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larisa [96]
4 years ago
12

How many solutions does x^2 - 5x + 40 = 0 have? Choices: 0, 1 (double root), or 2?

Mathematics
1 answer:
zalisa [80]4 years ago
7 0

Answer:

0 real roots or 2 complex roots

Step-by-step explanation:

Discriminant: b² - 4ac

If d > 0, then there are 2 real zeros

If d = 0, then there is 1 real zero

If d < 0, then there are 0 real zeros and 2 complex/imaginary zeros

Simply substitute <em>a </em>= 1, <em>b</em> = -5, and <em>c</em> = 40

Our d should equal -135, showing us we have 0 real roots and 2 complex ones.

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Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10 Supersc
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You need to sum at least 5000 terms

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levacccp [35]

three shapes. three areas to find. three areas to add together to find the whole area. gotcha.

Step-by-step explanation:

  • smaller rectangle
  • larger rectangle
  • right triangle

<h2> smaller rectangle: </h2>

length is 7 cm and width is 4 cm, so the area is <u>28 square cm</u>

<h2></h2><h2>larger rectangle:</h2>

width is 4 cm and length is 10 cm, so the area is <u>40 square cm</u>

Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.

<h2>right triangle: </h2>

base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = <u>12 square cm</u>

With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).

Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.

<h2>weird shape's area from adding three shapes' areas: </h2>

28 + 40 + 12

= 80 square cm (ANSWER)

<h2 />
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3 years ago
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