The question gives us two points, (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (5 -(-3)) ÷ (-9 -(-3))
= (5 + 3) ÷ (-9 + 3)
= - ⁴/₃
Checking my answer visually:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.
⇒ y - (-3) = - ⁴/₃ (x - (-3) [ using the point (-3, -3)]
y + 3 = - ⁴/₃ (x + 3)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
What is the value of(-5) to the fourth power
Answer:
625
Step-by-step explanation:
[tex](-5)^4[/tex] [tex]-5 * -5 * -5 * -5[/tex] [tex]25* -5 * -5[/tex] [tex]-125 * -5[/tex] [tex]625[/tex]625 I believe. If u do -5(-5) that’s 25 bc there’s four -5’s you will be left with 25(25) with is 625
I need help plz..plzz
Answer:
hope it helps ...........
Explain why:
expressing 0.78 as a fraction is (78/100).
Answer:
Because in 0.78 78 is in the hundreths place so you would place 78/100
Step-by-step explanation:
Solve for h.
19 =
h
4
+ 16
h =
Answer:
h=3/4
Step-by-step explanation:
19=h4+16
19-16=h4+16-16
3=h4
3/4=h4/4
3/4=h
h=3/4
Answer:
h = 3/4 or as a decimal it would be 0.75
Step-by-step explanation:
19 = h × 4 + 16
Reorder the terms
Use the communative property to reorder the terms
19 = 4h + 16
19 = 4h + 16
Move the terms
Move the variable to the left - hand side and change its side
19 - 4h = 16
Move the constant to the right - hand side and change its sign
-4h = 16 - 19
-4h = 16 - 19
Calculate
calculate the difference of 16 minus 19
-4h = -3
-4h = -3
Divide both sides of the eqaution by -4
Therefore your answer is h = 3/4 or if you want a decimal simplify 3/4 by dividing 3 and 4, which gives you 0.75
this doesn’t make any sense I swear she didn’t teach us this and I’m so confused
please explain how to use cancellation method with examples. I'm really confused...
Answer:
Cancellation it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.
Some textbooks refer to the elimination method as the addition method or the method of linear combination.
This is because we are going to combine two equations with addition!
Step 1
First, we align each equation so that like variables are organized into columns.
Step 2
Second, we eliminate a variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.
Step 3
Thirdly, we substitute this value back into one of the original equations and solve for the other variable.
Example of how to apply the elimination method for solving systems of equations is attached.
A duck dives underwater and its path is described by the quadratic function y = 2x^2 - 4x, where y represents the position of the duck in meters and x represents the time in seconds. How long was the duck underwater?
Solving the quadratic equation, it is found that the duck was underwater for two seconds.
The path of the duck after x seconds is modeled by:
[tex]y = 2x^2 - 4x[/tex]
It is a concave up parabola, thus, the negative values of y, when he is underwater, are between the roots.
To find the roots:
[tex]y = 0[/tex]
[tex]2x^2 - 4x = 0[/tex]
[tex]2x(x - 2) = 0[/tex]
[tex]2x = 0 \rightarrow x = 0[/tex]
[tex]x - 2 = 0 \rightarrow x = 2[/tex]
2 - 0 = 2, thus, the duck was underwater for two seconds.
A similar problem is given at https://brainly.com/question/25181401
Please solve the math problem... I will mark you brainliest
Answer:
Y = 58
X = 66
Step-by-step explanation:
So the markers mean that those sides of the triangle are congruent. Because of this, we know that the angles opposite from those sides are equal as well.
In the big triangle, Y will be equal to the empty angle. You can then use:
180 = 64 + 2*Y
Then, solving for Y, you get:
Y = (180-64)/2
Y = 58
You can use the same idea for the smaller triangle. The empty angle will be the same as the angle marked as 57.
180 = 57*2 + X
Then, solving for X, you get:
X = 180 - 57*2
X = 66
Complete the following conversions.
i) 1 mm = ?metres
Answer:
0.001 m
Step-by-step explanation:
1 m = 1000 mm
1 mm
= 1 / 1000
= 0.001 m
how can i solve these simultaneous equation 11x+11y=1001 and 10x+y=10
Answer:
[tex]10x + y = 10 (1)\\ 11x + 11y = 1001(2) \\ from \: equation \:(1) \: y = 10 - 10x \\ 11x + 11(10 - 10x) = 1001 \\ 11x + 110 - 110x = 1001 \\ 11x - 110x = 1001 - 110 \\ - 99x = 891 \\ \frac{ - 99x}{ - 99} = \frac{891}{ - 99} \\ x = - 9 \\ y = 10 - 10x \\ y = 10 - 10( - 9) \\ y= 10 + 90 \\ y = 100[/tex]
Step-by-step explanation:
Hope that this is helpful.
Have a great day.
Pls I need to hand this up soon! Thanks
Answer:
405 fishballs and 405 meatballs
Step-by-step explanation:
Please see the attached pictures for the full solution.
Given the vertex (2, -1 )and the point(0,7), write the vertex form equation of the
quadratic function
Pls help!!!
Answer:
f(x) = 2(x - 2)² - 1
Step-by-step explanation:
Given the vertex, (2, -1) and the point, (0, 7), we can plug these values into the vertex form of the quadratic function:
f(x) = a(x - h)² + h
where:
vertex = (h, k)
a = determines whether the graph opens up or down, and the wideness or narrowness of the parabola.
h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
We could substitute the given values into the vertex form, and solve for the value of "a":
f(x) = a(x - h)² + h
7 = a(0 - 2)² - 1
7 = a(-2)² - 1
7 = a(4) - 1
Add 1 to both sides:
7 + 1 = a(4) - 1 + 1
8 = 4a
Divide both sides by 4 to solve for a:
8/4 = 4a/4
2 = a
Since a = 2, and the vertex = (2, -1) then we could plug this value into the given function:
f(x) = 2(x - 2)² -1
Attached is a screenshot of the graph where it contains the given points.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
who is your favorite character in family guy?
All are favourite for me ....
Can anyone help please
Answer:
x=83
Step-by-step explanation:
Write The following sum as product 18+12=
Answer:
30
Step-by-step explanation:
i think it is the or you wrong
7/√10-√3
plss faast very urgent
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the solution :
[tex] \dfrac{7}{ \sqrt{10 } - \sqrt{ 3} } [/tex][tex] \dfrac{7}{ \sqrt{10} - \sqrt{ 3} } \times \dfrac{ \sqrt{10} + \sqrt{3} }{ \sqrt{10} + \sqrt{3} } [/tex][tex] \dfrac{7( \sqrt{10} + \sqrt{3} )}{( \sqrt{ 10}) {}^{2} - ( \sqrt{ {3}})^{2} } [/tex][tex] \dfrac{7 (\sqrt{10} + \sqrt{3}) }{10 - 3} [/tex][tex] \dfrac{7( \sqrt{10} + \sqrt{3} )}{7} [/tex][tex] \sqrt{10} + \sqrt{3} [/tex]What is the Domain and Range of the following Graph?
Answer:
This is a square function with its maximum at (-3, 2).
The domain is:
x ∈ [-3, + ∞)The range is:
y ∈ (- ∞, 2]if u know any of these please let me know
number nine is A :) i hope that goes well ! :)
△ABC ~ △ADF.
What is the length of side AC?
HELP.....................
Let me first ask this :
how do u find the midnumber of 1 and 3 ?
( 1 + 3 ) ÷ 2 =
4 ÷ 2 =
2
_________________________________
It is the exact way we do to find the midpoint of a line ; have a look :
The midpoint of AB is P thus :
( Point A + Point B ) ÷ 2 = Point P
Suppose that we have point B as ( x , y ) then :
[ ( 2 , 3 ) + ( x , y ) ] ÷ 2 = ( 6 , - 1 )
Now we add the same components of points A and B together, that is, we add the first component A to the first component B and replace the first component, and so we add the second component A to the second component B. And replace the second component :
[ ( 2 + x , 3 + y ) ] ÷ 2 = ( 6 , - 1 )
( 2 + x/2 , 3 + y/2 ) = ( 6 , - 1 )
Well now we have a draw so the first components of both sides of the draw must be equal Also, the second components of the two sides of the equation must be equal , thus :
2 + x/2 = 6
Multiply both sides by 2
2 × ( 2 + x )/2 = 2 × 6
2 + x = 12
Subtract both sides 2
2 - 2 + x = 12 - 2
x = 10 &3 + y/2 = - 1
Multiply both sides by 2
2 × ( 3 + y )/2 = 2 × ( - 1 )
3 + y = - 2
Subtract both sides 3
3 - 3 + y = - 2 - 3
y = - 5________________________________
And finally, after all the hardship and misery, we realized that
B = ( 10 , - 5 )Which mean Option C is the correct answer.
And we're done...
If a number is divisible by 2 and by 3, what other number must it be divisible by?
Answer:
no
Step-by-step explanation:
L bozo
The line segment, AB has a point C as its midpoint. If A is at (2,2) and C is at (5,4) what are the coordinates of the endpoint B
A:(-1,0)
B:(3.5,3)
C:(5,4)
D:(8,6)
Answer:
( 8 , 6 )
Step-by-step explanation:
A = ( 2 , 2 ) and C = ( 5 , 4 )
→ Form an equation
[tex]\frac{2+x}{2} =5[/tex] and [tex]\frac{2+y}{2}=4[/tex]
→ Now solve them
2 + x = 10 and 2 + y = 6
→ Simply find the values
x = 8 and y = 6
SOLUTION :
All you need to apply is the formula of Midpoint i.e [tex] \sf{ \bold{( \frac{x_{1} + x_{2}}{2} \: , \frac{y_{1} + y_{2}}{2} )}}[/tex] Plug the known values :[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]
Equating corresponding values :[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]
[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]
[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]
[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]
Value of x = 8[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]
[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]
Value of y = 6[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]
:) Hope I helped! Let me know if you have any questions regarding my answer! ~
Can someone help Find the value of f(-8)?
Answer:
Step-by-step explanation:
When y =f(-8) the answer is y = -2
PLEASE HELP MEEE!A MILLION THANKS IF YOU ANSWER ME CORRECTLY!PLEASE NO LINKS!
Answer: Christian bought 256 fluid ounces of juice. I don't know about the unit rate.
Step-by-step explanation:
Answer:
307 fl oz
Step-by-step explanation:
Nadia drew a square in her notebook Each side measured 2.5 centimeters
Answer:
The perimeter of the square is 10 cm.
The area of the square is 6.25 cm.
Step-by-step explanation:
To find perimeter, add all the sides.
2.5 + 2.5 + 2.5 + 2.5 = 10
To find area, multiply the length by the width. Since Nadia drew a square, all the sides will have the same measurement (2.5 cm, in this case). So, simply multiply 2.5 by 2.5, knowing that the length and width of the square are the same size.
2.5 × 2.5 = 6.25
The area of Square is 6.25 cm² and Perimeter of Square is 10 cm.
what is Area and Perimeter of Square?The Area of Square is the product if its side
i.e., Area of square = side x side
and, perimeter of square = 4 x side
Given:
Side of Square= 2.5 cm
then , area of Square= side x side
= 2.5 x 2.5
= 6.25 cm²
and, Perimeter of Square= 4 x side
= 4 x 2.5
= 10 cm
Learn more about Area of square here:
https://brainly.com/question/1658516
#SPJ5
A triangle has the following side lengths: 6ft, 8ft, and 10ft. Is this a right triangle?
How did you know that the triangle is or is not a right triangle?
Answer:
yes, it is a right triangle
Step-by-step explanation:
it follows the pythagorean theorem
if you were to plug in the numbers, it would work
a^2 + b^2 = c^2
6^2 + 8^2 = 10^2
36 + 64 = 100
hope this helps :)
Hi please I need some help
Answer:
12
Step-by-step explanation:
because 20÷1/4=5
so 5 ounces
and then the 3 ounces for yourself so 8 ounces taken away
20 - 8 = 1212 ounces leftGIVING 35 POINTS PLEASE i REALLY NEED HELP WITH THIS PROBLEM PLEASE!!!!!
what is the result of dividing x^3-2x^2-31x-28 by x-7?
A)x^2+5x-4
B)x^2-9x-4
C)x^2-9x+4
D)x^2+5x+4
my man your answer is b
srry if im wrong
Mr. La Fleur pays $130 to rent a car for a week. He also pays $5 for every 100 miles that he drives. Write an equation in slope intercept form that shows the relationship between the total cost of renting the car(y) and the number of miles that are driven (x).
Step-by-step explanation:
y+0.05x
0.05 because
5$ for 100
5$/100=0.05(for a single mile)
Which of the following situations are equal to 90%? Select all that apply.
A) 18 out of 24
B) 18 out of 20
C) 36 out of 40
D) 54 out of 60
E) 81 out of 90