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3 years ago

I need help please!

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Answer:

$\Huge \boxed{y=3x+6}$

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

The two points from the graph are (1, 9) and (2, 12).

Plugging in the values and evaluating.

$\displaystyle m=\frac{12-9}{2-1}$

$\displaystyle m=\frac{3}{1}$

$m=3$

The slope of the line is 3.

The y-intercept of the line is where the line cross the y-axis.

The line crosses the y-axis at (0, 6).

$b=6$

The slope-intercept form of the line is:

$y=3x+6$

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Find the area of the parallelogram with vertices: (2,2,0),(5,3,0),(4,7,0),and(7,8,0).

PtichkaEL [24]

Answer:

13 square units

Step-by-step explanation:

Let the vertices of parallelogram are

A(2,2,0),B(5,3,0),C(4,7,0) and D(7,8,0)

Side AB= $B-A=-=$

Side AD=D-A= $-=$

We know that

Area of parallelogram=Magnitude of product of adjacent sides

$AB\times AD=\begin{vmatrix}i&j&k\\3&1&0\\5&6&0\end{vmatrix}$

$AB\times AD=$

$\mid AB\times AD\mid=\sqrt{x^2+y^2+z^2}$

$\mid AB\times AD\mid=\sqrt{0+0+(13)^2}$

Where x=Component along x-axis

y=Component along y- axis

z=Component along z-axis

$\mid AB\times AD\mid=13$ Square units

Hence, the area of parallelogram=13 square units

8 0

3 years ago

Find a polynomial with a degree of 3 and zeros -3,3,5

Aliun [14]

Answer:

f(x) = x³ - 5x² - 9x + 45

Step-by-step explanation:

Given x = a, x = b are the zeros of a polynomial, then

(x - a), (x - b) are the factors and f(x) is the product of the factors.

Here the zeros are x = - 3, x = 3 and x = 5, thus

(x + 3), (x - 3) and (x - 5) are the factors and

f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL

= (x² - 9)(x - 5) ← distribute

= x³ - 5x² - 9x + 45

6 0

4 years ago

What is the first step to solve the equation A. Square both sides of the equation. B. Add 5 to both sides of the equation. Squar

jekas [21]

Hi :)

I'd start by adding 5 to both sides of the equation. That would make the equation easier.

$\boldsymbol{\sqrt{2x}-5=3}}$

$\boldsymbol{\sqrt{2x}=2}$

The next step is to get rid of the radical sign.

Which operation will undo the square root? Squaring.

So that's why we square both sides:

$\boldsymbol{2x=4}$

And Now we just divide both sides by 2

$\boldsymbol{x=2}$

~ $\textit{\textbf{Learn More; Work Harder}}$ ~

:)

8 0

2 years ago

What is the sum of the greatest number and least number formed by the digits 4,7,0and 9

yawa3891 [41]

Answer:

13819

Step-by-step explanation:

The biggest number is :9740

The smallest number is :4079

Sum means addition so...

9470 + 4079 = 13819

6 0

3 years ago

Which sequence below represents an exponential sequence? A) {2, 6, 10, 14, 18,...} B) {3, 5, 9, 16, 24,...} C) {4, 8, 24, 96,...

Flura [38]

Answer:d

Step-by-step explanation:

Clearly from observation option D is the exponential sequence

256,64,16,4 is decreasing exponential function

$\Rightarrow \frac{256}{64}=\frac{4^4}{4^3}=4$

$\Rightarrow \frac{64}{16}=4$

for other option they simply follow an AP

2,6,10,14,18

common difference d=4

7 0

4 years ago