Answer:
We want to rewrite:
q^2 = a*(p^2 - b^2)/p
as a linear equation, in the form:
y = m*x + c
So we start with:
q^2 = a*(p^2 - b^2)/p
we can expand the left side to get:
q^2 = (a/p)*p^2 - (a/p)*b^2
q^2 = a*p - (a/p)*b^2
Now we can ust define:
a*p = c
Then we can replace that to get:
q^2 = -(a/p)*b^2 + c
now we can replace:
q^2 = y
b^2 = x
Replacing these, we get:
y = -(a/p)*x + c
finally, we can replace:
-(a/p) = m
then we got the equation:
y = m*x + c
where:
y = q^2
x = b^2
c = a*p
m = -(a/p)
Which represents the polynomial below written in standard form?
StartFraction x squared Over 2 EndFraction – 3x + 4x3 + 6
6 + StartFraction x squared Over 2 EndFraction – 3x + 4x3
4x3 + StartFraction x squared Over 2 EndFraction – 3x + 6
–3x + 4x3 + 6 + StartFraction x squared Over 2 EndFraction
StartFraction x squared Over 2 EndFraction + 4x3 – 3x + 6
Answer:
B. [tex]4x^3}+\frac{x^2}{2}-3x+6[/tex]
Step-by-step explanation:
The polynomial is [tex]\frac{x^2}{2}-3x+4x^3}+6[/tex]
To write in Standard form, the greatest exponent goes first, down to the least.
The greatest exponent is 3, so [tex]4x^3[/tex] goes first.
[tex]4x^3}+\frac{x^2}{2}-3x+6[/tex] is what you end up with
Answer:
B
Step-by-step explanation:
I took the test.
Combine these radicals.
Anyone can help pls
help me pls??????? :)
Answer:4 in each bad 2 left over
Step-by-step explanation:
Answer:
4 in each bag and 2 left over
Step-by-step explanation:
divide 14 by 3
3 goes into 14, 4 times
14 - 12 = 2
4 in each bag and then 2 left over
(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
Answer:
C on Edge or (1,-9)
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II
Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
Answer:
12.9
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x
Multiply both sides by x
x * Tan(51) = 16
Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.9
Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?
Answer:
320 minutes (5 hours and 20 minutes).
Step-by-step explanation:
2 hours and 17 minutes = 137 minutes
137 + 84 + 99 = 320
Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.
help find the height
Answer:
A
Step-by-step explanation:
Heron's formula finds the area of any triangle.
Area = sqrt(s*(s - a)*(s-b)*(s-c) )
s = (a + b + c)/2
a = 8
b = 16
c = 12
s = 36/2 = 18
s-a = 18 - 8 = 10
s-b = 18 - 16 = 2
s-c = 18 - 12 = 6
Area = sqrt(18*10*2*6) = sqrt(2160)
Area = 12*sqrt(15)
Area = 46.4758
Now x is easily found. It is the altitude to 16
Area = 1/2 16 * h
46.4758 * 2 / 16 = h
h = 3*sqrt(15)/2
h= 5.81
Evaluate the expression when a=3.
a^2 - 6a -5
Answer:
- 14
Step-by-step explanation:
a = 3
a^2 - 6a - 5
= 3^2 - 6 ( 3 ) - 5
= 9 - 18 - 5
= 9 - 23
= - 14
You want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
You will need to order 3.75 cubic yards of topsoil.
Step-by-step explanation:
Since you want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden, and the dirt store sells by the cubic yards, to determine how many cubic yards will you need to order given that the store only sells in increments of 1/4 cubic yards, the following calculation should be performed:
3 inches = 0.25 feet
15 x 26 = 390 x 0.25 = 97.5
1 cubic yard = 27 cubic feet
97.5 cubic feet = 3.61 cubic yards
3.75 = 1/4 x 15
Therefore, you will need to order 3.75 cubic yards of topsoil.
What is the measure of the missing length?
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
What do you know to be true about the values of p and q?
Answer:
p = q
Step-by-step explanation:
Angles in a triangle add up to 180°
For the left triangle:
180 = p + 20 + 80
p = 80
For the right triangle:
180 = q + 45 + 55
q = 80
Therefore, p = q
Ram bought a watch and sold to hari at 10% profit. Hari again sold it to Ram for rs 6,050 at 10% profit. i)find the cost price of Hari. ii) find the cost price of Ram.
Answer:
dame like y muchísimas estrella
Can someone help me I don't know
Answer:
The answer would be (x-5, y-5)
Step-by-step explanation:
You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).
i don’t know what it is can someone help
Answer:
b
Step-by-step explanation:
Find m arc DC.
Please help!
Answer:
51
Step-by-step explanation:
Which graph represents the step function f(x)=⌊x+2⌋?
Answer:
biyotiptol graph by using pen
The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
29.5
Step-by-step explanation:
(5×35)+(5×24)/10
175+120/10
295/10
=29.5
A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning.
Answer:
Initial speed is 32 m/s
At uniform speed, acceleration is 0, (a = 0).
When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.
From first equation of motion:
[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]
substitute:
[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]
from second equation of motion:
[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]
substitute:
[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]
Some help me with this pls.
Find m
Answer:
The inscribed angle intercepts the circle's radius is always 90
Step-by-step explanation:
Can someone please help me with these questions (picture)
Step-by-step explanation:
Answer 1 to find the base to apply the Pythagoras theorem..of finding length..
Hypotenuse²= Base²+ Height²
So,
(H)²= (B)²+(H)²
12²= 8²+y²
144-64=y²
80=y²
√80= y
√2×2×2×2×5= y
2×2√5= y ( take one 2 from each pair)
4√5= y
hope it helps...
Answer:
4 sqrt(5); 41.0
Step-by-step explanation:
Question 7:
Using Pythagoras theorem:
y = sqrt(12^2 - 8^2)
y = sqrt(80)
y = 4 sqrt(5)
Question 8:
A = Area rectangle + Area circle
A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2
A = 10.56 + 9.68 pi
A = 41.0
Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality
Answer:
C. Divide both sides by 3
Step-by-step explanation:
3x=12
3x/3=12/3
x=4
Find the missing side lengths
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?
Answer:
The base cost of the camera, exclusive of sales tax, is $160.
Step-by-step explanation:
Set up this equation and solve for x, which is the cost of the camera:
$3.20 = $0.02x [0.02 = 2%]
Solve the equation by dividing $3.20 by 0.02. The answer is $160.
Answer: $160 for the camera
Step-by-step explanation:
0.2x160=3.2
$160
Simplify the complex number √-16+8.
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8)
pls help:(
Answer:
Step-by-step explanation:
let's try a:
-4*4x-4*(-17) - expand the distributing terms
-16x-4*(-17) - simplify
-16x-(-68) - simplify again
-16x+68 - remove parentheses
-16x+68 does not equal to 16x-68
lets try b:
-28x+3... dont know what u mean
lets try c:
13-34 first
-21
lets try d:
0-17
-17
lets try e:
-2x+(8-8)
-2x
fortunally dont know what you mean.
Which of the following expressions is equal to x2 +25?
O A. (x+10)(x-15)
O B. (x-51)(x+51)
OC.
-512
O D. (x+5)
Will give brainyliest answer
Answer:
Solution given:
x²+25=???
we have
formula
a²+b²=(a+b)²-2ab or (a-b)²+2ab
so
x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x
or
x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x
:.
expressions is equal to x² +25 is
(x-5)²+10x
or
(x+5)²-10x
What is the scale factor of this dilation?
A 2/3
B 1 1/2
C 3
D 5
Answer:
B. 1 1/2
Step-by-step explanation:
The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.
The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?
Answer:
The markup is 81.25%
Step-by-step explanation:
Take the new price and subtract the original price
58 - 32
26
Divide by the original price
26/32
.8125
Change to percent form
81.25%
The markup is 81.25%
The numbers 8,x,9 and 36 are in proportion.Find x
If you can give the proportion then it would be better.
I am asuming
8:x::9:36
Then 8:x::1:4
So x = 32
Answered by Gauthmath must click thanks and mark brainliest
Answer:
x = 32
Step-by-step explanation:
[tex]\frac{8}{x}[/tex] = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )
x = 8 × 4 = 32
