<h2>
Answer: <em>x = 7.5</em></h2>
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Step-by-step explanation:
Use the Pythagorean Theorem ( 
)
The longest side is <em>c = the hypotenuse</em>, and <em>a and b = the other sides</em> of the triangle.
a = 4 First: 
b = x Second: 
c = 8.5 Third: 
Fourth: 
Fifth: x = 7.5
Is means equal in mathematics
of means multiplication
and if we are solving for x then we can translate your equation to:
Simplifying that more, we get:
And your final answer is:
Answer:
3x + 5y = 1
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = 
= - 
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, - 1), then
- 1 = - 
+ c ⇒ c = - 1 + = 
y = - x + ← in slope-intercept form
multiply all terms by 5
5y = - 3x + 1 ( add 3x to both sides )
3x + 5y = 1 ← in standard form
First find the gradient of line AB
14--3/7--10
17/17 = 1
As CD is perpendicular to AB take the negative reciprocal of the gradient to AB to find gradient of CD
Gradient of CD = -1
to find y intercept use points given
12=(-1 x 5) +c
17 = c
C is the y intercept so for question 1 the answer is 3
for the second question just plug values into the equation and see if you get the right y value
Here the only number that works is -2
for question 2
the answer is 2
26 Square Inches.
If you find the area of the two missing fragments, which are 3 in. by 4 in., you can make the equation 2(3 x 4)= 24. Find the area of the whole 5 in. by 10 in. which is equal to 50 in. Subtract 24 from 50 and you get 26.
