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3 years ago

PAGE 11 7) -10(x+2)-5x=-9x+16 A x= -6 B x= 6 C x= 1/6 D x= 2

Mathematics

2 answers:

Alja [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Amiraneli [1.4K]3 years ago

6 0

It’s A) x= -6

Isolate the variable by dividing each side by factors that don't contain the variable.

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Carolyn's house is 15 miles south of Ben's

Jlenok [28]

Answer:

Step-by-step explanation:

6 0

2 years ago

Please help me with this!

ivanzaharov [21]

1. The first equation is - 2x + 5y = 0

Second equation is $y = \frac{2}{5} x$

5y = 2x

- 2x + 5y = 0

Hence, the two equations are equivalent.

2. $a_{1} = 2, a_{2} = - 2$

$b_{1} = -1, b_{2} = -1$

$\frac{a_{1} }{a_{2}} =\frac{2}{-2} = -1$

$\frac{b_{1} }{b_{2}} = \frac{-1}{-1} = 1$

$\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}$

Hence, the equations are consistent.

3. $a_{1} = 4, a_{2} = 6$

$b_{1} = -1, b_{2} = -1$

$\frac{a_{1} }{a_{2}} =\frac{4}{6} = \frac{2 }{3}$

$\frac{b_{1} }{b_{2}} = \frac{-1}{-1} = 1$

$\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}$

Hence, the equations are consistent.

4. Equations can be re-arranged as:

x + y - 4 = 0 and

x + y + 6 = 0

$a_{1} = 1, a_{2} = 1$

$b_{1} = 1, b_{2} = 1$

$c_{1} = -4, c_{2} = 6$

$\frac{a_{1} }{a_{2}} =\frac{1}{1} = 1$

$\frac{b_{1} }{b_{2}} =\frac{1}{1} = 1$

$\frac{c_{1} }{c_{2}} =\frac{-4}{6} = \frac{-2}{3}$

$\frac{a_{1} }{a_{2}} = \frac{b_{1} }{b_{2}} \neq \frac{c_{1} }{c_{2}}$

Hence, the equations are inconsistent.

5. If we multiply the first equation by 4, we will get,

2y = -4x + 20 which is the second equation.

Hence, the equations are equivalent.

4 0

3 years ago

PLEASE HELP WORTH 50 POINTS

VashaNatasha [74]

Answer:cos( A + B ) = cosAcosB - sinAsinB ;

cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Step-by-step explanation:

5 0

2 years ago

Find an explicit formula for the arithmetic sequence -5, 13, 31,

Lynna [10]

Answer:

b(n) = -23 + 18n

Step-by-step explanation:

NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.

The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.

Since you have b(1), you look at what your first term is. Plug -5 into a(1).

To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.

So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)

All we need to do now is simplify.

1. Distribute: -5 + 18n - 18

2. Add like terms: -23 + 18n

Hope this helped and made sense lol.

8 0

3 years ago

In order to keep the rabbits out of the lettuce, Sue is going to put chicken wire around her garden. The diameter of the garden

ANTONII [103]

To keep rabbits away from lettuce garden, she need to set up chicken wire along the garden's circumference. If circumference comes out to be > 20 feet, then yes she will have enough chicken wire to surround the garden. If not , it will be food fest for rabbits. LoL!
Anyways,
Circumference of lettuce garden = pi x diameter of garden

= 3.14 x 6 = 18.84 feet.
Whereas, she has 20 feet of chicken wire.
So she will be left with 1-2 feet of wire.
Better luck for the next time Mr. Bunny :D

8 0

3 years ago