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lubasha [3.4K]
4 years ago
7

The length of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
IRINA_888 [86]4 years ago
5 0

Answer:

6 units

Step-by-step explanation:

A = lw

l = w + 2

48 = lw

48 = (w + 2)w

48 = w² + 2w

0 = w² + 2w - 48

Quadratic equation results =

w = 6 or w = -8

But the measure could not be negative, therefore w = 6

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Could anyone explain to me about adding and subtracting exponents. I don’t understand these equations with their exponents!
meriva

Answer:

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

Step-by-step explanation:

I think the answer to your first question should be:

30a²b - 30ab²

Your second answer is good

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

for example, 6a²b³c x 2abc = 6(2)(a²)(a)(b³)(b)(c)(c)

= 12a³b⁴c²

8 0
2 years ago
A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12
Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

4 0
3 years ago
Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?
olganol [36]

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

b = -1

Now we replace b with -1.

y = (1/3)x - 1

8 0
3 years ago
0.84 is 10 times as much as....<br><br> Could you please explain why?
Olegator [25]
0.084 is the answer because 0.84 divided by 10 is 0.084
6 0
4 years ago
What is (3 x 20) + 9 and what is (4 x 100) + 20?
madreJ [45]

Answer:

(3 x 20) + 9 = 69

4 x 100) + 20 = 420

7 0
3 years ago
Read 2 more answers
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