.5 times four is 3 plus one quarter is 2.33 times 4 is 9.32 plus 75 is 10.07plus 24 is 24.07 then 32 and answer is 56.07
Answer:
A
Step-by-step explanation:
(x-4)^2=5
(x-4)(x-4)=5
x(x-4)-4(x-4)=5
distribute
x^2-4x-4x+16=5
combine like terms
x^2-8x+16=5
move terms to the left and combine
x^2-8x+11=0
use the quadratic formula and simplify
x=-(-8)+/-2 to the square roots of 5 over 2
separate and solve
x=4+ square root of 5
x=4- square root of 5
ANSWER: x=4+/- square root of 5
Answer:
2/3
Step-by-step explanation:
Calculators help :)
Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.
Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...
Working backwards to find angle bca, we use the inverse tangent function:
arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.
Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
- m is the slope of the lne
- (x1, y1) is any point on the line.
- Given the equation y = 3/2x + 1, the slope of the line is 3/5
- The s<u>lope of the line perpendicular</u> is -5/3
Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
Learn more on equation of a line here:brainly.com/question/19417700
