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Oksi-84 [34.3K]
3 years ago
6

What are the solutions of the quadratic equation below? 4x2 - 30x + 45 = 0

Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0

Answer:

Solutions are x = 6.46 and 1.04

Step-by-step explanation:

The given quadratic equation is 4x² - 30x + 45 = 0

We have to find the solutions of the equation.

Now we will use the formula of quadratic equations

x=\frac{30\pm \sqrt{900-16\times 45}}{8}

=\frac{30\pm \sqrt{500}}{8}

=\frac{30\pm 22.36}{8}

x=6.46

Or x=1.04

Naddik [55]3 years ago
4 0
You would solve for x by finding a, b, and c of the quadratic the you would use the quadratic formula. You should get x=\frac{15+-3 \sqrt{5} }{4} and x~ 5.427
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Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of t
Roman55 [17]

Answer:

7 groups, 3 boys and 8 girls

Step-by-step explanation:

Let total number of groups be x

and total hikers in one group be y

if number of girls and boys in every group is same, then

\frac{21}{x} + \frac{56}{x} = y

\frac{21 + 56}{x} = y\\x*y = 77 ....(1)

from (1) x will either be 11 or 7

for x = 11 the values won't be real.

For x = 7\\y = \frac{77}{7} \\y = 11

so there will be 7 groups with 11 hikers in each groups and every group will have \frac{21}{7} = 3 boys and \frac{56}{7} = 8 girls

6 0
4 years ago
Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to  the sum of the squares of the legs:

c^2=a^2+b^2.

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2 true.

2. c=14, a=4, b=11:

14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2 false.

3. c=17, a=9, b=14:

17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2 false.

4. c=16, a=8, b=14:

16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2 false.

5. c=17, a=8, b=15:

17^2=289,\\8^2+15^2=64+225=289,\\17^2=8^2+15^2 true.

Answer: correct options are A and E.

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3 years ago
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2 years ago
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The question has to do with finding the proven with the given and I’m not sure what to do
Oduvanchick [21]

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In the given question,

Given: f || g

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We using given diagram in proving that ∠8 ≅ ∠4

Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So

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Hence, we proved that ∠8 ≅ ∠4.

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brainly.com/question/27033529

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7 0
2 years ago
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Flura [38]
So, if k/9=3/9, then k=3, because it is a variable substituting 3. :D Hope I could help! 
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3 years ago
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