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3 years ago

Let the equation of a line be described by Equation A:

1 answer:

4 0

10y - 5x = 40 Add 5x to both sides
10y = 5x + 40 Divide both sides by 10
y = $\frac{1}{2}$ x + 4

The y-intercept is 4 and the slope of the line is $\frac{1}{2}$ .

You can find these by comparing your equation to the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

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What are the transformations to this quadratic function y= (x+4) power of 2 - 8

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0

2 years ago

You are given f(x)=-5x2+10x-5

Bond [772]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the common ratio for the geometric sequence? 18, 12, 8, 16/3,…

alex41 [277]

Answer:

2/3

Step-by-step explanation:

Given : A geometric sequence : 18, 12, 8, 16/3,…

Solution :

Each term is found by multiplying the previous term by a constant in a Geometric Sequence .

In a Geometric Sequence common ratio is denoted by r

$r = \frac{a_{n} }{a_{n-1} }$

for n = 2

$r = \frac{a_{2} }{a_{1} }$

⇒ $r = \frac{12 }{18 }$

⇒ $r = \frac{2 }{3 }$

for n = 3

$r = \frac{a_{3} }{a_{2} }$

⇒ $r = \frac{8 }{12 }$

⇒ $r = \frac{4 }{6 }$

⇒ $r = \frac{2}{3 }$

Thus the common ratio 'r' = 2/3

6 0

3 years ago

Read 2 more answers

12 34 516 If Z1 = 120° what is m_4

nikklg [1K]

Answer:

Whats the product of 35 × 3/5=

Step-by-step explanation:

3 0

3 years ago

How to do this question

blsea [12.9K]

This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them.
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3

r is the radius which is half of the diameter.
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]

I hope this helps

8 0

3 years ago