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2 years ago

What is the slope-intercept equation of the line below? y-intercept = (0, 2) slope = 11

Mathematics

1 answer:

den301095 [7]2 years ago

5 0

Answer:

If the slope is 11, and the y-intercept is (0, 2), the answer is: y = 11x + 2.

The picture says the slope is -1/4. The answer to the question in the picture is: y = -1/4x + 2.

Step-by-step explanation:

Slope form is

y = mx + b.

m is the slope.

b is the y value of y intercept.

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Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x +

creativ13 [48]

Answer-

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

Solution-

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

6 0

3 years ago

Read 2 more answers

Solve for x:a(a²+b²)x²+b²x-a

m_a_m_a [10]

Answer:

x = a/(a² + b²) or x = -1/a

Step-by-step explanation:

a(a²+ b²)x² + b²x - a =0

Use the quadratic equation formula:

$x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} =\dfrac{-b\pm\sqrt{D}}{2a}$

1. Evaluate the discriminant D

D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²

2. Solve for x

$\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-b^{2}\pm\sqrt{(b^{2}+2a^{2})^{2}}}{2a(a^{2} + b^{2})}\\\\ & = & \dfrac{-b^{2}\pm(b^{2}+ 2a^{2})}{2a(a^{2} + b^{2})}\\\\x = \dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}\\\\x =\dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\\end{array}$

$\begin{array}{rcl}x = \large \boxed{\mathbf{\dfrac{a}{a^{2} + b^{2}}}}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2b^{2}- 2a^{2}}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2(a^{2}+ b^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\large \boxed{\mathbf{-\dfrac{1}{a}}}\\\\\end{array}$

5 0

3 years ago

Can someone help me with this it is confusing :(

Marina CMI [18]

What are you wanting help with

7 0

2 years ago

How do you use compatible numbers to estimate the quotient $595 divided by 25

storchak [24]

Well, 25 certainly doesn't divide evenly into 595, but it does divide into 600, which is very close to 595. So if we divide 600 by 25, we can get a rough estimate of what 595 divided by 25 is.
$\frac{600}{25} = 6* \frac{100}{25} = 6* 4=24$

4 0

3 years ago

How do you find square roots? Example: Square root of 441.

Alecsey [184]

There isn't really a formula for higher numbers. you can use a calculator with the square root function

6 0

2 years ago