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3 years ago

What is the second step in solving this equation by completing the square 3x^2+14x+8=0

1 answer:

8 0

The second step is to keep your x terms on the left and move the constant to the right by subtracting it from both sides.

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OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such t

Neko [114]

Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

<h3>What is an Angle Bisector ?</h3>

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2 $\sqrt{3}$ = 3.46 cm from O

To know more about Angle Bisector

brainly.com/question/12896755

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4 0

2 years ago

The quotient of a number and -7 decreased by 2, is 10.

klasskru [66]

Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

$\frac{x}{(-7)}$

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

$\frac{x}{(-7)}$ – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

$\frac{x}{(-7)}$ = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!

3 0

3 years ago

The question is: Play my game, and tell me if it is good https://scratch.mit.edu/projects/510955319/

arlik [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Raj is visiting the United States and needs to convert 2,000 rupees to US dollars.

dolphi86 [110]

Raj will have 27.70 USD

4 0

3 years ago

Read 2 more answers

The Bayer family just left the local pet store with Rover, their new family dog. The pet store owner told the Bayer family that

anyanavicka [17]

Answer:

A. Complete table below

B. Graph is attached below

C. y = 7x - 10

D. 60 pounds.

Step-by-step explanation:

We are given that, Bayer would grow at an average rate of 7 pounds per month.

So, in order to complete the table, <em>we will add 7 to the weights column</em>.

Part A: Thus, we get the following table.

Age, in months 2, 3, 4, 5, 6, 7, 8

Weight, in pounds 4, 11, 18, 25, 32, 39, 46.

Part B: Since, we have the ordered pairs (x,y) given by,

(2,4), (3,11), (4,18), (5,25), (6,32), (7,39) and (8,46).

The graph is shown below.

Part C: Taking any two pairs say (2,4) and (3,11).

We get the slope is, $\frac{11-4}{3-2}$ i.e. slope is 7.

Then, y = mx + b gives, 4 = 7×2 + b i.e. b = 4-14 i.e. b = -10.

Hence, the linear model is given by 'y=7x-10', where x is the age(in months) and y is the weight(in pounds).

Part D: Now, we want to find the weight when Bayer is one year old.

Since, we have that, Bayer is already two months old.

So, we need to find weight when Bayer is 10 months old.

i.e. y=7x-10 ⇒ y = 7×10-10 ⇒ y = 70-10 ⇒ y=60

Hence, Bayer will be 60 pounds when he is one year orld.

4 0

3 years ago