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3 years ago

I forgot how to do most of this yet they gave it to me as hw ‍♀️

Mathematics

2 answers:

svp [43]3 years ago

8 0

18.

-2(-9)+3

18+3

Explanation: -2(-9) When multiplying numbers that have both a negative sign, the answer is positive. Multiply normally.

19.

-6(-4)0

24(0)

Explanation: -6(-4) As I explained before, the answer would be positive.

24(0) Every number multiplied by 0 is 0.

20.

56+(-7)

Explanation: 56+(-7) Any problem like this is just basically going to be 56-7.

21.

-36+(-4)

-40

Explanation: -36+(-4) You are simply adding normally then adding the sign. This will only work if the signs are the same. (Signs are positive and negative.)

maw [93]3 years ago

4 0

When using negatives for problems such as these, remember three things!

1.) Two "-" signs that are sitting next to each other will always change into a "+" sign.

For example, 4 - (-5) = ? The two "-" signs in between the 4 and 5 become a positive number. It ALWAYS does!

2.) The bigger the number with the negative sign, then the answer will become negative in the end.

For example, 7 - 10 = ? (OR -10 + 7 = ?) The biggest number with the negative sign is "10". Therefore the answer will become negative. When you place -10 on a number line (Number Line is from -10 to 0), add 7 to that -10. This means move 7 spaces to the right since it's a positive 7.

-10, -9, -8, -7, -6, -5, -4, -3....You moved 7 spaces to the right. Now you see your answer is negative 3.

3.) If both numbers are negative and you're <u>adding them</u>, your answer will ALWAYS be negative.

For example, -6 + -7 = ? (This is the same as -6 - 7) Look at these expressions as if you're adding them. 6 + 7 = 13. Now just add the negative sign. -6 - 7 = -13. That would be the answer.

Hope this helps!

Let me know if you need help solving the other problems. I'll gladly explain.

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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

julsineya [31]

Answer:

a) -13.9 ft/s

b) 13.9 ft/s

Step-by-step explanation:

a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:

$D^{2} = (90 - x)^{2} + 90^{2}$ (1)

$\frac{d(D^{2})}{dt} = \frac{d(90 - x)^{2} + 90^{2})}{dt}$

$2D\frac{d(D)}{dt} = \frac{d((90 - x)^{2})}{dt}$

$D\frac{d(D)}{dt} = -(90 - x) \frac{dx}{dt}$ (2)

Since:

$D = \sqrt{(90 -x)^{2} + 90^{2}}$

When x = 45 (the batter is halfway to first base), D is:

$D = \sqrt{(90 - 45)^{2} + 90^{2}} = 100. 62$

Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:

$100.62 \frac{d(D)}{dt} = -(90 - 45)*31$

$\frac{d(D)}{dt} = -\frac{(90 - 45)*31}{100.62} = -13.9 ft/s$

Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.

b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:

$D^{2} = 90^{2} + x^{2}$