Start with the point-slope formula, shown below in bold.
Y - y1 = m(x - x1)Our point which in this case is (6, 8) represents (x1, y1) in our formula.
~Substitute
Y - 8 = -2(x - 6)
I will be writing this equation in standard form.
First distribute the -2 through the parentheses.
This gives us y - 8 = -2x + 12.
Next we would move the -8 to the right side of the equation
by adding 8 to both sides to get y = -2x + 20.
Finally we move our x term to the left side of the equation
by adding 2x to both sides and our answer is 2x + y = 20.
Solve 3x - 3 =27 - 2x pls answer
Answer:
[tex]\fbox{\begin{minipage}{3em}x = 6\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]3x - 3 = 27 - 2x[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from + to - or - to +), then calculate [tex]x[/tex]
Step 2: Perform the calculation:
[tex]3x -3 = 27 - 2x[/tex]
Moving components:
<=> [tex]3x + 2x = 27 + 3[/tex]
Adding up components:
<=> [tex]5x = 30[/tex]
Dividing both sides by 5 (coefficient of component containing [tex]x[/tex]:
<=> [tex]\frac{5}{5} x = \frac{30}{5}[/tex]
Simplifying to work out [tex]x[/tex]:
<=>[tex]x = 6[/tex]
Hope this helps!
:)
Answer:
x = 6
Step-by-step explanation:
3x - 3= 27 - 2x
First we put all the x terms to on side, making it 3x + 2x - 3= 27.
Remeber that when we move a term to the other side of the equals sign (=), we change its sign to be the opposite of what it currently is.
Then, we move all the numberics to the other side, so we derieve 3x + 2x = 27 +3. Again, the sign changes when we move it across.
What is left to do is add up the quantities. So 3x + 2x = 5x and 27 +3 = 30.
We are left with 5x = 30. If 5 x's is 30, how much is one? Sinply divide it to get the answer of 30 / 5 which is six!
To make sure the answer is correct substituite 6 in the equation as x and see if its accurate: 3(6) -3 = 7 - 2 (6). And it is!
So x is equal to six.
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
The picture represents a final step used in...
A) constructing a 2-inch segment
B) constructing angle bisectors
C) constructing a 3-inch segment
D) constructing congruent segments
l
P.-----------------------------------.Q l
R.------------------------------------------.l S
l
l
Answer:
DStep-by-step explanation:
if the picture represents a final step you can just look at the picture and see if it has a answerThe solution is Option D.
The figure represents a construction of congruent segments
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first line segment be represented as P
Let the second line segment be represented as Q
Now , the equation will be
The length of the line segment P is congruent to the line segment Q
Therefore , the line segments P and Q are congruent to each other
Hence , the figure represents a construction of congruent segments
To learn more about congruent triangles click :
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Frank decided to lease a $20,000 car for three years instead of buying the car and financing it with a loan. At the end of three
years, the car was worth $11,000. How much did Frank receive when he returned the car to the dealership?
A. He received $0 and will have to cover the cost of any damages that have been done to the car.
B. He received $11,000, less the cost of any damages that have been done to the car.
C. He received whatever amount of money the dealer was able to get selling the car as a used car.
D. He received half of what the dealer got from the sale of the used car.
Answer:
a
Step-by-step explanation:
Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2
Answer:
A
Step-by-step explanation:
What is the average rate of change from
x = 10 to x = 15?
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
What is the difference? Negative 6 minus (11) –17
Answer:
-34
Step-by-step explanation:
-6-(11)-17
-6-11-17
-34
Which of the following is most likely the next step in the series?
Answer:
B
Step-by-step explanation:
It adds one row on the bottom and one row on the right
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
???? Answer please anyone
Answer:
The answer is 4 3/4
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3
Step-by-step explanation:
Or 3/1
Cheers! :)
PS: GOT AN QUESTION WORTH 10 POINTS ANYONE INTERESTED?
Presenting a graph with a skewed scale would be a: A measurement error. B sampling error. C interpretation error. D data collection error. PLEASEEE HELPPP!!!!!!!!!!!
Answer:
C. interpretation error
Step-by-step explanation:
Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.
Answer:
The answer is C.
Step-by-step explanation:
it just is.
Someone help me with this like right now like right now
Answer:
C
Step-by-step explanation:
M = K
N = L
M + K + N + L = 360
Answer:
C
Step-by-step explanation:
Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
the answer is graph 1
Help please picture attached !!! Factoring expression
Answer:
(x+y)^3
Step-by-step explanation:
125 is the third power of five and 216 is the third power of 6
so we can rewrite the expression as (x+y)^3
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
To solve more questions on finding unknowns, visit the link below -
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What’s the area of this triangle??
Answer:
6
Step-by-step explanation:
In a right triangle the legs are base and height
area = (1/2) base × height = (1/2) 3 (4) = 6
Answer: 6 square units
1. Which point represents a value that is less
than -1 and greater than -5?
Which of the following is a correct representation of the polynomial F(x)=x^4-5x^2+4 as a product of linear factors
Answer:
C
Step-by-step explanation:
how to find the correct one?
just see on the x² constant number. it's -5 so
from ABCD the only option give -5 is C
A. (-2)(-2) + (-1)(-1) = 5
B. (-2)(-2) + (1)(1) = 5
C. (2)(-2) + (-1)(1) = -5
D. (-2)(2) + (-1)(-1) = -3
Part 2. identify the x intercepts for
y = 4(x-5)^2+8
Answer:
No solution
Step-by-step explanation:
This function places the parabola above the x axis, so there are no x intercepts
Answer:
B - No solution
Step-by-step explanation:
This equation does not have a x-intercept, making this an equation with no solution.
Draw the line with equation y=-12x+1
Answer:
See below
Step-by-step explanation:
I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!
Find the range of values for which
Answer:
I don't understand the question
Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest
Answer: 2.4%
Step-by-step explanation:
SI = prt / 100
96 = ( 800 x r x 5) / 100
96 = 40r
r = 96 / 40 = 2.4%
A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5 by which he sold the mixture at 9.80 shillings per kg . What was his percentage profit?
Answer:
His percentage profit is 12%
Step-by-step explanation:
Here, we want to calculate the percentage profit made by the business man.
Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.
Now let’s see how much these costs
For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8
Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings
For the low quality, its part will be 5/(3 + 5) = 5/8
since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings
Total cost price = 3.75 + 5 = 8.75 shillings
% profit = (selling price - cost price)/cost price * 100%
selling price here is 9.8 shillings per kg
while cost price is 8.75 shillings per kg
% profit = (9.8-8.75)/8.75 * 100%
= 1.05/8.75 * 100% = 0.12 * 100% = 12%
Please help! Correct answer only!
Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.
If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability = 0.2603
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]
Solution; Probability = ( About ) 0.2603
At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?
Answer:
0.15
Step-by-step explanation:
15% = 0.15
__________________________________
Solution,
15%
=15/100
=0.15
So, 0.15 decimal is equivalent to 15%
Hope this helps
Good luck on your assignment
_______________________________
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?
Answer:
-54
Step-by-step explanation:
Please write this sequence in the following form: a(n) = (-2)*3^(n- 1)
Then a(1) = -2*3^0 = -2
a(2) = -2*3^(2 - 1) = -6
a(3) = -2*3^(3 - 1) = -2*9 = -18
a(4) = -2*3^(4-1) = -2*27 = -54
Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working
To find the better deal divide the price by the weight of each and compare:
1.49 / 120 = 0.012 per gram
0.89/ 100 = 0.0089 per gram
Buying loose is the better deal because the price per gram is smaller
Anyone who can do this will be goated. B is the midpoint of segment AC Find the value of x. M is the midpoint of segment VW. Find the value of X
Answer:
The answer the to first image is X=2. The answer to the second image is X=4.
Step-by-step explanation:
What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)
Answer:
20
Step-by-step explanation:
20 is your answer