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Sergio039 [100]
3 years ago
14

Expand & simplify: (x + 1)(x + 3)

Mathematics
2 answers:
Sindrei [870]3 years ago
5 0

Answer:

368

Step-by-step explanation:

Romashka [77]3 years ago
4 0

Answer:

x squared+ 4x + 4

Step-by-step explanation:

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Pleas help me find the answer and show the work to this question
lions [1.4K]

Answer:

Leg\ 1 = 8

Leg\ 2 = 15

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

Hyp^2 = Adj^2 + Opp^2

In this case:

17^2 = x^2 + (2x- 1)^2

Open Bracket

17^2 = x^2 + 4x^2- 2x-2x + 1

17^2 = 5x^2 - 4x + 1

289= 5x^2 - 4x + 1

Collect Like Terms

5x^2 - 4x + 1 - 289 = 0

5x^2 - 4x - 288 = 0

Solving using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

So:

x = 8 or x = -7.2

Since, x can't be negative, then:

x = 8

One of the leg is:

Leg\ 1 = x

Leg\ 1 = 8

Leg\ 2 = 2x - 1

Leg\ 2 = 2*8 - 1

Leg\ 2 = 16 - 1

Leg\ 2 = 15

6 0
2 years ago
Find the equation of the line passing through points (-4,2) and (1,-6)
anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0
2 years ago
A stunt plane ended a maneuver 700 feet above the top of a skyscraper, after starting 300 feet above the top of that same skyscr
satela [25.4K]
400 ft  decrease in altitude <span />
6 0
3 years ago
What would happen if a proton were added to the nucleus of the atom? (Check all
Hunter-Best [27]

Answer:

A. It would become a different atom.

C. Its charge would increase by 1

Step-by-step explanation:

Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number. So, adding or removing protons from the nucleus changes what element that atom is! For example, adding a proton to the nucleus of an atom of hydrogen creates an atom of helium.

5 0
3 years ago
What is the area of the circle?
Tanzania [10]
Area = \pi * r^2
= \pi * 1.8^2
= 10.1787602m^2
6 0
3 years ago
Read 2 more answers
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