mph. How long will it take them to be 700miles apart?
Answer: well if they leave at the same time and one leaves 5mph faster than the other then...
Step-by-step explanation: ... it will take 15 hours for them to be 700 miles apart
Find the slope and the y-intercept of the graph of y=4x−5.
Hi!
The equation we're working with is in slope-intercept form:
[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]
Where:
[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]
[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]
Cheers!I hope that helped, have a wonderful rest of your day! :)
The slope of the line is 4 and the y-intercept of the line is -5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,
y = mx + c
y = 4x - 5
Slope m = 4
Y-intercept = -5
Therefore, the slope of the line is 4 and the y-intercept of the line is -5.
To know more about an equation of the line follow
https://brainly.com/question/18831322
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