All categories

2 years ago

The roots of the equation x2 - 14x + 48 = 0) are

Mathematics

1 answer:

MrRissso [65]2 years ago

5 0

Answer:

${x}^{2} - 14x + 48 = 0 \\ {x}^{2} - 6x -8 x + 48 = 0 \\ x(x - 6) - 8(x - 6) = 0 \\ (x - 6)(x - 8) = 0 \\ \boxed{ x = 6\: and \: 8}$

4) 6 and 8 is the right answer.

You might be interested in

Parallel / Perpendicular Practice

deff fn [24]

The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line

Neither
║
Neither
⊥
║
Neither
Neither
Neither

Reason:

The slope and intercept form is the form y = m·x + c

Where;

m = The slope

Two equations are parallel if their slopes are equal

Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are; $m_1 = -\dfrac{1}{m_2}$

1. The given equations are in the slope and intercept form

$\ y = 3 \cdot x + 1$

The slope, m₁ = 3

$y = \dfrac{1}{3} \cdot x + 1$

The slope, m₂ = $\dfrac{1}{3}$

Therefore, the equations are neither parallel or perpendicular

Neither

2. y = 5·x - 3

10·x - 2·y = 7

The second equation can be rewritten in the slope and intercept form as follows;

$y = 5 \cdot x -\dfrac{7}{2}$

Therefore, the two equations are parallel

3. The given equations are;

-2·x - 4·y = -8

-2·x + 4·y = -8

The given equations in slope and intercept form are;

$y = 2 -\dfrac{1}{2} \cdot x$

Slope, m₁ = $-\dfrac{1}{2}$

$y = \dfrac{1}{2} \cdot x - 2$

Slope, m₂ = $\dfrac{1}{2}$

The slopes

Therefore, m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

The lines are Neither parallel nor perpendicular

Neither

4. The given equations are;

2·y - x = 2

$y = \dfrac{1}{2} \cdot x +1$

m₁ = $\dfrac{1}{2}$

y = -2·x + 4

m₂ = -2

Therefore;

$m_1 \neq -\dfrac{1}{m_2}$

Therefore, the lines are perpendicular

5. The given equations are;

4·y = 3·x + 12

-3·x + 4·y = 2

Which gives;

First equation, $y = \dfrac{3}{4} \cdot x + 3$

Second equation, $y = \dfrac{3}{4} \cdot x + \dfrac{1}{2}$

Therefore, m₁ = m₂, the lines are parallel

6. The given equations are;

8·x - 4·y = 16

Which gives; y = 2·x - 4

5·y - 10 = 3, therefore, y = $\dfrac{13}{5}$

Therefore, the two equations are neither parallel nor perpendicular

Neither

7. The equations are;

2·x + 6·y = -3

Which gives $y = -\dfrac{1}{3} \cdot x - \dfrac{1}{2}$

12·y = 4·x + 20

Which gives

$y = \dfrac{1}{3} \cdot x + \dfrac{5}{3}$

m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

Neither

8. 2·x - 5·y = -3

Which gives; $y = \dfrac{2}{5} \cdot x +\dfrac{3}{5}$

5·x + 27 = 6

$x = -\dfrac{21}{5}$

Therefore, the slopes are not equal, or perpendicular, the correct option is Neither

Learn more here:

brainly.com/question/16732089

6 0

3 years ago

Iris tenía cierta cantidad de dinero por su cumpleaños su mamá le dio 20 soles después tu papá le dio el triple de lo que ya ten

Alisiya [41]

Resultado:

${ \: \: \: \: \: \: \: \: \: \Rightarrow 20 + 60 + 80 = 160}$

$\: \: \: \: \: \: \: \: \: \sf \Rightarrow20+60+80=160$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow160 - 100 = 60}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \Rightarrow160−100=60$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow100 - 60 = 40}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow100−60=40}$

$\: \: \: \: \: \: \sf \Rightarrow60 + 40 + 100 = 200$

$\: \: \: \: \: \: \: { \sf \Rightarrow60+40+100=200}$

$\bf\green{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Answer :}$

Iris al principio tenía 40 soles.

Espero que te sirva, salu2!!!!

3 0

2 years ago

Read 2 more answers

Helppppppppppppppppppp

nignag [31]

I think it’s the fourth one!!

6 0

3 years ago

Find the area of the composite shape below. help to get sum coin

enot [183]

Answer:

Composite Area = 1105.94

Step-by-step explanation:

Remark

The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.

Width

2*radius = width

width = 2 * 11

width = 22

Area of the circle

Area = pi * r^2

r = 11

Area = 3.14 * 11^2

Area = 3.14 * 121

Area = 379.94

Area of the rectangle

Area = L * W

L = 33

W = 22

Area = 33 * 22

Area = 726

Total Area

Total Area = Area of Rectangle + Area of the Circle

Total Area = 726 + 379.94 = 1105.94

3 0

3 years ago

Marsia will make a frame for her picture the length of the picture is 15 inches the width is 1/3 of the length how much wood doe

marysya [2.9K]

She needs 40 inches total. Hope it helps!

6 0

3 years ago