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2 years ago

Gables property Corp is leasing office buildings with an area of 49x^2 + 70x +25

Mathematics

1 answer:

Hoochie [10]2 years ago

7 0

Answer:

Given: Gables property Corp is leasing office buildings with an area of $49x^2 + 70x+25$

⇒ Area = $49x^2 + 70x+25$

we can write this as:

Area = $(7x)^2+2\cdot (7x) \cdot (5) + (5)^2$ .....[1]

Use the identity formula:

$(a+b)^2 = a^2+2ab +b^2$

then, by using this formula in [1] we have;

Area = $(7x+5)^2$

Area = $(7x+5)(7x+5)$ square units

Area of building = $l \times w$ where l is the length and w is the width respectively;

⇒ $l = w = 7x+5$ units

Therefore, the possible length and width of the building is;

l = 7x+5 units

w = 7x+5 units

As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.

Therefore, the possible shape of the building is Square.

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WILL GIVE BRAINLIEST AND POINTSSSS

KonstantinChe [14]

Answer:

1) no; 202 + 212 ≠ 282

2) yes; 142 + 482 = 502

3) 2

4)18.0

hope this helped

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3 years ago

What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3

PtichkaEL [24]

Answer:

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

7 0

2 years ago

After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serio

Maru [420]

Answer:

0.009804

Step-by-step explanation:

We are given;

probability of testing positive given that you have the disease is 0.99

Also, probability of not testing positive and not having the disease is 0.99

We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001

Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.

So, we can now denote all the values in probability we have written earlier.

Thus:

P(T+ | D+) = 0.99

P(T¯ | D¯) = 0.99

P(D+) = 0.0001

Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999

Now, let's find probability of testing positive;

P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))

Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01

Thus;

P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)

P(T+) = 0.010098

Chances that one has the disease would be gotten from Baye's theorem;

P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804

7 0

3 years ago

the slipperiness of a floor (demoted by S) can be defined as a function of the number or banana peels (denoted by P) and the are

QveST [7]

We have been given that the slipperiness of a floor (demoted by S) can be defined as $S=\frac{P}{A}$

Here P= number or banana peels

A=area of the floor

Number of bananas peels can be measured (units ) in peels

Area can be measured in $m^2$

Since, slipperiness of a floor is the ratio of these two hence, we have

$\text{slipperiness of a floor}=\frac{\text{Peels}}{m^2}$

A is the correct option.

3 0

3 years ago

2 equivalent ratios for 9/10

garri49 [273]

9/10 * 2/2 = 18/20
9/10 * 3/3 = 27/30

8 0

3 years ago