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kirill [66]
3 years ago
5

In the figure shown below, point D is the midpoint​

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

8

Step-by-step explanation:

by using 3x+2=6x-4 you can find that x=2. then plug it back in to find d=8

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HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0
3 years ago
Read 2 more answers
Terrell wrote that 5-4.2=8. Which statement about this answer is true?
Nuetrik [128]

Answer:

No.

Step-by-step explanation:

No. 5 - 4.2 = 0.8

7 0
3 years ago
Lisa makes 35 dollars per month babysitting . She spends 25% of what she earns on entertainment. How much does she spend on ente
Musya8 [376]

Answer:8.75$

Step-by-step explanation:hope this helps :)

4 0
3 years ago
Read 2 more answers
The negative effects of a recession would be reduced by which fiscal policy decision?
Elis [28]

Answer:

The negative effects of a recession would be reduced by which fiscal policy decision?

A. incurring a budget deficit which is used to retire debt held by the public

<h3>B. incurring a budget surplus and allowing that surplus to accumulate as idle Treasury balances</h3>

C. incurring a budget surplus, which is used to retire debt held by commercial banks

D. incurring a budget deficit by borrowing from the public and increasing expenditures

Step-by-step explanation:

#CarryOnLearning

3 0
3 years ago
federico ha tomado 2/5 de vaso de leche y maria ,4/10de vaso ¿alguno de los dos ha bebido mas leche o han bebido la misma cantid
umka2103 [35]

Answer:

Han bebido la misma cantidad.

Step-by-step explanation:

De la pregunta,

Frederico = 2/5 vaso de leche

María = 4/10 vaso de leche

Simplificando el gozo de la leche para María

= 2/5

Por tanto, podemos decir que:

Sí, han bebido la misma cantidad.

5 0
3 years ago
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