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jek_recluse [69]
3 years ago
13

Solve the following equation for x.

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Answer:

c

Step-by-step explanation:

6x² + 54x + 120 = 0

divide by 6

x² + 9x + 20 = 0

(x² + 5x) + (4x + 20) = 0

x(x + 5) + 4(x + 5) = 0

(x + 4) (x + 5) = 0

x + 4 = 0, x + 5 = 0

x = -4, x = -5

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Ashley bought bag of oranges at the grocery store she gave half of the oranges to David then she gave Erin 6 oranges and Kept th
andreev551 [17]
The answer would be 16. She gave Erin 6 and kept two. That would be 8 oranges between the two of them and David got half, making the total 16 oranges.

5 0
3 years ago
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vladimir2022 [97]
The answer is D .............
6 0
3 years ago
The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?​
horsena [70]

Step-by-step explanation:

a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\

Subtracting equation (2) from equation (1)

a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\

Substituting d = - 3 in equation (1), we find:

a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a  = 27- 27\\\\\huge \red {\boxed {\therefore a  = 0}}\\\\

Hence, first term is zero.

3 0
3 years ago
PLS HELP i have to finish this tonight
kvasek [131]

Answer:

D.480 Ft/S

Step-by-step explanation:

um, Just ask your teacher if you don't understand:P

5 0
3 years ago
Find the equation of a line that passes through (-5,4) and us parallel to y=-6/7x+3​
irina [24]

Given:

The given equation of line is

y=-\dfrac{6}{7}x+3

To find:

The equation of line that passes through (-5,4) and is parallel to the given line.

Solution:

Slope intercept form of a line is

y=mx+b    ...(i)

where, m is slope and b is y-intercept.

We have,

y=-\dfrac{6}{7}x+3      ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{6}{7}

Slope of given line is m=-\dfrac{6}{7}.

Slope of parallel lines are same. So, slope of parallel line is m=-\dfrac{6}{7}.

The required line passes through (-5,4) with slope m=-\dfrac{6}{7}. So, the equation of line is

y-y_1=m(x-x_1)

y-4=-\dfrac{6}{7}(x-(-5))

y-4=-\dfrac{6}{7}(x+5)

y-4=-\dfrac{6}{7}x-\dfrac{30}{7}

Adding 4 on both sides, we get

y=-\dfrac{6}{7}x-\dfrac{30}{7}+4

y=-\dfrac{6}{7}x+\dfrac{-30+28}{7}

y=-\dfrac{6}{7}x-\dfrac{2}{7}

Therefore, the correct option is a.

8 0
3 years ago
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