Answer:
Step-by-step explanation:
By FOIL method,
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2 answers:
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Answer:
Each of the legs of isosceles right triangle is 5
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have
2) Let BC=a and CA=a as they both are equal
So,
=>
=>
=> (since √6*√6 = (√6)²= 6)
=>
3) Dividing both sides by 2, we get
4) Cancelling out the 2's on the left, we get
= 75
5) Taking the square root on both sides, we have
=> a = 5
So,
Each of the legs of isosceles right triangle is 5
Answer:
y = 3x - 7
Step-by-step explanation:
The <em>point-slope formula</em> for a straight line is
y – y₁ = m(x – x₁)
x₁ = 4; y₁ = 5; m = 3 Substitute the values
y – 5 = 3(x - 4) Remove parentheses
y – 5 = 3x - 12 Add 5 to each side
y = 3x - 7
The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.
