Answer:
[tex]9x+5y=-20[/tex]
Step-by-step explanation:
[tex]y = \frac{5}{9} x - 4[/tex]
compare with that y=mx+c
where m=slope .
So after comparing we get m=[tex]\frac{5}{9}[/tex]
As the lines are perpendicular
[tex]m1*m2=\ -1[/tex]
[tex]m2 \ =\ \frac{-1}{m1}[/tex]
therefore m2=[tex]\frac{-9}{5}[/tex]
Now from the equation
[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]
[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]
Therefore equation is
[tex]9x+5y=-20[/tex]
Simplify the following expression. (x^0*y^2/3*z−2)^3/2 / (x^2*z^1/2)^−6
Answer:
x^12 * z^3 (zy^2/3 - 2) ^3/2
x to the power of 12 times z cubed (zy to the power of two thirds minus 2) exponent three halves
Step-by-step explanation:
Make m the subject of the formula
check the photo and if u feel I made any mistakes pls do let me know
Point S is located at(9,−3). Point T is located at (4,-3)
Answer:
if 52x=1 what is the value of x
Answer:
5.
Step-by-step explanation:
Khan academy (I tried 5 and it was correct)
Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
plz help i don't understand what it wants me to do its make up work and i haven't been taught how to do it also its algebra 2
Answer:
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
Step-by-step explanation:
We are to factorize the expression [tex]a^{3y} + 1[/tex] completely. To do this, we will apply the expression below;
The expression can be rewritten as [tex]a^{3y} + 1^{3}[/tex]
To factorize the expression, we need to first factorize [tex](a^{y}+1 )^{3}[/tex] first
[tex](a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\[/tex]
The we will make [tex]a^{3y} + 1^{3}[/tex] the subject of the formula as shown;
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
This last result gives the expansion of the expression
If 3* = 54, then which of the following must be true?
Answer: 3 < pi < 4
Step-by-step explanation:
Question 7(Multiple Choice Worth 4 points)
(01.06 MC)
Solve for x.
Ox=69
Ox = 15
Ox = 30°
Ox= 90°
Answer:
x = 30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x is 30.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a line EB where another line FA is intersected at the point A on the line EB.
Angles formed on a line is supplementary.
The angles EAF and BAF are the angles formed on a line.
∠EAF + ∠BAF = 180°
4x + 2x = 180°
6x = 180°
x = 180° / 6
x = 30
Hence the value of the x in 4x and 2x is x = 30.
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The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?
Answer:
(-15,12),(6,18)(12,-9)
Step-by-step explanation:
Given
A (-5, -4), B (2, 6), and C (4, -3)
Dilated from (x,y) to (3x,3y)
Required
Vertices of the dilated image
First, the scale factor has to be calculated
This is calculated as thus;
Dilation = Original * Scale Factor;
In case of (x,y) to (3x,3y)
So, we have
[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]
Simplify brackets
[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]
Divide both sides by (x,y)
[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]
[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =3[/tex]
Now, the vertices of the new image can be calculated;
Using the formula: Dilation = Original * Scale Factor;
At vertex A(-5,4)
Dilation = (-5,4) * 3
Dilation = (-5*3 ,4*3)
Dilation = (-15,12)
At vertex B(2,6)
Dilation = (2,6) * 3
Dilation = (2*3 ,6*3)
Dilation = (6,18)
At vertex C(4,-3)
Dilation = (4,-3) * 3
Dilation = (4*3 ,-3*3)
Dilation = (12,-9)
Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!
Answer:
141.9° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.
what is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?
(-3,0)
(-1,0)
(1,0)
(3,0)
Answer:
The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).
Answer:
Step-by-step explanation:
Sarah currently earns $18.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 20% raise. How much will she earn each hour after the raise?
Step-by-step explanation:
18 = 20/100 18x100=1800÷20=9020x?=1800 20x90=1800
Sarah will earn $ 21.60 following the percentage increase
What Does Percent Mean?A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%
The approximation error in a data value is the distinction between a precise value and one that is close to it. This error may be referred to as either an absolute error or a relative error.
The difference between the measured value and the true value, expressed as a percentage of the true value, is known as a percentage change.
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Let the amount Sarah will get following the percentage increase be A given the available facts.
Right now, Sarah's starting salary is $ 18.00.
20% is the proportion that hourly work will rise.
Hence, the amount of increased hourly work equals 20% of Sarah's starting salary.
Simplifying results in
The increase in hourly pay is (20/100) times 18 ($3.60)
Now, the amount Sarah will get following the % increase is A = the starting sum Sarah earns + the increase in hourly pay.
And Sarah will earn A = $ 18.00 + $ 3.60 = $ 21.60 after the percentage increase.
Hence, an increase of $ 21.60 is required for hourly employment.
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6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
Factor completely x3 + 8x2 – 3x – 24
O(x-8)(x2 - 3)
O (X + 8)(x2 + 3)
O (x-8)(x2 + 3)
O (X + 8)(x2 – 3)
Answer:
Option d is the answer
(X + 8)(x2 – 3)
Step-by-step explanation:
x3 + 8x2 – 3x – 24
= (X + 8)(x2 – 3)
Check all the options by expansion
(a)
(x-8)(x2 - 3)
=x3-3x-8x2+24
(b)
(X + 8)(x2 + 3)
=X3+3x+8x2-24
(c)
(x-8)(x2 + 3)
=X3+3x-8x2-24
(d)
(X + 8)(x2 – 3)
=X3-3x+8x2-24
The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand
Answer:
29
Step-by-step explanation:
23
Identify the measure of arc AB.
1. arc AB = 70°
2. arc AB = 60°
3. arc AB = 80°
4. arc AB = 50°
Answer:
4
Step-by-step explanation:
A and B meet at G which is 50 moving up the degree ould still stay 50
can you divide by zero
Answer:
No
Step-by-step explanation:
When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.
Answer:
no
Step-by-step explanation:
Factor completely x2 + 64.
(x + 8)(x − 8)
Prime
(x + 8)(x + 8)
(x − 8)(x − 8)
Answer:
Prime
Step-by-step explanation:
x^2 + 64 cannot be factored any further
It is prime because it cannot be factored further.
Can a prime number be factored further?Prime numbers have two elements, themselves and 1, however, those are the trivial factors that every variety has. Due to the fact they can not be factored in every other manner, we are saying that they cannot be factored.
What does prime suggest in factoring?Prime factorization is a way of expressing a variety of as a made from its prime elements. A high wide variety is a number that has precisely two elements, 1 and the variety itself. For instance, if we take the range 30. We realize that 30 = 5 × 6, however, 6 isn't always a high wide variety.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
243,729
Step-by-step explanation:
You just need to multiply each number by 3.
I hope this help you :)
Answer:
243, 729
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
1, 3, 9, 27, 81,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
1 - first term
3 - second term
1 ? ? = 3
1 × 3 = 3
So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
1, 3, 9, 27, 81,...
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
So, since 'multiply three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
81 × 3 = 243
243 × 3 = 729
Therefore, the next two terms in the sequence are 243, 729.
PLS HELP ME WITH MY GEOMETRY QUESTION
Answer:
X=131
Step-by-step explanation:
9+40+? = 180
All triangles =180
40+9=49
180-49=131
answer is x=131
Answer:
41
Step-by-step explanation:
This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
c always represents the hypotenuse, which is the longest side of the triangle
your two given numbers are represented by a and b
plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]
it should then be: 81+1600=[tex]c^{2}[/tex]
Add the two numbers and take the square root
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
to graph x[tex]\geq[/tex] 2 place a(n) blank on a number line at and shade to the blank
Answer:
See below
Step-by-step explanation:
Attached below is the graph of [tex]x\geq 2[/tex]. Since x=2 is a vertical line, everything shaded are the x values larger or equal to 2. Hope this helps!
Helpppppppp??????????
Answer:
Answer is option d
Answer is given below with explanations.
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750
Answer:
D.) 750
Step-by-step explanation:
3000-25%= 2250
3000-2250=750
Answer:
(D) $750
Step-by-step explanation:
[tex]3000* 0.25=750[/tex]
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184