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vovikov84 [41]
3 years ago
14

The equation x2 − 6x − 27 = 0 when solved is:

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

-3 , 9

Step-by-step explanation:

Sum = - 6

Product = -27

Factors = 3, -9

x² - 6x-27 = 0

x² + 3x - 9x - 9*3 = 0

x(x + 3) - 9(x + 3)  = 0

(x + 3) (x - 9) = 0

x +3 = 0   ; x - 9 = 0

x = - 3     ; x = 9

Solution: x = -3 , 9

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Find the value of y...​
soldier1979 [14.2K]

Answer:

y=0

Step-by-step explanation:

Rewrite Evaluate Powers:

33^{2y-1}+3^{-1}+2*3^{y}*3^{-1}=1

Calculate:

(3^{y})^{2}*\frac{1}{3} +2*3^{y}*\frac{1}{3}=1

Solve using substitution:

(3^{y})^{2}*\frac{1}{3} +\frac{2}{3} *3^{y}=1     t=3^{y}

Solve the equation for t:

t^{2}*\frac{1}{3}+\frac{2}{3}t=1

t=-3

t=1

Substitute back to t=3^y

3^y=-3

3^y=1

y∉R

3^{y}=1

y=0

5 0
2 years ago
In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0
3 years ago
What is the volume of the right triangular prism? Round to the nearest tenth.
Tatiana [17]

Answer:

613.8 meters cubed

Step-by-step explanation:

6.2x11x9=exactly 613.8 meters cubed

4 0
2 years ago
Read 2 more answers
When the input of the function is -4 what is the output of the function
IceJOKER [234]

Answer:

The output is 5

Step-by-step explanation:

-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).

8 0
3 years ago
Which of the following is an example of a quadratic equation?
WARRIOR [948]

Answer: B

Step-by-step explanation:

A quadratic equation has degree 2.

8 0
1 year ago
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