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3 years ago

What is the gcf of 36 and 45

Mathematics

2 answers:

bearhunter [10]3 years ago

6 0

For the values 36 and 45, the GCF = 9

notka56 [123]3 years ago

3 0

36 = 2² × 3²
45 = 3² × 5
GCF : 3² = 9

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Write 10 x 10 x 10 x 10 x 10 with an exponent. 10 x 10 x 10 x 10 x 10 =

lakkis [162]

Answer:

$10^5$

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression $10\cdot10\cdot10\cdot10\cdot10$ , we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

$10^5$ .

Hope this helped!

7 0

3 years ago

Last summer, Karl went to the beach every 5 days. Antonia went to the beach every 33 days. How often did they see each other at

vfiekz [6]

Asuming they started summer at the same time. The logical answer will be none, because it will take at least 165 days for the lcd(5) to overlap and there is not 165 days in a summer.

so it will be a rate of 1 for every 5 times Antonia went to the beach.

3 0

3 years ago

Read 2 more answers

If wx = XZ, then WX = YZ

EleoNora [17]

False, because there is not enough information to prove that it is true

hope this helps

5 0

3 years ago

Read 2 more answers

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

Answers anyone I’m at risk for summer school ;-;

bonufazy [111]

Answer:

1 is B 2 is D 3 is A 4 is A 5 is C 6 is A

4 0

3 years ago