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xz_007 [3.2K]
3 years ago
10

What is 8 3/4 - 7 1/2

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

let's firstly convert the mixed fractions to improper fractions and then subtract, bearing in mind that the LCD of 4 and 2 is 4.

\bf \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{8}\implies \stackrel{improper}{\cfrac{35}{4}}~\hfill \stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}-\cfrac{15}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)35~~-~~(2)15}{4}}\implies \cfrac{35-30}{4}\implies \cfrac{5}{4}

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Maria leaves her house and walks north for 6 blocks. She then turns and walks directly east for 8 more blocks
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Answer:

36+64=100 100 to the square root is 10

Step-by-step explanation:

I'm not giving a diagram just draw a triangle and make the base of it 8 and the length of it 6 but the diagonal part 10

It's the pythagorean theorum. a^2 + b^2 = c^2

^2= to the 2nd power. or squared.

In this case it really doesnt matter which one you label for this part of math.

so 8^2 + 6^2 = C^2 where C is the shortest distance between the houses.

and 8 and 6 were the lengths given.

64+36=100

100's square root is 10 because 10^2 is 100 or 10*10 is 100. If you dont know what squaring is.

Its multiplying something by that something once so 1 squared is 1 because its 1*1 you are multiplying it once 2 squared or 2^2 is 4 because 2*2 is 4 3 squared or 3^2 is 9 because 3*3 is 9. 4 squared is 16 because 4*4 is 16. and if you did 2 to the power of 3 of 2 cubed it would be 8 because 2*2*2 is 8.

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3 years ago
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)? A.y = x – 2
gizmo_the_mogwai [7]
Filling in the given values in point-slope equation
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What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

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Answer:

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