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2 years ago

What is the line that goes through (-5,1) and perpendicular to y= 5/4x + 3

Mathematics

1 answer:

lesya [120]2 years ago

5 0

Sorry just commenting for something

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Factorise x squared + 4x + 3

olganol [36]

<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)

8 0

2 years ago

If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day with a half-hour break for l

kaheart [24]

The factory made 950 mousetraps

7 0

3 years ago

What is<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20" id="TexFormula1" title=" \sqrt{81} " alt=" \sqrt{81} " align

azamat

Answer:

$\: \sqrt{81 } = 9$

Step-by-step explanation:

$\sqrt{81 } = \sqrt{3 \times 3 \times 3 \times 3} \\ = 3 \times 3 \\ =9$

You have to prime factorise 81 and then you will get <u>9</u> as the answer.

8 0

2 years ago

Read 2 more answers

Pleaseeee pleaseee help mee with precal...One root of 2x2 + 8x + c = 0 is r1 = 1 + √5. Find r2.

igomit [66]

If a root is a+√b then another is a-√b because of quadatic formula

r2=1-√5

6 0

3 years ago

Read 2 more answers

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has

Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

<em>The surface area of the square is 4 square inches</em>

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

$SA = \frac{1}{2} *B*H$

To find 2 triangles, we will do:

$SA = B*H$

But to find 4 triangles in just 1 step, we will do:

$SA=2*B*H$

Let's do it!

$SA = 2*2*5\\=2*10\\=20$

<em>The surface area of the 4 triangles are 20 square inches</em>

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

4 0

1 year ago