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Lilit [14]
3 years ago
6

Dimitri is solving the equation x^2 - 10x = 21. Which value must be added to both sides of the equation to make the left side a

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

Answer:

25

Step-by-step explanation:

juin [17]3 years ago
3 0

Answer:

25

Step-by-step explanation:

Given

x² - 10x = 21

To complete the square on the left side

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = 21 + 25, that is

(x - 5)² = 46

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In this diagram, BAC~ EDF. if the area of BAC = 6 in, what is the area of EDF.
gulaghasi [49]

Answer:

2.7 square inch

Step-by-step explanation:

\triangle BAC \sim \triangle EDF... (Given) \\

\therefore By area of similar triangle theorem:

\frac{A(\triangle BAC)}{A(\triangle EDF)} = \frac{BC^2}{EF^2} \\\\\therefore \frac{6}{A(\triangle EDF)} = \frac{3^2}{2^2} \\\\\therefore \frac{6}{A(\triangle EDF)} = \frac{9}{4} \\\\\therefore A(\triangle EDF) = \frac{4\times 6}{9} \\\\\therefore A(\triangle EDF) = \frac{24}{9} \\\\\therefore A(\triangle EDF) = 2.6667\\\\\huge \purple {\boxed {\therefore A(\triangle EDF) = 2.7\: in^2}}

7 0
4 years ago
The circumference of a circle is 8 inches. Find the area of the circle in terms of π
Flauer [41]
The area of the circle would be 16pi
5 0
3 years ago
Find the difference of 3/4 and 1/28
Katen [24]

Answer:

Step-by-step explanation:

3/4- 1/28

3(7)/4(7)= 21/28-1/28

=20/28

=5/4

3 0
3 years ago
Read 2 more answers
Dawn Lingua bought three yards of cloth to make some curtains . The cloth was on sale for $2.25 per yard. How much did Dawn pay
swat32
2.25 x 3 = 6.75 ,6.75 x .05 = 0.34 ,6.75 + 0.34 = 7.09 ,Answer is $7.09
6 0
3 years ago
Solve the following equation show your work 3{-x + (2x + 1)} = x - 1
Reika [66]

Answer:

x = -2

Step-by-step explanation:

For this problem, we must simply solve for x.  To do this, we will need equation operations, and the use of the distributive property.

Let's work this line by line until we have the value for x:

3{-x + (2x + 1)} = x - 1

3*-x + 3*(2x + 1) = x - 1

-3x + 6x + 3 = x - 1

3x + 3 = x - 1

2x = -4

x = -2

Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:

3{-x + (2x + 1)} = x - 1

3{-(-2) + (2(-2) + 1)} ?= (-2) - 1

3{2 + (-4 + 1)} ?= -3

3{2 + (-3)} ?= -3

3{-1} ?= -3

-3 == -3

Thus, we have found the solution for x to be equivalent to negative 2.

Cheers.

4 0
4 years ago
Read 2 more answers
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