write the slope intercept form of the equation of th line trogh the given points. please
Answers
Solution
- The question would like us to write the equation of the line passing through the points (0, -2) and (5,5) in slope-intercept form.
- The slope-intercept form of a linear equation is given by:
\(y=mx+c\)- The formula for solving this question is given below:
\(\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where,} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the coordinates given} \end{gathered}\)- The coordinates given are (0, -2) and (5,5)
- Thus, we can solve the question as follows
\(\begin{gathered} x_1=0,y_1=-2 \\ x_2=5,y_2=5 \\ \\ \frac{y-(-2)}{x-0}=\frac{5-(-2)}{5-0} \\ \\ \frac{y+2}{x}=\frac{5+2}{5} \\ \\ \frac{y+2}{x}=\frac{7}{5} \\ \\ \text{ Multiply both sides by }x \\ \\ y+2=\frac{7x}{5} \\ \\ \text{Subtract 2 from both sides} \\ \\ y=\frac{7}{5}x-2 \\ \\ \text{This is in the form }y=mx+c,\text{ where,} \\ m=\frac{7}{5}\text{ and }c=-2 \end{gathered}\)Final Answer
\(y=\frac{7}{5}x-2\)Related Questions
Which group of these squares do NOT support the Pythagorean theorem?
Answers
group a because it is not a square
To solve the equation 6x + 3 = 9 for x, what operations must be
performed on both sides of the equation in order to isolate the variable
x?
Answers
Answer:
Subtraction, and then division.
Step-by-step explanation:
We would subtract 3 on each side to undo the '3', and then divide by 6 on both sides to isolate 'x'.
\(6x+3 = 9\\\\6x + 3 - 3 = 9 - 3\\\\ 6x = 6\\\\\frac{6x=6}{6}\\\\\boxed{x=1}\)
Hope this helps.
To solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
What is a linear equation?A linear equation in one variable has the standard form Px + Q = 0. In this equation, x is a variable, P is a coefficient, and Q is constant.
How to solve this problem?Given that 6x + 3 = 9.
First, we have to separate variable and constants. So, we have to subtract 3 from both sides.
6x + 3 - 3 = 9 - 3
i.e. 6x = 6
Now, to solve this equation, we use division.
x = 6/6 = 1
i.e. x = 1
Therefore, to solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
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While rolling, a wheel with a diameter of 7/2 ft makes 112 revolutions. Find the distance that is traveled by the wheel. Use 22/7 for π.
Answers
Answer:
1232 is the answer
Step-by-step explanation:
distance= 22/7 ×7/2 ×112
=1232
Answer:
1232 ft.
Step-by-step explanation:
Distance travelled = circumference of the wheel * number of revolutions
= 7/2 * 22/7 * 112
= 22/2 + 112
= 11 * 112
= 1232 ft.
Help me pleaseee!,jejejejejejeke
Answers
Good luck on your test .
If you want to read one of my story come and enjoy! The title of my story is "The First time in a Haunted House" By: Me and this story was made in 2019. Once upon time There was two girls and there names were Angelica and Sienna and they live in a modern house and both of the girls are sisters.
One Halloween night Angelica and Sienna was tricking and treating and they saw a house with webs and holes in the outside of the house
"Hey Angelica do you see that house" said Sienna
"That one? The red house with stripes?" said Angelica
"No The Dark Gray House with holes and webs" said Sienna
"Oh yeah i see it" said Angelica
"Let's go inside!" said Angelica
"Ok, Let's Go!" said Sienna
They went inside and they found something strange
"Sienna What's that?!" said Angelica
"I don't know but let's get out of here!" said Sienna
"Yeah" said Angelica
They went to the door but it was lock!
"Um the door is lock what do we do now?!" said Sienna
"Um let's call our friends" said Angelica
"Ok" said Sienna
They called there friends but...
TO BE CONTINUED
Do you want a part two? Hope you like it!
Answers
Answer:
Yessss part 2 but i wanna know why they immeiately went in the house?
Step-by-step explanation:
Answer:
Woah that was so good! You made it so interesting great job!!
Step-by-step explanation:
:)
Solve 0.5(-2+ 4d) - 2d=-13 for d.
O Infinite solutions
O No solution
O d=-11
O d = 1.375
Answers
Answer:
(b) No solution
Step-by-step explanation:
You want the solution to 0.5(-2+ 4d) - 2d = -13.
SimplifiedEliminating the parentheses using the distributive property, we have ...
-1 +2d -2d = -13
Collecting terms gives ...
-1 = -13 . . . . . false
No value of d will make this true. There is No Solution.
How do you write equations in Point-slope form?
Answers
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
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Which expression has the greatest value 49.2,49-16,25+16,25.3
Answers
Write 4.25 as a mixed number and as an improper fraction. Write your answers in simplest form.
Answers
mixed number: 4 1/4
improper fraction: 17/4
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
Answers
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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Help pls , I’m lost
Answers
25 POINTSSSS PLEASE HELP ME I NEED HELP!!! PLZZZ
Which exponential function has the greatest average rate of change over the interval [0, 2]?
Answers
Answer:
I think its A
Step-by-step explanation:
36% rounded to the nearest 10th pls help me
Answers
Answer: 40%
Step-by-step explanation:The rule of rounding is 4 or lower, round down. 5 or higher, round up. Therefore, because the tenths place has a 6 at the end, the percentage would round to 40.
Consider the function attached below
Answers
Answer:
2
Step-by-step explanation:
Hello,
\(x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{2f^{-1}(x)}+5\\<=>\sqrt{2f^{-1}(x)} =x-5\\<=>2f^{-1}(x)=(x-5)^2\\<=>f^{-1}(x)=\dfrac{(x-5)^2}{2}\)
now let's replace x by 7 it comes
\(f^{-1}(7)=\dfrac{(7-5)^2}{2}=\dfrac{2^2}{2}=2\)
hope this helps
A little confused here!
Hey guys. I just need someone's help to clarify things with me.
As I was doing the equations, I got to:
x^-1
-----
x^13
I moved the x^-1 down to x^13 so they'd subtract. But when I did, x^-1 became positive.
So it became x^13 times x^1
Radical Rule: a^n x a^m is pretty much a^n+m
So my answer was 14.
How did x^-1 become positive in this case?
Answers
Step-by-step explanation:
Given \(\frac{x*x^{-2} }{x^{13}}\)
= \(\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}\)
According to the Negative Exponent Rule, \(a^{-n} = \frac{1}{a^{n}}\)
Therefore, \(\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}\)
In other words, \(x^{-1}\) became positive because of the Negative Exponent Rule. Once you bring \(x^{-1}\) down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, \(a^{m}a^{n} = a^{m+n}\).
Please mark my answers as the Brainliest if you find my explanations helpful :)
Determine weather the following is real or complex
i^6-122-7i^2
Answers
Answer:
Real
Step-by-step explanation:
i^6-122-7i^2
(i^2)^3-122-7i^2
(-1)^3-122-7×(-1)
-1-122+7
-123+7
-116
So the final answer is -116
Six times the sum of a number and 30 is greater than 27
Answers
Inequality: 6(x+30) > 27
solve : 6(x+30) > 27
6x + 180 > 27
-180 -180
6x > -153
Divide by 6
x > -25.5
At least 40% of all arsonists are under 21 years old
Answers
Answer:
Step-by-step explanation: yes, we belive that they start young with pyromania. They may see as something powerful
3.) The volume of a cylinder, V(h), is given by the area of the base times the height, h. The base of the cylinder shown below is 5 inches squared.
Part A: Write the function, V(h), that represents the volume of the cylinder.
Part B: Find V(3)
Part C: What does V(3) represent?
Answers
Step-by-step explanation:
The volume of a cylinder is given by :
\(V=\pi r^2 h\) ...(1)
r is radius and h is height of the cylinder
The diameter of a cylinder = 5 inches
Radius = 5/2 = 2.5 inches
Part A :
Put r = 2.5 inch in equation (1)
\(V=\pi (2.5)^2 h\\\\=6.25\pi h\ \text{inches}^3\) .....(2)
Part B :
Put h = 3 in equation (2) as follows :
\(V(3)=6.25\pi \times 3\\\\=18.75\pi \text{inches}^3\)
Part C:
V(3) represents the volume of the cylinder when its height is 3 inches.
Hence, this is the required solution.
Angel Corporation produces calculators selling for $25.99. Its unit cost is $18.95. Assuming a fixed cost of $80,960, what is the breakeven point in units?
Answers
The breakeven point is 11,500, meaning that if the sell that number of units, the profit will be zero.
How to get the breakeven point?
Here we know that the unit price is $25.99, so if they sell x units, the revenue is
R(x) = $25.99*x
And the cost per unit is $18.95, plus a fixed cost of $80,960
Then the cost of x units is:
C(x) = $80,960 + $18.95*x
The breakeven point is the value of x such that the cost is equal to the revenue, so we need to solve:
$25.99*x = $80,960 + $18.95*x
$25.99*x - $18.95*x = $80,960
$7.04*x = $80,960
x = $80,960/%7.04 = 11,500
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can someone help me do 1/3 divided by 4 please?
Answers
The answer is
1/12
Explanation:
In order to divide
1/3 by 4
1st: you must find the reciprocal of the
denominator, which is
1/4
2nd: Then you multiply
1/3
by the reciprocal
So
1/3 divided by 4
will now be
1/3 x 1/4= 1/12
First you have to find the reciprocal of the denominator which is 1/4 then you multiply 1/3 by the reciprocal
So instead of it being
1/3
—-
4
It is 1/3 x 1/4=1/12
SOMEONE PLS HELP ME
Answers
Answer:
4
Step-by-step explanation:
hope this helps
Answer:
The slope is 2
Step-by-step explanation:
its 6/3 and if you simplify that its 2
Please help the one selected is wrong
Answers
Answer:
bt? I don't know for sure
21(x + 1) - 6x = 15x + 21
Answers
15x + 21 = 15x + 21
0
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
which could be the function graphed below ??
Answers
Answer:
D \(\sqrt{x+4}\)
Step-by-step explanation:
Tell whether the triangles are congruent. Explain your reasoning.
Answers
Answer:
Yes because there all the same shape the size dosent effect the shape of it.
Step-by-step explanation:
Answer:
101. ΔABC congruent to ΔDEF
102. ΔJKL not congruent to ΔMNO
Step-by-step explanation:
Q 101
Triangle ABC has 3 sides equal to each of the three sides of DEF
The corresponding two angles of ABC and DEF are also equal
So the third angle of ABC ∠B must be equal to the third angle of DEF so we have three sides equal, three angles equal, hence congruent
ΔABC congruent to ΔDEF
Q 102
We have JL = MP = 1.9
m∠J = m∠M = 24°
The other two angles are not correspondingly equal
This only makes one side equal and one angle equal. Not sufficient to make it congruent
Hence ΔJKL not congruent to ΔMNO
Use synthetic division to find the result when x^4-10x^2 - 13x-50 is divided by X+ 5.
Answers
Answer: it’s x^3-5x^2+15x-88+390/x+5!
Step-by-step explanation:
A bicycle has a listed price of 887.95 before tax. If the sales tax rate is 9 .75% , find the total cost of the bicycle with sales tax included.
Answers
How to solve: To solve this you’d take the net price which is $887.95 and add it with the sells tax which is 9.75%.
What is the decimal equivalent of 1/18
Answers
The decimal equivalent of 1/18 is 0.125
Hope this helps!!!
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Answers
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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