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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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Noah has drawn two triangle △MNO and △M'N'O' on the coordinate plane as shown below. (the image I pasted)
Ber [7]

Answer:

  choice C is correct

Step-by-step explanation:

The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.

Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)

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Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.

4 0
3 years ago
Can someone help with 6
olga nikolaevna [1]

A. there are 20 boys and 30 girls.

B.

68.7 out of 100 Boys

Girls im not sure, maybe someone else can answer that sorry




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8 0
3 years ago
I'm stuck, plsss help ASAPP!!! :))
Bogdan [553]

Answer:

15 units

Step-by-step explanation:

d \:  =  \sqrt{(x2 - x1) ^{2}  + (y2 - y1) ^{2} }

d = 14.866

d = 15

7 0
3 years ago
Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40
Misha Larkins [42]
                  Amanda           Billy
1st week       10                   5
2nd week      20                  10 
3rd week       30                  20
4th week       40                  40
<span>
A) Amanda's method is linear because the number of minutes increased by an equal number every week.</span>
common difference is 10.
1st week      0 + 10 = 10
2nd week   10 + 10 = 20
3rd week    20 + 10 = 30
4th week    30 + 10 = 40

Billy's method is exponential:
5(2)^x

1st week   5(2⁰) = 5(1) = 5
2nd week  5(2¹) = 5(2) = 10
3rd week   5(2²) = 5(4) = 20
4th week   5(2³) = 5(8) = 40
8 0
3 years ago
Read 2 more answers
Find the equation for the line that passes through the point (1,−4) and that is parallel to the line with the equation y=4.
diamong [38]

Answer:

y = -4.

Step-by-step explanation:

The line with equation y = 4 is a horizontal line on the coordinate plane which passes through the y-axis at y = the point (0, 4).

The other line parallel to this must also be horizontal and , as it passes through the point (1 , -4), must also pass through the y-axis at  ( 0, -4). The equation of this line is y = -4.

6 0
3 years ago
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