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1 year ago

I am trying to figure out how to simplify this problem .

Mathematics

2 answers:

PIT_PIT [208]1 year ago

7 0

Answer:

Step-by-step explanation:11+12/square root of 16

11+(12/4)

11+3

answer is 14

Mashutka [201]1 year ago

7 0

Answer: 5.75

Step-by-step explanation:

(11 + 12)/ $\sqrt{16}$
According to the order of operations, we start with the square root of 16, which is 4. So:

(11 + 12)/4

Before dividing the numerator by 4, we need to add 11 and 12:
11 + 12 = 23

And 23/4 = 5.75

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F(x)=(x+1)(x-5) find all the critical points <br>

adoni [48]

I don't know what you mean by "critical points". However, I'm going to list all the important points in this equation-

x intercepts: (-1 ,0) and (5,0)

vertex: (2,-9)

y intercept: (0,-5)

Hope this helps!

4 0

2 years ago

Suppose that you need to build as many chairs as possible. Each chair requires one seat, one back, and four legs. If you have 12

GrogVix [38]

Answer:

legs limit the number of chairs that can be built

Step-by-step explanation:

The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.

seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.

6 0

2 years ago

. Given ????(5, −4) and T(−8,12):

damaskus [11]

Answer:

a) $y=\dfrac{13x}{16}-\dfrac{129}{16}$

b) $y = \dfrac{13x}{16}+ \dfrac{37}{2}$

Step-by-step explanation:

Given two points: $S(5,-4)$ and $T(-8,12)$

Since in both questions,a and b, we're asked to find lines that are perpendicular to ST. So, we'll do that first!

Perpendicular to ST:

the equation of any line is given by: $y = mx + c$ where, m is the slope(also known as gradient), and c is the y-intercept.

to find the perpendicular of ST <u>we first need to find the gradient of ST, using the gradient formula.</u>

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

the coordinates of S and T can be used here. (it doesn't matter if you choose them in any order: S can be either x_1 and y_1 or x_2 and y_2)

$m = \dfrac{12 - (-4)}{(-8) - 5}$

$m = \dfrac{-16}{13}$

to find the perpendicular of this gradient: we'll use:

$m_1m_2=-1$

both $m_1$ and $m_2$ denote slopes that are perpendicular to each other. So if $m_1 = \dfrac{12 - (-4)}{(-8) - 5}$ , then we can solve for $m_2$ for the slop of ther perpendicular!

$\left(\dfrac{-16}{13}\right)m_2=-1$

$m_2=\dfrac{13}{16}$ :: this is the slope of the perpendicular

a) Line through S and Perpendicular to ST

to find any equation of the line all we need is the slope $m$ and the points $(x,y)$ . And plug into the equation: $(y - y_1) = m(x-x_1)$

side note: you can also use the $y = mx + c$ to find the equation of the line. both of these equations are the same. but I prefer (and also recommend) to use the former equation since the value of 'c' comes out on its own.

$(y - y_1) = m(x-x_1)$

we have the slope of the perpendicular to ST i.e $m=\dfrac{13}{16}$