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maw [93]
3 years ago
8

Factorise x squared + 4x + 3 ​

Mathematics
1 answer:
olganol [36]3 years ago
8 0
<h3>Answer:  (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

  • add to 4
  • multiply to 3

There are two ways to multiply to 3 and they are

  • 1 times 3 = 3
  • -1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

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tina divides 21.4 ounces of trail mix equally inyo 5 bags how many ounces of trail mix are in each bag
Dafna1 [17]

Answer:

4.28 ounces each

Step-by-step explanation:

21.4 divided by 5 equals 4.28

8 0
3 years ago
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after
PtichkaEL [24]

Answer:

Step-by-step explanation:

We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:

-16t^2+112t>192 We will move the constant over and get

-16t^2+112t-192>0 and when you factor this you get that

3 < t < 4

Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.

5 0
3 years ago
The measure of the complement of an angle is 14 less than half the measure of its supplement. Find the angle.
Snowcat [4.5K]

Answer:

The angle is 28.

Step-by-step explanation:

If we consider the system below (were "A"is the angle):  

A   +  [(x/2)-14] = 90       (complement)

A   +   x   = 180                 (suplement)

We can isolate "X=180 - A"  and apply this in the first equation. This way we are able to have only one variable, and w'll see that A=28.

4 0
3 years ago
If john had 2 apples and ate 1 how many would he have
AlekseyPX
Simply 2 - 1 = 1 apple
6 0
3 years ago
Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)
kifflom [539]
Alright

This equation models a circle with a center of (-2 , 3) and a radius of 9

To check the point (6,3) how far is it from the center (-2,3):

using the distance formula:
\sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8

therefore, this point lies INSIDE the circle, not on it nor outside it.

It is an interior point.
7 0
3 years ago
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