Determine whether the following points are a solution to the given system.

GIVING BRAINLIEST! Calculate the slope of the following line

Georgia [21]

The slope is 3 because if you find the rise and run of two points. Run=1 rise=3 (divide the rise by the run) which equals 3. The slope is 3

6 0

3 years ago

In ΔXYZ the measure of

Delicious77 [7]

Answer:

tan X = $\frac{39}{80}$

Step-by-step explanation:

tan X = $\frac{opposite}{adjacent}$ = $\frac{YZ}{XZ}$ = $\frac{39}{80}$

4 0

3 years ago

Emanuel drove home from college traveling an average speed of 70 mph and drove back to the college the following week at an aver

xz_007 [3.2K]

Answer:

Step-by-step explanation:

Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took

Emanuel to drive from home back to college would be (11 - t) hours.

Emanuel drove home from college traveling an average speed of 70 mph.

Distance = speed × time

Distance covered by driving from college to home is

70 × t = 70t

He drove back to the college the following week at an average speed of 62.7 mph.

Distance covered by driving back to college from home is

62.7(11 - t) = 689.7 - 62.7t

Since the distance travelled is the same, then

689.7 - 62.7t = 70t

70t + 62.7 = 689.7

132.7t = 689.7

t = 689.7/132.7

t = 5.19 hours.

Therefore, the time that it took Emanuel to drive from home back to college is

11 - 5.19 = 5.81 hours

3 0

3 years ago

Read 2 more answers

40 points to whoever can answer for me!

luda_lava [24]

Answer:

x≤-3 2 ≤x<7

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3 X =2 X=7

We need to check the values when

x≤3 -3 ≤ x≤2 2 ≤x<7 x>7

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) = negative

-3 ≤x≤2

(positive)(negative) / (negative) = positive this range does not work

2 ≤x<7

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

8 0

3 years ago

Read 2 more answers

The height of a box that joan is shipping is 3 inches less than the width of the box. the length is 2 inches more than twice the

Bas_tet [7]

We first recall the formula for the volume of a rectangular box:
$V=l*w*h$ where l is its length, w is the width, and h is the height.

According to the problem, the height is 3 inches less than the width therefore we can replace h with the term $w-3$ . Additionally, the length of the box is 2 inches more than twice the width therefore the length can also be replaced with $2w+2$ .

We can notice that the equation will just have one unknown variable because we already know the volume of the box. We can then solve for this variable (w):

$1540=(2w+2)w(w-3)$
$1540=(2w+2)(w^{2}-3w)$
$1540=2w^{3}-6w^{2}+2w^{2}-6w$
$0=2w^{3}-4w^{2}-6w-1540$

Solving the cubic equation we'll get $w=10$ and two complex number solutions. We'll just need to solve for the length and height using the value of the width:

$l=2w+2=2(10)+2=22$
$h=w-3=10-3=7$

ANSWER: The width of the box is 10 inches; its length is 22 inches, and its height is 7 inches.

7 0

4 years ago