Answer:
27.86 cm
Step-by-step explanation:
use a^2+b^2=c^2
plug in 10 to a and 26 to b
so
10^2+26^2=c^2
then simplify
100+676=c^2
776=c^2
then find the square root of 776 which is 27.856... cm
this can be simplified to 27.86 cm
change it to 28 cm if your teacher wants it rounded to the whole number
Answer:

m = -1
b = 5
Step-by-step explanation:
Hello!
Slope - Intercept Form: 
<h3>Slope</h3>
The slope of the line is the rate of change, or how the graph changes in y as it changes in x.
Slope can be calculated by the formula: 
We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).
Calculate Slope
The slope is -2.
<h3>Y-intercept</h3>
The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.
The intersection happens at point (0,5), so the y-intercept is 5.
<h3>Equation</h3>
We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.
Equation: 
You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>
<em />
Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4

x =6
Hence, you will need 6 cups of sugar.
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035