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2 years ago

What will be the linear equation for the shown table?

Mathematics

1 answer:

vladimir1956 [14]2 years ago

3 0

Answer:

y=2x+5

Step-by-step explanation:

To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)

So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2

Slope = 2, now find b

So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5

Put it all together y = 2x + 5

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Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

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2 years ago

7. The dimensions of a lawn shaped like a trapezoid are given in meters.

Veronika [31]

Answer:D:102

Step-by-step explanation:

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2 years ago

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Carolyn watched two movies with her brother. They watched the first movie from 1:38 p.m. to 2:55 p.m. and the second movie from

Olegator [25]

Answer:

They watched movies for 2 hours and 52 minutes.

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2 years ago

What is the value of a over 6 plus 3 if a=48

AlexFokin [52]

Hello there!

By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.

For the three outside the fraction,

(a / 6) + 3
(48 / 6) + 3
8 + 3
= 11

Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.

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3 years ago

After going through this module, you are expected to:

Svetach [21]

Answer:

See below

Step-by-step explanation:

<u>Number of squares:</u>

1x1 squares = 8*8
2x2 squares = 7*7
3x3 squares = 6*6
4x4 squares = 5*5
5x5 squares = 4*4
6x6 squares = 3*3
7x7 squares = 2*2
8x8 square = 1

<u>Total number:</u>

8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
204

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2 years ago

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What will be the linear equation for the shown table?​

What will be the linear equation for the shown table?