Answer:
32
Step-by-step explanation:
1,024 will be a perfect square if it is the product of 2 of the same numbers:
Calculate the square root of 1024:

= 32
So, the number is 32
Answer:
ZX
Step-by-step explanation:
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Alright, lets get started.
Suppose the original deck size: width = x feet
the width is one-fourth the length given in question means length = 4 x feet
Means the originally area = 
Now the dimensions are changed.
New dimensions, width = (x + 6)
new length = (4x+10)
So, new area will be = 
the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

Subtracting
from both sides

Subtracting 60 from both sides


Dividing 34 in both sides


Means width = 2 feet
Length would be = 4 time width = 4 * 2 = 8 feet
Means dimension of original deck would be = 2 feet and 8 feet :Answer
Hope it will help :)
Answer:
60 degrees
Step-by-step explanation:
because two inner angles equals the opposite side's outer angle, we can do this
3y + 13 + 4y = 118
we combine like terms
7y + 13 = 118
subtract
7y = 105
and then divide
y = 15
then we do the equation for A's angle
4(15) = 60