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Radda [10]
3 years ago
14

Complete the sentence. the roots of the equation x^2 - 8x - 48 = 0 are -4 and *blank*

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

12 is the answer.

Step-by-step explanation:

The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.

Now we will try to factorize

x² - 8x -48 = 0

Now we multiply coefficient of highest degree term and constant term

48×1 = 48 which may be factored in 12×4. 8×6, 24×2.

Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.

Now its simple.

x²-12x + 4x -48 = 0

x(x -12) + 4(x-12) = 0

(x +4)(x-12) = 0

Therefore roots are x + 4 = 0

x = -4

and x - 12 = 0

x = 12

So the answer is 12.

Likurg_2 [28]3 years ago
3 0

Answer:

12 is the answer.

Step-by-step explanation:

We have given an equation.

x²-8x-48 = 0

We have given one root of equation. We have to find the other root of equation.

We use method of factoring to solve this.

Splitting the middle term, we have

x²-12x+4x-48 = 0

Making groups, we have

x(x-12)+4(x-12) = 0

Taking (x-12) common, we have

(x-12)(x+4) = 0

Applying Zero-Product Property, we have

x-12 = 0 or x+4 = 0

x = 12 or x = -4.

Hence, the roots of the given equation are -4 and 12.

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GrogVix [38]

a) Rectangles always have 4 right angles (90 degrees), but parallelograms do not always have 4 right angles rather they can, but do not have to. Rectangles have to.

b) A square is a type of rectangle, but a rectangle is not a type of square. Both rectangles & squares have 4 right angles and are always quadrilaterals, but squares always have all sides that have the same length, but rectangles do not have to have their sides all equivalent lengths.

c) In the case of a parallelogram, the opposite sides are equal whereas in a rhombus all four sides are equal.


8 0
3 years ago
The length of a rectangle is 4 more than its width. The area of the rectangle is 21m^2 . What is the measure of the width?
saw5 [17]
Make the length x+4 and the width x  and then make a formula x(x+4)=21
then u ll get x^2+4x-21=0  and then solve for x ..... the width is 3 

5 0
3 years ago
Verda used a sensor to measure the speed of a moving car at different times. At each time, the sensor measured the speed of the
USPshnik [31]

Answer:

Option A

Step-by-step explanation:

If the speed of a car in miles per hour (m) is proportional to the speed in kilometers per hour (k),

m ∝ k

m = ck

Here, c = Proportionality constant

Therefore, c = \frac{m}{k} should be constant for each value given in the table.

For m = 11 and k = 17.699,

c = \frac{11}{17.699}

c = 0.6215

For m = 26 and k = 41.834,

c = \frac{26}{41.834}

c = 0.6215

For m = 34 and k = 54.706,

c = \frac{34}{54.706}

c = 0.6215

Therefore, c is constant for each value of m and k.

Option A will be the correct option.

4 0
3 years ago
PLEASE HELP URGENT NOW PLS
RideAnS [48]

Answer:

  • (-3, -2)

Step-by-step explanation:

Given

  • Graphed lines

To find

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As per the graph the intersection point has coordinates:

  • x = - 3, y = - 2

The point is (-3, -2)

5 0
2 years ago
Read 2 more answers
I’m lost on how to make r the subject for this equation
andriy [413]

Answer:

Step-by-step explanation:

A = πr²

Dividing by π

A/π = r²

Finding the square root of both side

√r² = √(A/π)

r = √(A/π)

7 0
2 years ago
Read 2 more answers
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