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3 years ago

HELP ASAP PLEASE**** For f(x)=4x+1 and g(x)=x^2-5, find (f+g)(x)

Mathematics

2 answers:

lara [203]3 years ago

8 0

Use Photomath it will probably help

polet [3.4K]3 years ago

8 0

4(x^2-5)+1 --> the answer is 4x^2 - 19

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Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

$h^{2}=y^{2} +d^{2}$ (7)

Isolating $h$ and writing with the known values:

$h=\sqrt{y^{2} +d^{2}}$ (8)

$h=\sqrt{(19.017 ft)^{2} +(119.017 ft)^{2}}$ (9)

$h=125.80 ft$ This is the distance between the kite and the house

3 0

3 years ago

Write the equation of the line fully simplified slope-intercept form.

liraira [26]

Answer:

y = $\frac{-5}{6}$ x - 2

Step-by-step explanation:

slope intercept form

y = mx + b

m = rise / run = -5 / 6

b = -2

y = $\frac{-5}{6}$ x - 2

3 0

3 years ago

The expression 6x - 3 represents the total number of stuffed animals Deena has in her collection. She decides to put the

jeyben [28]

Answer:

2x-1 (simplest)

Step-by-step explanation:

First put parentheses around 6x-3

The expression is (6x-3)/3

Simplify 2x-1

Make sure you divide both terms though (common mistake only dividing 1)

6 0

3 years ago

Can anyone help me with this problem and tell me how to solve it?

Savatey [412]

You add 0.65 to 80 and the answer is 80.65

5 0

3 years ago

I need help with #11. I've just started Trig today. The back of the book says the answer is 0.75 if that helps.

Elanso [62]

Hi,
BC²=CA²-BA²=13-9=4=2² (Pythagore)

CB/ED=AB/AD (Thalès)
2/2.5=3/AD==>AD=3*2.5/2=7.5/2
DB=DA-AB=7.5/2-3=0.75
I don't know how you call this 2 theorems (sorry)

3 0

3 years ago