Answer:
20ft × 17ft
Step-by-step explanation:
(20-x)(23-x) = (20×23) - 120
460 - 43x + x² = 460 - 120
x² - 43x + 120 = 0
x² - 40x - 3x + 120 = 0
x(x - 40) - 3(x - 40) = 0
(x - 40)(x - 3) = 0
x = 3, 40
x = 3
New dimensions:
(23-3) × (20-3)
20 × 17
Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
6y = -x - 7
<span>y= 6x - 3 </span>
<span>__________________ </span>
<span>y = x/6 + 7/6 </span>
<span>y= 6x - 3 </span>
<span>Compare the gradients, one is 1/6, one is 6. These are not parallel because they aren't the same, and not perpendicular because they aren't negative reciprocals. Therefore, neither.</span>
The length of the side QR in the task content can be determined as; 12.22cm.
<h3>What is the length of the third side QR?</h3>
It follows from the task content that 2 lengths and one included angle are given in the task content. It therefore follows that the length of side QR can be evaluated by the cosine rule as follows;
QR² = 13² + 4² - (2×4×13×cos70)
QR = √149.4
QR = 12.22cm
Read more on cosine rule;
brainly.com/question/23720007
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Answer:

Step-by-step explanation:
We need to find the function using given condition.
Parent function of log is log x

A natural logarithmic function crossing the y axis at zero and going through the point 5, -1. The asymptote is x = -1
Asymptote is x=-1
So, graph will shift 1 unit right.

Passing point: (0,0) and (5,-1)
Using these two point we will get a and b
For point (5,-1)


Log to exponent change property

We will rearrange the expression

Now we compare both side to get a and b
So, a=-1 and b=6
Final function we get

Thus, Required function is 