Answer:
0 = x² - 9x + 20
4 is a solution for the system.
Step-by-step explanation:
y + 5x = x² + 10
y = 4x -10
Replacing the value of y in the first equation. This method is called sustitution.
(4x -10) + 5x = x² + 10
4x - 10 + 5x = x² + 10
4x + 5x - 10 = x² + 10 organizing.
9x - 10 = x² + 10 sum of similar terms.
0 = x² + 10 -9x + 10 organizing.
0 = x² - 9x + 10 + 10 organizing.
0 = x² - 9x + 20 sum of similar terms.
What happens if replace 4 in the equation.
0 = 4² - 9(4) + 20
0 = 16 - 36 + 20
0 = -20 + 20
0 = 0 I find that 4 is a solution for the system.
Use proportional thinking to answer the question. Explain how you got an answer without using pencil and paper or a calculator.
If 10% of a number is 4.3, what is
20% of the number?
Answer:
8.6
Step-by-step explanation:
If we know 10% of a number is 4.3, we can easily find 20% of the number as well.
We know 20% is 2 times 10%.
Therefore,
2 x 4.38.6Help !!!
Geometry and the circle
Answer:
Look at the explanation.
Step-by-step explanation:
To begin with, the center of a circle is obviously the point in the middle of the circle and it has the same distance where ever you distance the center point from a point on the edges. Hope this makes sense so far. The diameter is from one point of the circle to another point of the circle and the diameter is in the middle meaning if you folded the circle upon the diameter it should be half and half. Radii are half of the diameter. Chords of a circle are "the line segment joining any two points on the circumference of the circle".
So now:
Center is Point F, Radii could be segments FU or Segment KF, Diameter is KU, Chords of the circle could be Segment, VL, GL, or DX. I hope this is correct and hope it helps....
Answer:
Step-by-step explanation:
Center
Which point is the center is just a guess. You are intended to say F.
Radii
KF FUA radius is a line that goes from the center of a circle to the circumference.
Chord
A chord is a line segment that joins two points on the circumference. Believe it or not, the diameter of a circle is a chord.
KUDKVLGLDiameter
KU
Look at the corners of the shape below. Which of the following points is located at one of the corners?
(1,6)
(2,2)
(6,1)
(1,7)
Answer: (6,1)
Step-by-step explanation:
Coordinate points are written as (x, y).
Here is a tip for finding coordinate points on a graph:
[1] Start at the origin, point (0, 0) on the graph
[2] "Walk left/right to the elevator" - this is the x-coordinate value
[3] "Go up/down the elevator" - this is the y-coordinate value
Here is an example, using your problem:
-> See attached
[Points in Blue] Move one unit right, three units up to (1, 3)
[Points in Red] Move two units right, seven units up to (2, 7)
[Points in Green] Move 6 units right, one unit up to (6, 1)
-> This means the answer to your problem is the third option, (6, 1)
If you are color blind, let me know and I will rephrase it.
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
in a group of 60 workers they get paid an average of 80$ a day per person.
if some earn $75 a day and the rest earn $100 a day, how many earn $75 a day
Answer:
48 workers earn $75 a day.
Step-by-step explanation:
Let x people earn 75 a day then 60-x earn 100 dollars a day.
Average is $80 a day so total paid out to the 60 workers
= 60*80 = $4800.
So 75x + 100(60-x) = 4800
75x + 6000 - 100x = 4800
6000 - 4800 = 100x - 75x
1200 = 25x
x = 48.
A percent is a rate in which the first term is compared to ______
Answer:
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100
PLS MARK ME AS THE BRAINLIST!!!
What is the area of a square if one side is 14 centimeters long?
Answer:
A=a2=142=196cm²
Answer: 196 cm²
hope this helps :)
Answer:
196cm²
Step-by-step explanation:
All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.
To find the area you multiply the length and the width (A=l*w)
l=14, w=14
14*14=196cm²
What is the length of a side of an equilateral triangle inscribed in a circle with a radius of 10 cm?
Answer:
a = √3 * r
a = √3 * 10
a = 10√3 cm
Step-by-step explanation:
Please help me out!
Answer:
it is the there'd one
if this is wrong sorry
State the center coordinate and radius length of the circle: x^2 + y^2 - 8x + 12y + 40 = 0
Answer:
Below in bold.
Step-by-step explanation:
x^2 + y^2 - 8x + 12y + 40 = 0
x^2 - 8x + y^2 + 12y = -40
Complete the square on the x and y terms:-
(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40
(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 12
So the centre is at (4, -6) and the radius is √12.
Answer:
The circle is centered at (4,-6) and has a radius of √12.
Step-by-step explanation:
The standard form for the circle equation is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
You have:
[tex]x^2+y^2-8x+12y+40=0[/tex]
First complete the square for the 'x' terms:
[tex](x^2-8x+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16)+y^2+12y+24=0[/tex]
[tex](x-4)^2+y^2+12y+24=0[/tex]
The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:
[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]
[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]
[tex](x-4)^2+(y+6)^2-12=0[/tex]
Add the 12 to the other side:
[tex](x-4)^2+(y+6)^2=12[/tex]
The circle is centered at x = 4, y = -6, and has a radius of √12.
What is the sum of the first thirteen terms in a geometric series with a
r = 3 a1= -10
The sum of the first thirteen terms of the geometric series is -7971615.
What is Geometric series?This is the sum of an infinite number of terms that has a constant ratio between successive terms.
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1Where:
S₁₃ = Sum of the first thirteen terms of the geometric series.a = First term of the seriesr = Common ratioGiven:
a = -10r = 3n = 13Substitute these values into equation 1
S₁₃ = -10(3¹³-1)/(3-1)S₁₃ = -7971615Hence, the sum of the first thirteen terms of the geometric series is -7971615.
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85% of fans going to a baseball game will spend at least $7.00 on food at the ballpark.
If 38,214 fans come out to Miller Park to watch the Milwaukee Brewers play against the Miami Marlins, how
much money will the ballpark make on food sales?
Answer:
$227,373.3
Step-by-step explanation:
85% of 38,214 is 32,481.9
If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3
Find cot B if csc ß= 3/5/5 and secß -3/2
Answer:
A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]
Step-by-step explanation:
Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]
This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]
The graph of y+21 > 6 is
Answer:
Image attached below.
Step-by-step explanation:
Hello!
First let's isolate y:
y + 21 > 6y > -15This means that we are looking at all the values on the coordinate plane that are above the line y = -15.
The red shaded region is the solution region. Note that -15 is not a solution of y > -15 (the dotted line indicates that).
The Ferris wheel at the museum park has a height requirement of 48 inches your little sister is 45 inches tall how much taller does she need to go before she can ride the Ferris wheel
Answer:
3 inches
Step-by-step explanation:
48 - 45 = 3
A frame around a rectangular family portrait has a perimeter of 96 inches. The length of the frame is 6 inches less than
twice the width. Find the length and width of the frame.
Width of the frame is
inches
Length of the frame is
inches
The length is 30 inches.
How to get the length of the frame?
For a frame of length L and width W, the perimeter is:
P = 2*(L + W).
Here we know that:
P = 96 in
L = 2*W - 6in
Replacing that we get:
96in = 2*( (2*W - 6 in) + W)
Now we can solve that equation for W:
96in = 2*(3W - 6in)
96in/2 + 6in = 3W = 54in
W = (54in)/3 = 18in
The width is 18 inches, then:
L = 2*W - 6in = 2*(18 in) - 6in = 30in
The length is 30 inches.
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A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet
steel costs $25 for each square meter, how much will the sheet steel cost in total?
6 m
3 m
5 m
Answer:
$42.78
Step-by-step explanation:
explanation is on the picture
Julian’s friend James also has a tank in the shape of a triangular prism. The dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank. If the area of the triangular base of Julian’s tank is approximately 400 square inches, what is the approximate area of the triangular base of James’ tank?
3,025 square inches
2,035 square inches
3,045 square inches
4,025 square inches
The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
What is scale?A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
A = area of triangular base of James' tank, A' = area of triangular base of Julian's tank = 400 in²So, scale, S = A/A'
The approximate area of the triangular base of James’ tankSo, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
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Simplify: [tex]\sqrt{34}[/tex]
if it cant, just solve.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
We can make an explanation of a quick way, or the long way.
Quick way :-⇢ [tex]\sf{\sqrt{34}[/tex]
⇢ [tex]\sf{Refine \: to \: a \: decimal \: form:}[/tex]
⇢ [tex]\sf{= \: 5.83095}[/tex]
Long way :-Which this one I am talking about of the Square root of an fraction or a prime factorization.
⇢ [tex]\sf{Find \: the \: prime \: factors \: of \: 34.}[/tex]
⇢ [tex]\sf{The \: prime \: factors \: of \: 34 \: are \: 2 \: and \: 17.}[/tex]
⇢ [tex]\sf{34 \: = \: 2 \: ^. \: 17}[/tex]
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
2. Use the figure to find angle measures. In the figure, m ll n and x ll y.
A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.
Answer:
See below ~
Step-by-step explanation:
A.
m∠5 = m∠10 (alternate angles)m∠10 = 69°B.
∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°C.
∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°#1
m<5 and m<10 are alternative and equal
m<10=69#2
They are supplementary
114+m<14=180m<14=180-114=66#3
Alternate angles are equal
m<12=86A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues?
Answer:
4080 hits.
Step-by-step explanation:
By proportion that would be 1700 * 24/10
= 4080.
X – 6<-4
A. x<2
B.X-10
C. x>-10
D. x > 2
Answer:
[A] x < 2
Step-by-step explanation:
Given:
x - 6 < - 4
Solve:
Add 6 to both sides
Which shown below:
x - 6 < - 4
+ 6 +6
-----------------
x < 2
Hence, the answer is [A] x < 2
Kavinsky
Find an angle α that is coterminal with an angle, in radians, measuring −13π/2, where 0≤α<2π. Give your answer as an exact answer involving π, if necessary.
Answer:
α = 3π/2
Step-by-step explanation:
To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.
α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2
x 10xy) + 16x
19 +11z +2 (-2-z)
Answer:
Don't understand retype your question
HELP AND I WILL GIVE YOU BRAINLIST! ANSWER CORRECTLY PLEASE.
Complete the sentences about simplifying this expression.
Answer:
Step-by-step explanation:
First step is to solve the numerator
so the fraction is 29/10/29
so the whole expression is 1/10
Answer: Solve the numerator, numerator and denominator are equal, expression equals 13
Step-by-step explanation:
13 x (5.6-2.7/2.9)
1. The first step; solve the numerator (5.6-2.7=2.9)
2. The numerator and dominator are equal, so the whole expression equals 13 (2.9/2.9 = 1 --> 1*13 = 13)
PLS HURRY
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
A change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures. An enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
This can be understood with the following points:
Scale factor is the proportion between the actual and mapped dimensions of a construction.The change in dimensions of the building lead to the change in scale factor.This is happened to preserve their relationship.Thus, a change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
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Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
if 2⁴x ÷2x =64 find the value if x
with steps pls
Answer:
[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]
Answer: no solution or x ∈ Ø
Step-by-step explanation:
(2⁴ × x) ÷ 2x = 64
16x ÷ 2x = 64
[tex]\frac{16x}{2x} = 64[/tex]
8 = 64
8 = 64, x [tex]\neq[/tex] 0
8 = [tex]8^{2}[/tex]
2 = ㏒₈ 8
2 = 1
$300 to $200 is how much of an increase?
Answer:
$100
Step-by-step explanation:
$300-$200=$100
or
$200+$100=$300
Answer:
50%
Step-by-step explanation:
Solve for D: 70D + 6 - 9D= 35 + 4D - 2.
70d+6-9d=35+4d-2
70d-9d-4d= 35-2-6
57d= 27
d= 27÷57
