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2 years ago

Solve 5x2 + 13x + 6 = 0

Mathematics

1 answer:

Ede4ka [16]2 years ago

7 0

Answer:

x = - 2, x = - $\frac{3}{5}$

Step-by-step explanation:

Given

5x² + 13x + 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 6 = 30 and sum = + 13

The factors are + 10 and + 3

Use these factors to split the x- term

5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )

5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(5x + 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - $\frac{3}{5}$

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2 years ago

9 A rectangle of perimeter 42 cm is

lianna [129]

Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

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2 years ago

It takes Andrew 720720720 seconds to take a shower. He spends an additional 420420420 seconds eating breakfast. How many minutes

Brilliant_brown [7]

Answer: 19 minutes

Step-by-step explanation:

Here is the complete question:

takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.

How many minutes does it take Andrew to take a shower and eat breakfast?

From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:

= 720 seconds + 420 seconds

= 1140 seconds

We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,

1140 seconds = 1140/60

= 19 minutes

Andrew uses 19 minutes to take a shower and eat breakfast.

7 0

2 years ago

Need to find volume, step by step explanation pls

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0

2 years ago

Find the slope given the following ordered 2,-3 and 6,-13

saw5 [17]

You would have to use this equation : y2-y1/x2-x1 = slope

So it would be -13 +3/6-2= -10/4

Simplify it and you get : -5/2

Slope is -5/2

7 0

2 years ago

Read 2 more answers