Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
Similar Figures and Scale Drawings Extension brainliest plus 40 points
I think it's a pattern, so x would be 3 and y would be 5 for the first one
x would be 20 for the second
and i dont even do word problems so...
0⁴= Evaluate. please.
Answer:
0
Step-by-step explanation:
because we can't multiply anything by 0.
is like saying 0×0×0×0=0
Hope this helps :D
select two figures that have the same volume. A. cone with base radius 6 and height 3. B. cone with base radius 5 and height 6. C. cone with base radius 4 and height 9. D. cone with base radius 3 and height 12
Answer:
I believe it is c and d
Step-by-step explanation:
math stuff and math
Look at the comments under this question! y = 10-3x and 2x+2y = 0
Answer:
Yes! You would sub 10-3x for y and solve.
Don't forget to use the distributive property! Your answer should be 5.
The exterior angle of a regular polygon is 36º.
How many sides does the polygon have?
Answer:
10
Step-by-step explanation:
The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.
what is 1+1? pls dont hate on me
Answer:
2
Step-by-step explanation:
1+1=2
Answer:
Its 2
Step-by-step explanation:
Thank you for the points
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
Which of the following is the multiplicative inverse of 4?
16
-4
1/4
-1/4
Determine the equation of the circle graphed below.
Answer:
lol you didnt add a pic
Step-by-step explanation:
PLEASE HELP DUE SOON!! #2 and #4
Answer:
2. We can't see the figure so we can't answer this
4. they are both the symmetrical, so we can safely assume that they are both equal.
What is an equation in point line slope form of the line that passes through the point (4,-1) and had slope 6
Answer:
y+1=6(x-4)
This is if you want it in point slope for,.
Step-by-step explanation:
Then, if you simplify it.
y+1=6x-24
y=6x-25
Now, it is in slope intercept form.
Jayden ran 9 laps in 27 minutes. How many minutes dose it take him to run 20 laps
Answer:
It would take him 60 minutes to run 20 laps.
Step-by-step explanation:
We can solve using proportions.
[tex] \frac{9 \: laps}{27 \: minutes} = \frac{20 \: laps}{x} \\ \\ \frac{540}{9} = \frac{9x}{9} \\ \\ 60 = x[/tex]
It would take him 60 minutes.
How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?
Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?
I assume you mean the former. To begin with,
1 = exp(0°i ) = cos(0°) + i sin(0°)
Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,
1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)
1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)
where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,
• cos(0°/5) + i sin(0°/5) = 1
• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)
• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)
• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)
• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)
If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,
cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)
cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²
cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
which follows from the expansion
(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)
due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :
1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.
y^2 + 18y - 41 = 0
Y=
Y=
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
Which of the following equations are equivalent? Select three options.
02+x-5
Ox+1-4
O9+x-6
O x+4)-7
O-5+X=-2
3
Andrew plays a card game. In the first round, he gets 4 points.
In the second round, he loses 4 points. The expression 4 +(-4)
represents his score after the two rounds.
-
+
a. Circle the zero pairs in the model.
b. How many points does Andrew have after the second round?
c. What is 4 + (-4)?
Answer:
A) The 4 and (-4) are 0s.
B) 0 points after the second round
C) 4+(-4) is 0
The 4 and the (-4) are the zero pairs in the model
Andrew has 4 + (-4) = 0 points after the second round.
4 + (-4) = 0
which two integers is 83 between?
Answer:
41+42=83 ... therefore these are the required integers.
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM I REALLY NEED HELP WITH IT PLEASE!!!!!!!!
Answer:
the numbers at the bottom go on the side and the ones on the top graph them on the bottom numbers
Step-by-step explanation:
if you solve the equation ax+by/c=d for y what would you get?
y=b/cd-ax
y=b/ax-cd
y=cd-ax/b
y=ax-cd/b
Answer:
Y=cd-ax/b
Step-by-step explanation:
You r to use change of subject of the dormula
A new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
The next 3 days she worked, she sold an average of $42,000. How much did she sell on average
per day over the entire 8 days?
Answer: 15
Step-by-step explanation:
The average number of cars sold for entire 8 days is $33250.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
So, number of cars sold for 5 days =28,000×5
= 140000
The next 3 days she worked, she sold an average of $42,000.
Number of cars sold for 3 days
= 42,000×3
= 126000
So, average of 8 days =(140000+126000)/8
= 266000/8
= 33250
Therefore, the average number of cars sold for entire 8 days is $33250.
To learn more about an average visit:
https://brainly.com/question/11195029.
#SPJ2
The candle burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an equation for L, in terms of t,t, representing the length of the candle remaining in inches, t hours after the candle was lit.
some one please help me
-5x + 10 > -15 can someone solve this?
Answer:
x<5
Step-by-step explanation:
Answer:
x<5
Step-by-step explanation:
First, subtract 10 from both sides which will give you −5x>−25.
Then just divide both sides by -5 and you should get the same answer x<5
I hope this helps :)
Lucy did 8 laps of an 800m derek did 12 laps of a 1.5km track on his bike who went further and by how munch
Answer:
Derek; by 11600 m.
Step-by-step explanation:
Convert 1.5km into m.
1.5 is 1500m.
1500 * 12 = 18000 m
8 * 800 <= Lucy
6400 m <= Lucy's distance
18000-6400=11600m
Based on the information, Derek went further by 11600m.
Lucy did 8 laps of an 800m. The total distance will be:
= 8 × 800m
= 6400m
Derek did 12 laps of a 1.5km track. The total distance will be:
= 12 × 1500m
= 18000m
Therefore, the difference will be:
= 18000m - 6400m
= 11600m
Learn more about multiplication on:
https://brainly.com/question/25545513
find the slope of the line graphed below
Answer:
-3/2
Rise over run!
Given f(x)=-2x-3 and Range={-5,-1,-3} find Domain
{1,3,5}
{-1,0,1}
{2,3,1}
{0,-2,3}
Answer:
the answer is the 2nd option
domain = { -1, 0, 1 }
Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
Please see work attached.
hit the heart button :)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]
take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]
and just substitute to get [tex]\sqrt{65}[/tex]
Hiram takes an Uber from his house to the alrport. The Uber driver charges $3.50 initial fee plus
$7.25 per mile. Write the equation that can be used to find y, the total cost of the trip, If x
represents the number of miles in the trip? (Do not include $ in your equation).
Answer:
y = 7.25x + 3.50
Given x2=9, solve for x
Answer:
4.5
so I did 9 /2 = 4.5
Answer:
4.5 or 9/2 or 4 1/2
Step-by-step explanation:
You divide 9 by 2, to get 4.5 in number form. 9/2 for improper fraction form and 4 1/2 for whole number fraction.
Given: g(x) = Vx – 4 and h(x) = 2x – 8.
What is g(h(10))?
Answer:
g(h(10)) = 43
Step-by-step explanation:
Given: g(x) = 4x – 4 and h(x) = 2x – 8.
We are to find g(h(10))
First we need to get g(h(x))
g(h(x)) = g(2x-8)
Replace x in g(x) with 2x-8 as shown:
g(2x-8) = 4(2x-8)-4
g(2x-8)= 8x-32-5
g(2x-8) = 8x-37
Hence g(h(x)) = 8x-37
g(h(10)) = 8(10)-37
g(h(10)) = 80-37
g(h(10)) = 43
Hence g(h(10)) is 43
Someone Please explain how to do this. HURRY