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Furkat [3]
2 years ago
7

What is the length of AB—?

Mathematics
2 answers:
Bond [772]2 years ago
7 0

Answer:

56

Step-by-step explanation:

Since ABCD is a parallelogram, AB= DC

4y=(y+42)

Simplifying the equation

3y=42

Divide 3 on both sides, to get y

y=14

AB =4y = 4\times14

              =56

Citrus2011 [14]2 years ago
7 0
Ab=4y=4 x 14
=56
Ab=DC
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-3x-4=-13 solve inequality plz show work!
Lady bird [3.3K]
Hello Again!

What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...

-3x=9

You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...

x=-3

Your answer is x=-3

I hope this helps


6 0
2 years ago
Read 2 more answers
You want to deposit $12,000 in a bank at an interest rate of 8 percent per year. What is the future value of this money after fi
tamaranim1 [39]
The answer is $16,800.
4 0
3 years ago
For each value of y, determine whether it is a solution to -2y+75-5.<br> Is it a solution?
ser-zykov [4K]

Answer:

• No

• Yes

• Yes

• No

Step-by-step explanation:

To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.

-2y +7≤ -5

Subtract 7 on both sides:

-2y≤ -5 -7

-2y≤ -12

Divide by -2 on both sides:

y≥ 6

This means that the solution can be 6 or greater than 6.

-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.

_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

-2y +7≤ -5

When y= -10,

-2y +7

= -2(-10) +7

= 20 +7

= 27

Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.

3 0
2 years ago
In 2000, the population of Massachusetts
Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0
2 years ago
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sa
Kamila [148]

Answer:

$159.95

Step-by-step explanation:

Let price of trumphet be defined by x

price of clarinet = $139.95

Number of clarinets sold = 19

Earning through clarinets' sale = 19*139.95 = 2659.05

Total earning of store = $4578.45

Earning through trumphets' sale = 4578.45 - 2659.05 = 1919.40

price of one trumohet = \frac{1919.40}{12} = 159.95

price of clarinet = $159.95

7 0
3 years ago
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