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Semenov [28]
3 years ago
12

Find the value of the lesser root of x2 + 12x + 35 = 0.

Mathematics
1 answer:
matrenka [14]3 years ago
8 0
In quadratic equations,
                                   a + b = -B
                                      ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
                                  a + b = -12
                                      ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7. 
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ElenaW [278]

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3 years ago
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
3 years ago
Can someone tell me the area of this please
Andru [333]

Answer: just multiply all sides with a calculator, that easy

Step-by-step explanation: or do you need help with solving it?

5 0
3 years ago
Read 2 more answers
How to Find x value: 9-0.75(x+8)-5=-6.5
Dahasolnce [82]
Here's how to find the value of x:

<span>9 - 0.75 ( x + 8 ) - 5 = -6.5      find the difference of 9 - 0.75

</span><span>8.25 ( x + 8 ) - 5 = -6.5           add 5 to both sides
</span>
8.25 ( x + 8 ) = -1.5                distribute 8.25 to x and 8

8.25x + 66 = -1.5                    subtract 66 from both sides

8.25x = -67.5                          divide both sides by 8.25

x = 18.18181818......            the value of x is 18 2/11

hope this helps
8 0
3 years ago
tara paints 12 wall in 4 hour. she has 3 wall left to paint how long do you think that it will take her to paint the 3 remaining
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12 divided by 4 equals to 3
she paints 3 wall per hour

the answer is : the remaining wall will take her 1 hour to paint
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