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Vlad1618 [11]
4 years ago
5

Which is a factor of 5xy − 40x − 15y + 120? A. 2 B. y − 8 C. x − 4 D. x + 6

Mathematics
1 answer:
Phantasy [73]4 years ago
5 0
Upon slight rearranging:

5xy-15y-40x+120, now factor 1st and 2nd pair of terms

5y(x-3)-40(x-3) which is equal to:

(5y-40)(x-3)  if we factor the first parenthetical term as well

5(y-8)(x-3)

So (y-8) is a factor
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9/x =19/4. What is x?
CaHeK987 [17]
Best of luck!
I helped you through the steps as well don't worry! :D

6 0
4 years ago
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Which triangle would be most helpful in finding the distance between the points (-4, 3) and (1,-2) on the coordinate
earnstyle [38]

Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well

5 0
2 years ago
4X+8&lt;28<br> ayudenme por favor
VMariaS [17]

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x < 5.

Step-by-step explanation:

Creo que esto es correcto. :')

7 0
2 years ago
Write the given expression as the cosine of an angle: cos60cos105 - sin60sin105?
Ahat [919]
We know that

<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity

</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105

then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
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the answer is
cos (105°)


6 0
3 years ago
A town has a population of 8000 in Groves at 4.5% every year to the nearest year how long will it be until the population will r
VashaNatasha [74]

Answer:

It takes 10 years approximately for the population to reach 22,500

Step-by-step explanation:

Given:

Initial population  =  8000

Population growth rate  4.5 %

Future population = 22500

To Find:

Time taken to reach a population of  22500

Solution:

The population growth can be identified by using

N = N_0e^{(rt)}

where

N is  future popluation

N_0 is the initial population

t is the time taken

r is the rate of the growth

Here we have to find the time t, rephrasing the formula

log(\frac{N}{N_0}) = rt

\frac{log(\frac{N}{N_0})}{r} = t

Substituting the values we get,

t = \frac{log(\frac{22,500}{ 8000})}{ 0.045}

t = \frac{log(2.8125)}{ 0.045}

t = \frac{ 0.449}{ 0.045}

t = 9.97

t=10(approx)

8 0
4 years ago
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