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Anastasy [175]
3 years ago
7

Pls help me ik I already ask a question but I brought this book home and I had to do it

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

X: 5 Feet

Y: 9 Feet

Step-by-step explanation:

( Y represents the height of the  medium tree)

we know the height of tree x is half of the 10 ft tree so that means tree x is 5 feet tall

10 + 5 + y = 24

15 + y = 24

y = 9

Hope this helped :)

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2

Square:

\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)

Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

x(x+3)=(x+2)^2

Expand:

x^2+3x=x^2+4x+4

Isolate the <em>x: </em>

-x=4

Hence, our first term is:

x=-4

Then our common ratio <em>r</em> is:

\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

4 0
3 years ago
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function
Assoli18 [71]

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

7 0
2 years ago
What is 0.550 in fraction form simplest form +fraction​
Kipish [7]

Answer:

550/ 1000

Step-by-step explanation:

1/ 0.550.

0.550 x 1000  and 1 x 1000

=  

550/ 1000

<em>-kiniwih426</em>

7 0
2 years ago
Help asap I will give u huge amount of brainly points
Minchanka [31]

Answer:

\boxed{\sf -\dfrac{5}{8}}

Use BODMAS rule,

where:

  • brackets
  • order
  • division
  • multiplication
  • addition
  • subtraction

Given expression:

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{4} \right)^2]

simplify exponent

\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{16} \right)]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{14}{16}]

\rightarrow \sf -\dfrac{1}{5} \times [\:4-\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{32}{8} -\(\dfrac{7}{8}]

\rightarrow \sf -\dfrac{1}{5} \times [\:\dfrac{25}{8}]

multiply fractions

\rightarrow \sf -\dfrac{25}{40}

\rightarrow \sf -\dfrac{5}{8}

8 0
1 year ago
Read 2 more answers
Square of (1\4A+1\4B)^2
miskamm [114]

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

7 0
2 years ago
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