Write the equation 0.3x^2+5x-7=0 in standard form and then choose the value of “b”

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Answer:

b = 5

Step-by-step explanation:

The given equation is :

$0.3x^2+5x-7=0$ .......(1)

It is in the form of quadratic equation. The general form of a quadratic equation is as follows :

$ax^2+bx+c=0$ .....(2)

Comparing equations (1) and (2), we get :

a = 0.3, b = 5 and c = -7

Hence, the value of b is equal to 5.

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Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

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3 years ago

the chumas family is driving from north carolina to california on vacation. They drive 330 in 5.5 hours How many hours would it

spin [16.1K]

An easy way is to work out their speed. Speed = distance/time.

First part: Speed = 330/5.5 = 60 mph

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3 years ago

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Solve this rational equation 1/x-4 + x/x-2 = 2/x^2-6x+8

sammy [17]

Answer:

one solution : x = -1

Step-by-step explanation:

look this solution :