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Drupady [299]
3 years ago
11

3/4X - 9 = 27 what does x equal?

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0

Answer:X = 48

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

maksim [4K]3 years ago
4 0
Answer=

x= 48

Step by step=

3/4x -9+9=27+9
3/4x= 36
Step 2, Multiply both sides by 4/3
(4/3) • (3/4x)= (4/3)•(36)
x=48
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She tipped the waitress $11.58
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3 years ago
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A parabola can be drawn given a focus of ( - 8,0) and a directrix of y= - 2 What can be said about the parabola?
Tcecarenko [31]

Answer:

The equation of the parabola is:

y

=

1

32

x

2

Explanation:

Please notice that we know that the parabola opens upward or downward, because the directrix is a horizontal line:

y

=

−

8

This tells use that the equation of the parabola of the form:

y

=

f

(

x

)

Not

x

=

f

(

y

)

.

Furthermore, we can see that it must open upward, because the y coordinate of the focus is above the directrix.

The vertex has the same x coordinate as the focus:

x

=

0

And its y coordinate is halfway between the focus and the directrix:

y

=

8

−

8

2

=

0

Therefore the vertex is

(

0

,

0

)

Use the vertex form of the equation of a parabola that opens upward or downward:

y

=

a

(

x

−

h

)

2

+

k

where the vertex is the point

(

h

,

k

)

.

Substitute the vertex into the equation:

y

=

a

(

x

−

0

)

2

+

0

Simplify:

y

=

a

x

2

The distance, f, from the vertex to the focus is,

f

=

8

; this allows use to find the value of

a

, using the equation:

a

=

1

4

f

a

=

1

32

The equation of the parabola is:

y

=

1

32

x

2

Step-by-step explanation:

7 0
3 years ago
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degre
ladessa [460]

The height of the triangle is 8root3 meters.

We have given that,

A tree breaks due to a storm and the broken part bends,

So that the top of the tree touches the ground making an angle of 60 degrees with the ground.

The distance between the feet of the tree to the point where the top touches the ground is 16m.

Let the Height of the Tree =AB+AD

and given that BD=8 m

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.

Now, in △ABD

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the same triangle

tan(30)=AB/BD\implies 8/\sqrt{3}

<h3>What is the height of the triangle?</h3>

Height of the tree=AB+AD

=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }

=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m

Therefore the height of the triangle is 8root3.

To learn more about the height visit:

brainly.com/question/12903285

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4 0
3 years ago
In ΔEFG, g = 12 inches, e = 55 inches and ∠F=75°. Find the area of ΔEFG, to the nearest square inch.
Anvisha [2.4K]

Answer:

319

Step-by-step explanation:

\text{Area of a Triangle}\rightarrow \text{S.A.S.}

Area of a Triangle→S.A.S.

\text{Area}=\frac{1}{2}ab\sin C

Area=

2

1

​

absinC

From reference sheet.

\text{Area}=\frac{1}{2}(12)(55)\sin 75

Area=

2

1

​

(12)(55)sin75

Plug in values.

\text{Area}\approx318.756\approx 319

Area≈318.756≈31

7 0
3 years ago
How do solve 4v-13-10v=12-24v+5
yaroslaw [1]
You get all the v's on one side by adding 24v to both sides
4v-13-10v = 12-24v +5
+24v +24v
And then you would get
4v-13-10v+24v = 12+5
Then combine like terms
18v-13=17
Then you would get v alone by adding 13 to both sides
18v-13= 17
+13 +13
That would give you
18v=30
Then divide both sides by 18 to get your final answer
18v = 30
/18 /18
Your final answer is...
V=1.66
7 0
3 years ago
Read 2 more answers
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