All categories

3 years ago

The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

Answer:

Step-by-step explanation:

Area of rectangle = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100

You might be interested in

Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each

soldier1979 [14.2K]

Hello! I believe she would have 58,000 at the end of her fourth year. Hope this helps. :)

6 0

3 years ago

Read 2 more answers

Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right

mars1129 [50]

Answer:

$BC=15\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

$AB^2=AC^2+BC^2$

substitute the given values

$17^2=8^2+BC^2$

solve for BC

$BC^2=17^2-8^2$

$BC^2=225$

$BC=15\ units$

5 0

3 years ago

Read 2 more answers

PERSON GETS 15 POINTZ PLZ HURRY The mean of the list n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15 is 11. What is the median?

7nadin3 [17]

Answer:

Step-by-step explanation:

To find the value of n we can write:

(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11

(9n + 63) / 9 = 11

9n + 63 = 99

9n = 36

n = 4

The median is n + 6 which is 4 + 6 = 10.

7 0

3 years ago

Read 2 more answers

What is the slope-intercept equation of this line?

Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/x2-x1)

m = ( -4 -8)/(6 - 0)

= -12/6

= -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

7 0

3 years ago

Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.

morpeh [17]

The first step for solving this expression is to reduce the fraction with 11.
$\sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } }$
Now reduce the fraction with $x^{7}$ .
$\sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } }$
Reduce the fraction one more time with $y^{6}$ .
$\sqrt{ \frac{5}{ x^{4} y^{2} } }$
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
$\frac{ \sqrt{5} }{ x^{2} y}$
Since we cannot simplify this fraction any further,, the final answer is going to be $\frac{ \sqrt{5} }{ x^{2} y}$ .
Let me know if you have any further questions.
:)

3 0

3 years ago

Read 2 more answers