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tekilochka [14]
3 years ago
6

2 (4y + 3 + y) hellppp

Mathematics
2 answers:
Ivahew [28]3 years ago
4 0
It’s just 2 times everything in the parentheses and the. add the like terms to ge
Yanka [14]3 years ago
3 0

Answer:

10y + 6 hope this helps :)

Step-by-step explanation:

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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe
Wittaler [7]
Set the equation up as a proportion, where x = the height of the tree in feet
27/x = 4.5/5
cross multiply
(4.5)(x) = (27)(5)
(4.5)(x) = 135
divide the entire equation by 4.5 to isolate x
135/4.5 = 30
x = 30
the tree is 30 ft tall
8 0
3 years ago
1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.
hjlf

Answer:

1.

Option d is correct

2.

Option c is correct

3.

Option a is correct

4.

Option d is correct

5.

Option c is correct

Explanation:

Using exponent rule:

a^{-n} = \frac{1}{a^n}

1.

Given the expression:  

3^{-4}

Apply the exponent rules:

\frac{1}{3^4} = \frac{1}{81}

Therefore,  the value of the given expression is, \frac{1}{81}.

2.

To find the value of the expression \frac{1}{4^3}

then;

\frac{1}{4^3} = \frac{1}{64}

Therefore, the value of the given expression is, \frac{1}{64}.

3.

Find the the value of the expression \frac{2}{4^3}

then;

\frac{2}{4^3} = \frac{2}{64}

Simplify:

\frac{1}{32}

Therefore, the value of the given expression is, \frac{1}{32}.

4.

Given the expression:

K^{-3} = \frac{1}{27}

we can write this as:

K^{-3} = \frac{1}{3^3}

Apply the exponent rules:

K^{-3} = 3^{-3}

On comparing both sides we have;

K = 3

Therefore, the value of K is, 3

5.

Given the expression:

3^N= \frac{1}{81}

we can write this as:

3^N= \frac{1}{3^4}

Apply the exponent rules:

3^N = 3^{-4}

On comparing both sides we have;

N = 4

Therefore, the value of N is, -4

3 0
4 years ago
Read 2 more answers
For each of the following, select the correct words from the word bank to complete each statement.
Anuta_ua [19.1K]

Answer:

Angles opposite one another that share a vertex are called <u>vertical</u> angles.

When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are <u>congruent</u>

When two parallel lines are crossed by another line called the <u>transversal</u> the angles created inside the parallel lines but on opposite sides of the crossing lines are called <u>alternate</u> <u>interior</u> angles. Angles of this type have the same measurement as one another. Two figures are <u>similar</u> if one can fit exactly over the other after rigid transformations and dilations

Step-by-step explanation:

Vertically opposite angles are always equal (congruent)

The transversal line is the line that crosses two or more parallel lines

Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent

Two plane geometric figures are similar if they their corresponding interior angles are congruent

4 0
3 years ago
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. x-y=4
lakkis [162]

Here is the graph of x-y=4. According to this, the x intercept is (4,0), and the y intercept is (0,-4) :)

8 0
3 years ago
Read 2 more answers
HELP ME ASAP!!!
Olenka [21]

Answer:

21.6 liters

Step-by-step explanation:

40 drops make up a volume of 10 mL

Therefore, the volume of 1 drop of water = 10mL/40 = 1/4 mL= 0.25mL

Since the tap loses 1 drop of water in 1 sec, it loses 0.25mL of water in 1 second

60 seconds make up 1 second so volume of water lost in 1 minute = 0.25 x 60 = 15 mL

60 minutes make up 1 hour so volume of water lost in 1 hour = 15 x 60 = 900 mL

24 hours make up a day so volume of water lost in 1 day = 900 x 24 = 21,600 mL

Since 1000 mL make up 1 liter, divide by 1000 to get volume in liters

Volume of water lost in 1 day = 21600/1000 = 21.6 liters

Can be done as one equation

V lost in one day = 0.25 x 3600 x 24 mL = 21600 mL = 21.6 L

8 0
2 years ago
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