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Marat540 [252]
3 years ago
9

(7+5) ÷ 6 + 10 to the second power

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0
Remember PEMDAS (Parentheses, Exponents, Multiplication ⇔ Division, Addition ⇔ Subtraction), which is the order you solve parts of an expression.

(7 + 5) ÷ 6 + 10²   Add 7 and 5 (Parentheses)
   12 ÷ 6 + 10²      Square 10 (10 x 10) (Exponents)
  12 ÷ 6 + 100      Divide 12 by 6 (Division)
       2 + 100        Add (Addition)
          102
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Use the quadratic formula to find the solutions to the equation.<br> 3x2 - 10x + 5 = 0
Nitella [24]

Answer: A

Step-by-step explanation:

3x² - 10x + 5 = 0

a = 3      b = -10     c = 5

Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions

=> x = \frac{10+\sqrt{40} }{6} or x = \frac{10-\sqrt{40} }{6}

3 0
2 years ago
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What’s the correct answer for this question?
torisob [31]

Answer:

C:

Step-by-step explanation:

Volume of rectangular pyramid = (1/3)(l×w×h)

Where l is length , w is width and height is h

V = (1/3)(12×10×8)

V = (1/3)960

V = 320 cubic inches

4 0
3 years ago
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The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the​ cylinder?
DedPeter [7]

Answer:

Height is 21cm

Step-by-step explanation:

Volume of the cylinder = 1029pi

Base area = 7x7xpi = 49pi

Therefor the height = 1029pi/49pi=1029/49 = 21cm

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3 years ago
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Find the midpoint of the line segment joining the points ​R(-3​,2​) and ​S(4​,3​).
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x = -3 + 4 / 2

x = 1/2

y = 2 + 3 / 2

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( 1/2 , 5/2 )

Hope this helps! ;)

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Rewrite the following expression in standard form by finding common denominator and collecting like terms
kotykmax [81]
We have the expression \frac{2h}{3} - \frac{h}{9} + \frac{h-4}{6}; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.

The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3: 6=(2)(3).
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3: 9=(3)(3)=3^{2}.
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is 3^{2}. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
common.denominator=(3^{2} )(2)=(9)(2)=18 

Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
\frac{2h}{3} - \frac{h}{9}+ \frac{h-4}{6}  = \frac{(6)(2h)-(2)(h)+3(h-4)}{18}
\frac{12h-2h+3h-12}{18}
\frac{13h-12}{18}

Answer: \frac{13h-12}{18}
4 0
2 years ago
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