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3 years ago

Factorising quadratics 2nd page

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

A^2-b^2=(a+b)(a-b)

1: x^2-4=(x+2)(x-2)
2: (x+8)(x-8)
3: (x+10)(x-10)
4: (x+14)(x-14)

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The length of a board is 55 inches. The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece.

photoshop1234 [79]

<h3>The length of longer piece is 30 inches</h3>

<em><u>Solution:</u></em>

Let "x" be the length of longer piece

Let "y" be the length of shorter piece

<em><u>The length of a board is 55 inches</u></em>

Therefore,

x + y = 55 -------- eqn 1

<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>

Therefore,

x = 5 + y ------- eqn 2

Substitute eqn 2 in eqn 1

5 + y + y = 55

2y = 55 - 5

2y = 50

Substitute y = 25 in eqn 1

x + 25 = 55

x = 55 - 25

Thus the length of longer piece is 30 inches

5 0

3 years ago

Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det

Viktor [21]

Answer:

x = $\frac{59}{5}$

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

$Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})$

(7,-3) = $(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )$

(7,-3) = $(\frac{5x+32}{13}, \frac{5y+16}{13})$

Now

7 = $\frac{5x+32}{13}$

5x+32 = 91

x = $\frac{59}{5}$

and

$-3 =\frac{5y+16}{13}$

5y + 16 = -39

y = -11

That's the final answer.

8 0

3 years ago

Identify the independent and dependent variables for this study. The independent variable is the ratio of students to faculty us

Degger [83]

Answer:

<u>-The independent variable is whether the motivational signs were posted, and the dependent variable is the amount of use of the stairs.</u>

<u>-Nominal scale. </u>

Step-by-step explanation:

<u>Independent variable:</u> In research methods, the term "independent variable" is described as the variable that is being altered, manipulated, or changed by an investigator to see its effects on the dependent variable in specific research or experiment.

<u>Dependent variable: </u>In research methods, the term "dependent variable" is described as the variable that is being measured, analysed, or tested in an experiment by the experimenter or researcher. The dependent variable is being directly affected by the independent variable.

<u>Nominal scale:</u> In research methods, the term "nominal scale" is determined as one the different measurement scales in which a specific number is being served as labels or tags only and to classify and identify an object.

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3 years ago

Which graph shows y < x2 + 1?<br> c.

MAVERICK [17]

Answer:

Its minecraft duh

Step-by-step explanation:

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3 years ago

I'm really stupid sorryyyyyyyyyyyyyy<br> what is 4 x 10?

katovenus [111]

Answer:

your answer would be 40.

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3 years ago

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