Answer:
8
Step-by-step explanation:
Given the expression
4t^6-r^10 we are to factorize in the form;
(2t^x+r^y)(2t^x-r^y)
First we need to factorize (2t^x+r^y)(2t^x-r^y)
[tex]= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}[/tex]
Compare [tex]4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}[/tex]
[tex]4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\[/tex]
Get y;
[tex]r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8[/tex]
Hence the sum of x and y is 8
Round 431,857 to the nearest ten thousand
Answer:
i don' think you can
Step-by-step explanation:
In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Given:
Consider the below figure attached with this question.
[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
[tex]m\angle 3=m\angle 4[/tex]
[tex](x+30)^\circ=(2x-80)^\circ[/tex]
[tex]x+30=2x-80[/tex]
[tex]x-2x=-30-80[/tex]
[tex]-x=-110[/tex]
[tex]x=110[/tex]
Now,
[tex]m\angle 3=(110+30)^\circ[/tex]
[tex]m\angle 3=140^\circ[/tex]
Therefore, the measure of angle 3 is 140 degrees.
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
The value of x=2 and y=1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
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A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Answer:
Store A:
✔ $1.98 per loaf
Store B:
✔ $1.95 per loaf
Store C:
✔ $2.01 per loaf
Store D:
✔ $2.02 per loaf
Step-by-step explanation:
How do I solve this problem?
Answer:
4
Step-by-step explanation:
17-5=12/3=4 so yeah that is all you need to know
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
Just help me pls and thank u
can someone explain how to solve this?
You draw one card from a standard 52-card
deck. In how many ways could the card be a
face card or a red card?
Answer:
23%
Step-by-step explanation:
There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits). The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%.
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
i really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
-2, -5, 2, then 5
Step-by-step explanation:
Answer:
-5, -2, 2, 5
Write and equation of the line that contains the points below.
(-5, 4) and (-1, -8)
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
2. If 5x + 8 = 4, then 3x = ?
please answer guys
Answer:
3x = -2 2/5 or -2.4
Step-by-step explanation:
5x + 8 = 4
5x = 4 - 8
5x = -4
x = -4/5
3x = y If x = -4/5
3 * -4/5 = y
-12/5 = y
-2 2/5 = y
help me. please math
Answer:
$16
Step-by-step explanation:
60 + 4 = 64
64 ÷ 4 = 16
CHECK:
16 x 4 = 64
64 - 4 = 60
help me plz .........
.
Answer:
99
Step-by-step explanation:
(40+49)+10=89+10=99
true of false? the slope of thia equation is zero
y=x+5
Answer:
false
Step-by-step explanation:
no solution
I did it on a graph and I think its true?
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:
Answer: 36?
It's too short. Write at least 20 characters to explain it well.
Jasmine has taken an online boating course safety course and now completing her end-of-course exam . As she answers each question , the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed Question 16 and the progress bar shows she is 20% complete. How many total questions are on the test ?
Answer:
80
Step-by-step explanation:
20 percent is 16 questions
then 100/20=5
5 times 16 is 80
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
Which triangle is congruent to triangle ABC?
cynthia has earned 1,000 and wants to put it in a savings account that earns 5% simple interest assuming she makes no additional deposits or withdrawals what will be the total value of cynthias account after 48 months
Answer:
6746734
Step-by-step explanation:
first fo 45 minus 45 get 0 add then 56 plus 34
Answer:
1200
Step-by-step explanation:
1000(1+.05x4)
5%=.05
convert the months into years
What is the quotient 5/8 + 1/5?
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
Which matrix respresents the system of equations shown below?
3x - 2y = 12
4x - y = 9
9514 1404 393
Answer:
B
Step-by-step explanation:
If you remove the variables and the equal signs from the equations and put brackets around what is left, you have the matrix that represents the equations:
[tex]\left[\begin{array}{ccc}3&-2&12\\4&-1&9\end{array}\right] \qquad\textbf{matches B}[/tex]
_____
Additional comment
You need to be sure the variables are in the same order in both equations, as they are here. If there are equations with missing variables, you need to use a zero (0) coefficient in the missing variable's location.