Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is

Answers

Answer 1
Answer: For any points (x1, y1) and x2, y2)
the slope od the line joining them is 
(y2-y1)/(x2-x1)

I would have say Slope = (5-1)/(1-0)= 4

so the rise = 5-1, run = 1-0

which is still 4

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Quadrilateral QRST is a square. If the measure of QR 3x-6 and TS is 6-x. Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

Since the quadrilateral QRST is a square, all sides are equal

Therefore QR must be equal to TS

3x - 6 = 6 - x

4x = 12

x = 3

Use substitution to determine whether 2 is a zero of the function. f(x)=x^(4)-4x^(3)+2x^(2)-3x+14

Answers

Answer:

x = 2 is a zero of f(x)

Step-by-step explanation:

if x = 2 is a zero of f(x) , then f(2) = 0

given

f(x) = x^(4) - 4x³ + 2x² - 3x + 14 , then

f(2) = 2^(4) - 4(2)³ + 2(2)² - 3(2) + 14

    = 16 - 4(8) + 2(4) - 6 + 14

   = 16 - 32 + 8 - 6 + 14

  = 0

since f(2) = 0 then x = 2 is a zero of f(x)

Final answer:

Using substitution, we can determine whether 2 is a zero of the given function.

Explanation:

To determine whether 2 is a zero of the function f(x)=x^(4)-4x^(3)+2x^(2)-3x+14, we can use substitution. We substitute x = 2 into the function and check if the resulting expression equals zero.

f(2) = (2)^(4)-4(2)^(3)+2(2)^(2)-3(2)+14 = 16-32+8-6+14 = 0

Since the result is zero, we can conclude that 2 is indeed a zero (root) of the function.

Learn more about Using Substitution here:

brainly.com/question/13099545

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Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is between 174 and 238? Round your answer to the nearest tenth of a percent.A. 66.9%
B. 53.3%
C. 84.0%
D. 91.0%

Answers

P(174 < x < 238) = P(x < 238) - P(x < 174) = P[z < (238 - 222)/16] - P[z < (174 - 222)/16] = P(z < 1) - P(z < -3) = 0.84134 - 0.00135 = 0.83999 or 83.999%

Answer: 84.0% to the nearest tenth.

Edie can paint a wall in 3 hours. Dan can paint the same wall in 6 hours. if they work together, how many hours will it take Edie and Dan to paint the wall?A.
1 hour

B.
1.5 hours

C.
2 hours

D.
4.5 hours

Answers

Eddie can paint 1/3 in an hour
Dan can paint 1/6 wall in an hour

2/6 + 1/6 = 1/2
Together, they can paint 1/2 wall in an hour

1/2 x 2 = 2
Therefore they would paint the whole wall in 2 hours, so the answer's C.

The product of 8 and the sum of a number m and 6 is 12.

Answers

8 (m+6) =12 is the way to write it

ABC is a straight angle.which equation can be used to find the measure of the unknown angle?

Answers

Answer:

140 x 180

Step-by-step explanation:

Final answer:

To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse.

Explanation:

To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse. In a straight angle, the two legs are equal, so the equation simplifies to A = 2A. Therefore, the measure of the unknown angle is twice the measure of one of the legs