What is the square root of 25/9?
Answers
square root of 9 = 3
therefore the square root of 25/9 = 5/3
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What is the equation of the line that passes through the points (5,2) and (-5,7)
Answers
The value of r is 2 in the equation r+11+8r=29.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
The given equation is r+11+8r=29
r plus eleven plus three times of r equal to twenty nine.
In the equation, r is the variable.
Add the like terms in the equation.
9r+11=29
Isolate the r term by subtracting 11 from both sides
9r=29-11
9r=18
Divide both sides by 9
r=2
Hence, the value of r is 2 in the equation r+11+8r=29.
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Answers
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ]
= x^3 - [(x-4)(x-4)(x-4)]
= x^3 - [x^2 - 8x +16(x - 4)]
= x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m
6.) 3x + By= -1;(2, 7)
Help!! Please
Answers
Answer:
5) A = 4
6) B = -1
Step-by-step explanation:
Question 5
Substitute (2, -5) into the equation to find the missing coefficient
A(2) + (-5) = 3
2A - 5 = 3
2A = 8
A = 4
Question 6
Substitute (2, 7) into the equation to find the missing coefficient
3(2) + B(7) = -1
6 + 7B = -1
7B = -7
B = -1
Answers
Please click the happy face button! :)
10⁻⁵ · 10⁴ · 10⁸ = 10⁻⁵⁺⁴⁺⁸ = 10⁷
Answers
The product rule for exponents allows you to add the exponents together when multiplying numbers with the same base. In the example, 10⁻⁵ · 10⁴ · 10⁸, you added -5, 4 and 8 to get 10⁷. This rule is useful in scientific notation for simplifying multiplication.
The product rule for exponents states that for any base (in your case it's 10), the product of two exponents with the same base equals to the base raised to the sum of the exponents. Essentially, you just add the exponents together. If you have 10⁻⁵, 10⁴, and 10⁸, you simply find your answer by doing 10⁻⁵⁺⁴⁺⁸. This is equal to 10⁷, so your initial calculation was correct. An example of this rule can be seen with smaller numbers. If you take 5² (equal to 5x5 which equals 25) and multiply it by 5³ (equal to 5x5x5 which equals 125), using the product rule of exponents, you would add 2 and 3 (the exponents) to get 5⁵ (equal to 3125). To further apply this rule, you could have scientific notation; for multiplying two numbers represented in this system (like 3 × 10⁵ and 2 × 10⁰) you multiply the coefficients (3 and 2) and combine it with 10 raised to the sum of the exponents.
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Answer:The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents
Step-by-step explanation:
A) 138°
B) 139°
C) 140°
D) 141°
Answers
180 - 39 = 141
n = 141 degrees
Answer: N = 141°
180° - 39° = N
180° - 39° = 141
Angle N = 141.
CHECK OUR WORK:-
141 + 39 = 180
We were RIGHT!!!
So, the measurement of N is D)141°.
Hope I helped ya!! XD