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2 years ago

Write an equation in slope-intercept form

Mathematics

1 answer:

kumpel [21]2 years ago

7 0

Answer:

Step-by-step explanation:

Accident and I can't delete it

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How to make 3/20 a decimal

Contact [7]

3/20 as decimal = 0.15

6 0

3 years ago

Find the values of m for which the lines y=mx-2 are tangents to the curve with equation y=x^2-4x+2

deff fn [24]

Let y= mx-2 be the tangent line to y=x^2-4x+2 at x=a.

Then slope, $m=\frac{dy}{dx} at x=a = 2a-4.$

Hence the equation is y=(2a-4)x-2

Let's find y-coordinate at x=a using tangent line and curve.

Using tangent line y at x=a is (2a-4) a -2 $=2a^{2}-4a-2$

Using given curve y-coordinate at x=a is $a^{2}-4a+2$

Let's equate these 2 y-coordinates,

$2a^{2} -4a-2 = a^{2} -4a+2$

$2a^{2}-a^{2} = 2+2$

$a^{2}=4$

a=2 or -2.

If a=2, $m=2a-4 = 2*2-4=0$

If a=-2, $m= 2(-2)-4 = -8$

Hence m values are 0 and -8.

8 0

3 years ago

1) If a polynomial is divided by a binomial and the remainder is 0, what does this tell you about the relationship between the b

klemol [59]

<h2>The binomial is a factor of the polynomial.</h2>

Step-by-step explanation:

If a polynomial is divided by a binomial and the remainder is 0.

Then the binomial is a factor of the polynomial.

If a polynomial g(x) is divided by (x-a) ,it gives g(a) as remainder

Then g(x) = (x-a) Q(x) + g(a)

Hera g(a) = 0

So, g(x) = (x-a) Q(x)

It shows that (x-a) is a factor of g(x)

4 0

2 years ago

Line segment AB on the coordinate plane stretches from (1,1) to (7,9). Line segment CD stretches from (-2,3) to (2,6). What is t

ValentinkaMS [17]

Answer:

B 2:1

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this question:

The length of the segments are given by the distance between its endpoints.

Line segment AB on the coordinate plane stretches from (1,1) to (7,9).

So its length is:

$\sqrt{(7-1)^2+(9-1)^2} = \sqrt{6^2+8^2} = \sqrt{100} = 10$

Line segment CD stretches from (-2,3) to (2,6).

$\sqrt{(2-(-2))^2+(6-3)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5$

What is the ratio AB:CD of the lengths of these line segments?

10:5 = 2:1

So the correct answer is given by option B.

4 0

2 years ago

The kingston review (kr) is testing a new gmat question. the kr wants to determine what proportion of test-takers will answer th

LenKa [72]

[67.9 %, 82.1 %] is the answer when it has 95% confidence interval for the proportion of test-takers who answered the question correctly. So the 95% confidence interval for the proportion of test takers is [67.9 %, 82.1 %] who answered the question correctly, In order to random sample of 144 test-takers and 75% answered question correctly. So the answer in this question is [67.9 %, 82.1 %].

7 0

3 years ago