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3 years ago

Could -2be used as a base to rewrite 32? 64? why or why not

1 answer:

4 0

32. No because (-2)^5= -32. The exponent is odd so the negative sign does not cancel out.

64. Yes because (-2)^6=64. The exponent is positive so the negative sign in -2 is cancelled out through multiplication.

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A student has 6 nickel 14 dimes and 8 quarter. What is the total number of coins?

S_A_V [24]

There is 28 coins total

7 0

2 years ago

CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

3 years ago

Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st

kompoz [17]

<span>We let x be the length and y be the width of the rectangle. Then,

Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x

Area = xy
A = x(50 - x)
A = 50x - x^2

We then take the derivative; set it equal to zero:

A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25

Therefore, the dimensions are 25 and 25.</span>

7 0

3 years ago

What is the measure of angle TSU?

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.

7 0

3 years ago

How do you add a fraction and a whole? Please explain step by step to get marked as brainliest

Dimas [21]

Step-by-step explanation:

How do you add a fraction and a whole number?

add

Whole numbers are all natural numbers including 0.

A fraction represents a numerical value, which defines a part of a whole.

Answer: To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Let's look into the steps to add a fraction to a whole number.

Explanation:

Convert the whole number into a fraction by taking the denominator as 1.

Compare the denominators and make them common so that they become like fractions.

Add the numerators of the two fractions.

Example: Add 2/15 and 5

Step 1: Converting the whole number into a fraction.

5 in terms of a fraction is written as 5/1

Step 2: Make the denominator common.

Since, 2/15 has 15 as the denominator, hence, we need to make the denominator of 5/1 as 15

Multiplying numerator and denominator with 15 we get,

(5 × 15) / (1 × 15) = 75/15

Step 3: Adding the numerators of the two fractions.

2/15 + 75/15 = (2 + 75)/15 = 77/15

Thus, to add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

5 0

2 years ago