$2n^2+3n-9= \\\\ a=2 \\ b=3 \\ c=-9 \\\\ \Delta= 3^2-4*2*(-9)=9+72\to\boxed{81} \\\\ x_1;x_2=\frac{-3 +\-\sqrt{81}}{2*2}= \frac{-3+/- 9}{4} \\\\ x_1=\frac{-3+9}{4}=\frac{6}{4}\to\boxed{\frac{3}{2}} \\\\ x_2=\frac{-3-9}{4}=\frac{-12}{4}\to\boxed{-4} \\\\ 2n^2+3n-9=(x-\frac{3}{2})(\x+4)$

7 0

3 years ago

what is the measure the central angle of a circle with radius 75 cm that subtends an arc whose length is 125(pie) cm?

Dvinal [7]

The arc subtends an angle of 300° .

Step-by-step explanation:

Radius = 75 cm

Arc length = 125π cm

Arc length = (θ/360) (2πr)

125π = (θ/360) (2π x 75)

125π = (θ/360) (150π)

125π/150π = (θ/360)

5/6 = (θ/360)

(5/6) (360) = θ

θ = 300°

The arc subtends an angle of 300° .

4 0

4 years ago

Which table represents a direct variation?

Galina-37 [17]

Answer: Table B is a direct variation.

Step-by-step explanation:

Table A contains data that fits the expression y = x+3. This is not a direct variation. The ratio of x and y is not a constant. Table B matches the expression y = 3x. This is a direct variation. Table C can be expressed as y = x - 3. This is not a direct variation, for the same reason as Table A.

8 0

3 years ago

Find the value of x and y:

emmasim [6.3K]

Answer:

x = 5

y = 40°

Step-by-step explanation:

the median and the base of the large triangle are parallel so angle y has the same measure as the one labeled as 40°

the median is half the base of the large triangle, so 5x = 8x + 10/2

cross-multiply: 10x = 8x + 10

2x = 10

x = 5

6 0

3 years ago