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mr_godi [17]
3 years ago
6

A raiz da equação 2x - 1 = - 3, é: ( U = Z)

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

A raiz da equação 2x - 1 = - 3, é: ( U = Z)

Step-by-step explanation:

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Simplify (3 + 2i)(7 − 5i).
erma4kov [3.2K]
Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
8 0
3 years ago
Read 2 more answers
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
The angle of the roof on Wendy's dollhouse is 56 degrees she built a scale model of the dollhouse with a scale ratio of 1 to 4 w
Sliva [168]
The angle of the roof on Wendy's dollhouse is 56 degrees she built a scale model of the dollhouse with a scale ratio of 1 to 4 what is the measurement of the angle of the roof of the model?

Answer: 14
4 0
3 years ago
równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma
Rasek [7]

Answer:

s = 22.5 m

Step-by-step explanation:

the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.

v (t) = 25 - 5 t

at t = 0 , v = 20 m/s

Let the distance is s.

s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\

Let at t = t, the v = 20

So,

20 = 25 - 5 t

t = 1 s

So, s = 25 x 1 - 2.5 x 1 = 22.5 m

3 0
2 years ago
Sue's average score for three bowling games was 162. In the second game, Sue scored 10 less than in the first game. In the third
natali 33 [55]

Answer:

Her score in the first game was 173.

Step-by-step explanation:

Sue's total score for the 3 games = 3*162 = 486 points.

Let her score in the first game be x points. Then in the second game she scored (x - 10)  and in the third, ( x - 10 - 13) points:

x + (x - 10) + (x - 23) = 486

3x - 33 = 486

3x = 519

x = 173 (answer).


7 0
3 years ago
Read 2 more answers
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