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4 years ago

What does quad mean in quadratic equestion ?

Mathematics

2 answers:

Dafna11 [192]4 years ago

3 0

Answer:

Though it has a degree of two and quad means four(eg:x 2-2x-3)? The Latin prefix quadri - is used to indicate the number 4,for example:quadrilateral,quadrant,etc....Quad means 4 sided square or rectangle.

spayn [35]4 years ago

3 0

Answer:

a quad is a square of four side where quadratus is Latin for square due to four side of a square

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Desperate need of help plssss help :(....please

Nat2105 [25]

Answer:

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.

Step-by-step explanation:

Sorry im late homie

3 0

3 years ago

2ᵃ = 5ᵇ = 10ⁿ. Show that n = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Ba%20%2B%20b%7D%20" id="TexFormula1" titl

11Alexandr11 [23.1K]

There are two ways you can go about this: I'll explain both ways.

Solution 1: Using logarithmic properties
The first way is to use logarithmic properties.

We can take the natural logarithm to all three terms to utilise our exponents.

Hence, ln2ᵃ = ln5ᵇ = ln10ⁿ becomes:
aln2 = bln5 = nln10.

What's so neat about ln10 is that it's ln(5·2).
Using our logarithmic rule (log(ab) = log(a) + log(b),
we can rewrite it as aln2 = bln5 = n(ln2 + ln5)

Since it's equal (given to us), we can let it all equal to another variable "c".

So, c = aln2 = bln5 = n(ln2 + ln5) and the reason why we do this, is so that we may find ln2 and ln5 respectively.

c = aln2; ln2 = $\frac{c}{a}$
c = bln5; ln5 = $\frac{c}{b}$

Hence, c = n(ln2 + ln5) = n( $\frac{c}{a}$ + $\frac{c}{b}$ )
Factorise c outside on the right hand side.

c = cn( $\frac{1}{a}$ + $\frac{1}{b}$ )
1 = n( $\frac{1}{a}$ + $\frac{1}{b}$ )
$\frac{1}{n}$ = $\frac{1}{a}$ + $\frac{1}{b}$

$\frac{1}{n}$ = $\frac{a + b}{ab}$
and thus, n = $\frac{ab}{a + b}$

Solution 2: Using exponent rules
In this solution, we'll be taking advantage of exponents.

So, let c = 2ᵃ = 5ᵇ = 10ⁿ
Since c = 2ᵃ, 2 = $\sqrt[a]{c}$ = $c^{\frac{1}{a}}$

Then, 5 = $c^{\frac{1}{b}}$
and 10 = $c^{\frac{1}{n}}$

But, 10 = 5·2, so 10 = $c^{\frac{1}{b}}$ · $c^{\frac{1}{a}}$
∴ $c^{\frac{1}{n}}$ = $c^{\frac{1}{b}}$ · $c^{\frac{1}{a}}$

$\frac{1}{n}$ = $\frac{1}{a}$ + $\frac{1}{b}$
and n = $\frac{ab}{a + b}$

4 0

3 years ago

Through (1,-6) parallel to the line x + 2y = 6

MakcuM [25]

Hello!

To find the line parallel to the line x + 2y = 6 and passing through the point (1, -6), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.

Since the given equation is written in standard form, we will need to change it to slope-intercept form to get the slope. Slope-intercept form is: y = mx + b.

x + 2y = 6 (subtract x from both sides)

2y = 6 - x (divide both sides by 2)

y = 6/2 - x/2

y = -1/2x + 3 | The slope of parallel lines are -1/2.

Since we are given the slope, we need to find the y-intercept of the line that goes through the point (1, -6) by substituting that point into a new equation with a slope of m equalling to -1/2.

y = -1/2x + b (substitute the given point)

-6 = -1/2(1) + b (simplify - multiply)

-6 = -1/2 + b (add 1/2 to both sides)

b = -11/2 | The y-intercept of the parallel line is -13/2.

Therefore, the line parallel to x + 2y = 6 and goes through the ordered pair (1, -6) is y = -1/2x + -11/2.

8 0

3 years ago

Clara has a purse in the shape of a trapezoid the top of the purse measures 22 cm while the bottom of the part measures 36 cm if

pashok25 [27]

The height of purse which is in trapezoid shape is 26 cm

Solution:

Clara has a purse in the shape of a trapezoid

The area of trapezoid is given by formula:

$Area = \frac{a+b}{2} \times h$

Where,

"h" is the height

"a" and "b" are the parallel sides length

From given,

Area = 754 cm

a = 22 cm

b = 36 cm

h = ?

Substituting the values in formula,

$754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26$

Thus height of purse which is in trapezoid shape is 26 cm

8 0

3 years ago

Drow two different rectilinear shapes each with an area of 6 squares.

ArbitrLikvidat [17]

Answer:

We can draw a rectangle and a square.

First the square:

The area of a square of sidelength L is:

A = L^2

So if the area of this square must be 6 square units, we get:

6 square units = L^2

L = √(6 square units) = 2.45 units

Now for a rectangle, we know that for a rectangle of length L and width W, the area is:

A = L*W

Now let's give the width a value of 1 unit, then W = 1unit

A = L*1 unit

And we know that the area must be of 6 square units, then:

6 square units = L*1 unit

(6 square units)/(1 unit) = L

(6 units) = L

The drawings (these are not exact ones, i'm doing them with a mouse) of the images can be seen below.

7 0

3 years ago