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3 years ago

Please answer with steps shown. Thanks!

Mathematics

1 answer:

maks197457 [2]3 years ago

3 0

Answer: q = 40

Step-by-step explanation:

Given the quadratic formula as

x = [-b +/-√(b^2 -4ac)]/2a

b = -14

a = 1

c = q

Difference d between the two roots.

d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a

d = 2√(b^2 -4ac)/2a

d = √(b^2 -4ac)/a

And d = 6

Substituting the values of a,b and c. We have;

6 = √[(-14^2) - (4×1×q)]

Square both sides

6^2 = 196 - 4q

4q = 196 - 36

q = 160/4

q = 40

The equation becomes

x^2 - 14x + 40 = 0

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2 years ago

Write an equation of the line that passes through the given points. (-1,5) and (2, - 7)

Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

Step(i):-

Given points are (-1,5) and ( 2,-7)

Slope of the line

$m =\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{-7-5}{2-(-1)} = \frac{-12}{3} = -4$

slope of the line m = -4

Step(ii):-

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

$y - y_{1} = m( x-x_{1} )$

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

Final answer:-

The equation of the straight line is 4x +y = 1

6 0

2 years ago

What is the average rate of change for the line shown in the graph

kompoz [17]

Answer:

The average rate of change is 10.

Step-by-step explanation:

Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.

First, you can start by using the $\frac{y_2-y_1}{x_2-x_1}$ method.

Plug in the points (0,10) and (1,20).

$\frac{20-10}{1-0} =\frac{10}{1} =10$

Therefore your answer is 10.

Hope this helped!

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2 years ago

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Answer:

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3 0

2 years ago

Read 2 more answers

What is the slope-intercept equation of a line with a slope of 3/4 and a y-intercept of 4.

igor_vitrenko [27]

Answer:

Equation: y - 3x/4 + 4

Step-by-step explanation:

using the formula: