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swat32
3 years ago
15

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

area of the resulting rectangle is 90ft squared. Find the original area of the square.
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64  

Step-by-step explanation:

(x-2)(x+7)=90

x^2 +5x -14=90

x^2 +5x -14 -90=90-90

x^2 +5x -104=0

factor it out

(x−8)(x+13)=0

so 8 or -13

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Julie needs to cut 4 pieces of yam, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the
Lapatulllka [165]

Answer:

She has to cut another piece = 7.75 inches

Total length = 4x + 7.75

This is what y represent, so

y = 4x + 7.75

The graph of the equation is continuous

4 0
3 years ago
The work of a student to solve the equation 3(2x – 4) = 8 + 2x + 6 is shown below:
Blababa [14]
If you would like to know in which step did the student first make an error and what is the correct step, you can calculate this using the following steps:

3(2x - 4) = 8 + 2x + 6
6x - 12 = 8 + 2x + 6
6x - 12 = 14 + 2x ... Step 2
6x - 2x = 14 + 12
4x = 26
x = 26/4 = 13/2

The correct result would be Step 2; <span>6x - 12 = 14 + 2x.</span>
6 0
3 years ago
I dont get how to solve this?
Alex

Answer:

Step-by-step explanation:

In standard form this could be rewritten as | b - 0 | > 6, which in words, says,

"b is greater than 6 units away from 0 on a number line".  If b is greater than 6 units away, both positive 6 and negative 6 are 6 units away from 0.  Because the values we need are greater than 6 units away from 0, we are starting at both 6 and -6 and moving away from 0.  

The "greater than" symbol indicates that this is a disjunction so the word "or" is used as opposed to in a conjunction where the word "and" is used.

Therefore, our solutions are

b < -6 or b > 6, the 3rd choice down

5 0
3 years ago
Which pair are equal trig values? A) tan 45° and sin 45° Eliminate B) sin 40° and sin 50° C) sin 36° and cos 54° D) cos 65° and
ira [324]

Answer:

C

Step-by-step explanation:

note that sin x = cos(90 - x ) ← Cofunction identity

If x = 36 then 90 - x = 90 - 36 = 54

Hence sin 36° = cos 54° → C


3 0
3 years ago
In quadrant 2 , x is ? and y is ?
Bezzdna [24]
In quadrant 2, x is negative which means x < 0. Also, in quadrant 2, y is positive so y > 0.

An example point that is located in quadrant 2 is the point (-5, 8). Note how the first coordinate is -5 so x = -5 which is negative. Furthermore, the second coordinate is 8 meaning that y = 8 which is positive. 

Quadrant 2 is the quadrant on the upper left-hand side of the four quadrants on the xy coordinate system. 
5 0
3 years ago
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