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Zinaida [17]
3 years ago
6

What is the missing reason in the proof?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0
A) corresponding angle theorem
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F(x)=6x^2 +10x−1
KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

D=b^2-4ac

In this case you have the following Quadractic function provided in the exercise:

f(x)=6x^2 +10x-1

Let's make it equal to 0:

0=6x^2 +10x-1

You can identify that:

a=6\\\\b=10

Knowing these values, you can substitute them into the formula and then evaluate:

D=10^2-4(6)(-1)\\\\D=124

Therefore, since:

 D>0

You can determine that the it has two distinct real roots.

3 0
3 years ago
PLEASE HELLP PLEASE!!!!! Create a problem that uses the commutative property to find the sum of at least 2 rational numbers. Sho
lyudmila [28]
<span>2+4 = 4+2 
</span>
would be your answer 
3 0
3 years ago
Read 2 more answers
In ΔABC,AB = 20 cm, AC = 15 cm. The length of the altitude AN is 12 cm. Prove that ΔABC is a right triangle.
Makovka662 [10]
It is the pythagorean theorem converse
4 0
3 years ago
Read 2 more answers
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra
Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0
3 years ago
the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60i
alexandr402 [8]

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8

4 0
2 years ago
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