Question 3 has got me lost, need help much appreciated
1 answer:
Answer:
E. a = 2
Step-by-step explanation:
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The question is asking for what the value of a is for the given polynomial.
They gave you a factor to that polynomial, (x+a), and told you that a can be any real number beside 0.
You might remember that when you factor an equation, all you're doing is finding for what value of x will give you an answer of 0.
This is what you're doing now but in reverse. You're given x+a as a factor, so you know that x=-a will make the function equal 0.
So plug x=-a into the function and solve for a. You'd find that you get a=0 and a=2; however, the question stated that a≠0, so the only answer left is a=2.
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Answer:
The equation of the line is y = x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2
Answer:
96 feet
Step-by-step explanation:
This problem requires the use of pythagorean theorem.
she walks 24 ft south + 32 ft east + = 56 +