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Degger [83]
3 years ago
12

Find the discriminat 2x^2 + 8x - 9 = 0

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

2x^2 + 8x - 9 = 0

2x^2 + 8x = 9

2x^2 + x = 9/8

x^2 + x = 9/8×2

x^2 + x = 9/16

2x = √9/16

x = √9/32

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Debora [2.8K]

Answer:

AC = 12.5 cm

Step-by-step explanation:

use cosine law c^2 = a^2 + b^2 − 2ab cos(C)

c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)

c^2 = 156.84

c= √156.84

c= 12.5 cm

The cosine rule is used when we are given either three sides or two sides and the included angle.

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Step-by-step explanation:

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3 years ago
A carrot has
4vir4ik [10]

Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

<u><em>Verify each statement</em></u>

A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

therefore

50 g < 75 g

B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

50+10\neq 150

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

10\neq 30

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The triangular top of an end table has a height of 32 centimeters and a base of 40 centimeters. What is the surface area of the
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The formula for the area of a triangle is half the base times the height. So 1/2 x 40 x 32 = 640cm^2
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