∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 .<br><br><br><br> What is m∠D ?

Find the value of the discriminant for all the equations. 1.5q2 +2q–3=0 2.3u2 -4u+1=0 3.7s2 +9s–4=0 4.6w2 –8w+5=0 5.5p2 +7p–3=0

kicyunya [14]

Answer:

Case 1: a = 1.5, b = 2, c = -3

$D = 22$

Case 2: a = 2.3, b = -4, c = 1

$D = 6.8$

Case 3: a = 3.7, b = 9, c = -4

$D = 140.2$

Case 4: a = 4.6, b = -8, c = 5

$D = -28$

Case 5: a = 5.5, b = 7, c = -3

$D = 115$

Case 6: a = 6.9, b = -5, c = 2

$D = -30.2$

Case 7: a = 7.2, b = 6, c = -4

$D = 151.2$

Case 8: a = 8.3, b = -3, c = 4

$D = -123.8$

Case 9: a = 9.9, b = 4, c = -7

$D = 293.2$

Case 10: a = 10.4, b = 8, c = -5

$D = 272$

Step-by-step explanation:

For all second order polynomial, the discriminant is equal to:

$D = b^{2}-4\cdot a \cdot c$

Case 1: a = 1.5, b = 2, c = -3

$D = 22$

Case 2: a = 2.3, b = -4, c = 1

$D = 6.8$

Case 3: a = 3.7, b = 9, c = -4

$D = 140.2$

Case 4: a = 4.6, b = -8, c = 5

$D = -28$

Case 5: a = 5.5, b = 7, c = -3

$D = 115$

Case 6: a = 6.9, b = -5, c = 2

$D = -30.2$

Case 7: a = 7.2, b = 6, c = -4

$D = 151.2$

Case 8: a = 8.3, b = -3, c = 4

$D = -123.8$

Case 9: a = 9.9, b = 4, c = -7

$D = 293.2$

Case 10: a = 10.4, b = 8, c = -5

$D = 272$

6 0

3 years ago

Read 2 more answers

Original price of coat: $100.00 Discount: 21%

Reptile [31]

Answer:

$79

Step-by-step explanation:

5 0

3 years ago

What are the zeros of the function?

Trava [24]

The answers should be the last 2

3 0

3 years ago

Solve Quadratic Equations by Factoring:

mr_godi [17]

Answer:

x = 0 or 1
x = ±i/4
x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

(4x)^2 - (i)^2 = 0

(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

5 0

3 years ago

Pamela is making pizzas. She has 112 pieces of pepperoni. She uses 29 pieces of pepperoni on the first pizza. If she uses the sa

Svetllana [295]

Answer:

No

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

Number of pieces of pepperoni used in one pizza = 29

Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83

Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25

To make the third pizza, another 29 pepperoni are required but only 25 are available.

Therefore, there is not enough pepperoni for making 4 more pizza.

7 0

3 years ago

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ?

∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ?