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bija089 [108]
3 years ago
8

Identify all factors of the expression 〖4x〗^2+17x-15.

Mathematics
1 answer:
Basile [38]3 years ago
8 0

The factors of given expression are: -5 and 3/4

Step-by-step explanation:

Given equation is:

4x^2+17x-15

Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15

4x^2+20x-3x-15

= 4x(x+5) - 3(x+5)

=(4x-3)(x+5)

Now

4x-3 = 0\\4x = 3\\x = \frac{3}{4}

x+5 = 0\\x = -5

Hence,

The factors of given expression are: -5 and 3/4

Keywords: Quadratic equation, factors

Learn more about quadratic equation at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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Answer: x = 20

Step-by-step explanation:

Right angle = 90

90 - 47 = 43

43 - 3 = 40

40/2 = 20

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2 years ago
Can anyone please help me with this ?
djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5\sqrt{2} feet

The Height of the Skyscraper is 5 feet

Step-by-step explanation:

Given

Let Top point of building be point C

Also Let Base of the building be point  B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB =\frac{AB}{BC}

∴ AB= BC =5 feet

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So by Pythagoras theorem

AC= \sqrt{AB^2+BC^2}=\sqrt{5^2+5^2} =\sqrt{50} =\sqrt{25\times2} =\sqrt{5^2\times2}=5\sqrt{2}

The distance from point A to the top of the building is 5\sqrt{2} feet

5 0
3 years ago
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A triangular bookend has a base of 4 inches and a height of 8 inches. Find the area of the bookend.
nekit [7.7K]
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3 years ago
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Westkost [7]

Answer:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

Step-by-step explanation:

We need to sum the following two expressions:

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\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}

expanding the polynomial in the numerator:

\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

This is the most simplified form we can get:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

8 0
3 years ago
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Which number sentence shows that the sum of a number and its opposite is 0?
Kazeer [188]

Answer:

A. −4 + 4 = 0

Step-by-step explanation:

-4 + 4 = 0

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3 0
2 years ago
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