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3 years ago

Solve the equation 4s=112

Mathematics

2 answers:

mixer [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Divide by 4 and get s=28

algol [13]3 years ago

7 0

Answer:

s=28

Step-by-step explanation:

To do this, we need to isolate s.

We can do this by dividing both sides of the equation by 4.

This will reverse the multiplication being done to s.

Our equation will now be s=28

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Determine the equation of the circle graphed below .

Volgvan

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

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3 years ago

Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

dedylja [7]

Answer: $x\leq3$

Step-by-step explanation:

The given inequality : $2(4+2x)\geq5x+5$

To solve the above inequality, first we need to multiply 2 inside the bracket by using distributive property in left side, we get

$8+4x\geq5x+5$

Now, Subtracting 4x and 5 on the both sides of the inequality, we get

$8+4x-4x-5\geq5x+5-4x-5\\\\\Rightarrow\ 3\geq x$

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3 years ago

54 is the product of victors age and 3

VMariaS [17]

Answer:

Step-by-step explanation:

divide 54 by 3 to get his age

54÷3=18

8 0

3 years ago

Find the multiplicative inverse of 3 − 2i. Verify that your solution is corect by confirming that the product of

leonid [27]

Answer:

$\frac{3}{13} + \frac{2i}{13}$

Step-by-step explanation:

The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1

So for this problem we need to find a number z such that

(3 - 2i) ( z ) = 1

If we take z = $\frac{1}{3-2i}$

We have that

$(3- 2i)\frac{1}{3-2i} = 1$ would be the multiplicative inverse of 3 - 2i

But remember that 2i = √-2 so we can rationalize the denominator of this complex number

$\frac{1}{3-2i } (\frac{3+2i}{3+2i } )=\frac{3+2i}{9-(4i^{2} )} =\frac{3+2i}{9-4(-1)} =\frac{3+2i}{13}$

Thus, the multiplicative inverse would be $\frac{3}{13} + \frac{2i}{13}$

The problem asks us to verify this by multiplying both numbers to see that the answer is 1:

Let's multiplicate this number by 3 - 2i to confirm:

$(3-2i)(\frac{3+2i}{13}) = \frac{9-4i^{2} }{13} =\frac{9-4(-1)}{13}= \frac{9+4}{13} = \frac{13}{13}= 1$

Thus, the number we found is indeed the multiplicative inverse of 3 - 2i

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3 years ago

The legs of a right triangle are 75 and 100. what is the length of the hypotenuse

Levart [38]

Answer + step-by-step explanation:

125

c = a2 + b2 = 75^2 + 100^ 2=125

8 0

3 years ago

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