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2 years ago

Dentify the initial value and rate of change for the graph shown.

Mathematics

2 answers:

sdas [7]2 years ago

7 0

Hello,

Answer B

A=(0,4)
B=(4,1)

y-4=(1-4)/(4-0)(x-0)
==>y=-3/4 x +4

Talja [164]2 years ago

4 0

reflect over y-axis, reflect over line y = 5, then 3 units left

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If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

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

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

4 0

3 years ago

I need help with this

Aliun [14]

-55+13= -42

94i -12i = 82i

answer = -42+82i

4 0

2 years ago

In AWXY, WY is extended through point Y to point Z, m_YW X = (2x + 12),

Alja [10]

Answer:

Sum of two interior angles=exterior angle

$\\ \sf\longmapsto 2x+12+2x+5=7x-1$

$\\ \sf\longmapsto 4x+17=7x-1$

$\\ \sf\longmapsto 3x=18$

$\\ \sf\longmapsto x=6$

Done!

4 0

2 years ago

What is the factored form of 9X^2-64

Maksim231197 [3]

This should be recognized as the difference of perfect squares which is of the form:

(a^2-b^2) and the difference of squares always factors to:

(a-b)(a+b) in this case:

(3x-8)(3x+8)

8 0

3 years ago

Read 2 more answers

What is 142% of 469?

arsen [322]

$\begin{array}{ccc}100\%&-&469\\\\142\%&-&x\end{array}\\\\\\cross\ multiply\\\\100x=142\times469\\\\100x=66598\ \ \ \ |divide\ both\ sides\ by\ 100\\\\\boxed{x=665.98}$

8 0

2 years ago

Read 2 more answers