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34kurt
3 years ago
9

Solve the problem in the picture please

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
(1) y= - x² - 4x + 9 and (2) y + 5x = - 7. Isolate y in (2); y= - 5x - 7 (3)

Since (1) and (3) have the same value or the same y, then we can write:
(1)=(3)

- x² - 4x + 9 = - 5x - 7

-x² - 4x + 9 + 5x +7 = 0

-x² + x + 16 = 0  OR x² - x - 16 = 0

Solve this quadratic equation:

x' = [-b+√(b²-4ac)]/(2a) and x" = [-b-√(b²-4ac)]/(2a)

x' = [+1+√(-1)² - 4(1)(-16)]/2 → x' = [1+√(1+64)]/2 → x' = [1+√65)]/2
x" = [+1-√(-1)² - 4(1)(-16)]/2 → x' = [1-√(1+64)]/2 → x' = [1-√65)]/2

x' = [1+√65)]/2 = + 4.5311


x" =[1-√65)]/2 = - 3.5311
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Answer:

see below

Step-by-step explanation:

1. 10/16=5/6

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3.6/14= 3/7

4.6/24= 1/3

5.7/70=1/10

6.5/10=1/2

7. 9/27= 1/3

8.6/72=1/12

9.6/27=1/3

10. 14/35= 2/5

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8 0
3 years ago
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the
Brums [2.3K]

Answer: 2.11cm

Step-by-step explanation:

Given the following :

The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm

The area of trapezoid is calculated using the formula:

1/2(a + b) × h

Where ;

a = Length of side 1

b = length of side 2

h = height

Take a = (2z + 3) and b = (6z – 1), h = z

Therefore ;

1/2 (2z + 3 + 6z - 1) × z

Opening the bracket

(z + 1.5 + 3z - 0.5) × z

(4z + 1 ) × z = 20cm^2

4z^2 + z = 20cm^2

Using Quadratic formula:

4z^2 + z - 20 = 0

a = 4, b = 1, c = - 20

(-b±√b^2 -4ac) / 2a

Z = 2.11 or - 2.364

z cannot be negative, therefore,

Z = 2.11 cm

6 0
3 years ago
A bicyclist was on a three day tour around a lake. On the first day, he rode 78 miles, on the second day he rode 54 miles, and o
gogolik [260]

Answer:

240 miles

Step-by-step explanation:

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3 years ago
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Answer:

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2 years ago
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Can anyone help me please solving this maths problems not sure if. Thanks
Marrrta [24]
The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.

Ex. 4/5 or 3/5

which is greater? Which is smaller?

It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.

please vote my answer brainliest. thanks!
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3 years ago
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