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4 years ago

2k + 10 distributive princess property

Mathematics

1 answer:

Anton [14]4 years ago

7 0

Here you go
2•k+10
(10•k)+(10•2)
is that in the answers? If not, do not put it in!

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What is the solution to the system of equations below? y = one-half x minus 4 and y = negative 2 x minus 9 (–2, –5) (–2, –3) (2,

Maurinko [17]

We have been given a system of equations $y=\frac{1}{2}x-4$ and $y=-2x-9$ . We are asked to find the solution of our given system of equations.

To solve our system of equations, we will equate both equations as:

$\frac{1}{2}x-4=-2x-9$

$\frac{1}{2}x-4+4=-2x-9+4$

$\frac{1}{2}x=-2x-5$

$\frac{1}{2}x+2x=-2x+2x-5$

$\frac{1}{2}x+\frac{4}{2}x=-5$

$\frac{1+4}{2}x=-5$

$\frac{5}{2}x=-5$

$\frac{2}{5}\cdot \frac{5}{2}x=-5\cdot \frac{2}{5}$

$x=-2$

Upon substituting $x=-2$ in equation $y=-2x-9$ , we will get:

$y=-2(-2)-9$

$y=4-9$

$y=-5$

Therefore, the solution of our given system of equations would be $(-2,-5)$ and option A is the correct choice.

7 0

3 years ago

Read 2 more answers

Allison's team scored 78 points in total. Nineteen of the baskets counted 1 point each. The remaining 27 baskets we're 2 point a

sweet [91]

Answer:

1 point baskets = 19

2 point baskets = 22

3 point baskets = 5

Step-by-step explanation:

Given:

Number of points scored (P) = 78

Number of 1 point baskets = 19

Number of 2 and 3 points basket = 27

Let the number of 2 point baskets be 'x' and 3 point basket be 'y'.

Therefore,

$x+ y=27\\\\y=27-x$

Now, points scored per 2 point basket = 2

So, points scored for 'x' baskets = $2x$

Also, points scored for 'y' baskets = $3y=3(27-x)=81-3x$

Now, total points scored is equal to the sum of 1 point baskets, 2 point baskets and 3 point baskets. Therefore,

$P=19+2x+81-3x\\\\78=100-x\\\\x=100-78\\\\x=22$

Therefore, number of 2 point baskets = 22

Now, number of 3 point baskets = 27 - 22 = 5

So, there were 19 one point baskets, 22 two point baskets and 5 three point baskets.

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3 years ago

Read 2 more answers

tell whether the measure can be the side lengths of a triangle. if so classify the triangle as acute obtuse or right

Jlenok [28]

Answer: All of them can be a triangle except for #11 because the two shortest sides don't add up to more than the longest side.

#10 is a Pythagorean Triple so it is a right triangle.

To determine if the triangle is an acute or obtuse triangle, we just need to plug the values into the Pythagorean Theorem. If the sum of the legs squared is greater than the hypotenuse, it's an acute triangle. If the sum of the legs square is less than the hypotenuse, it's an obtuse triangle.

Using this logic, 7 & 12 will be obtuse while 8 & 9 will be acute.

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3 years ago

Match the vocabulary terms to the correct definitions.

Masja [62]

Answer:

1) Square root

2) Perfect Square

3) Irrational Number

Step-by-step explanation:

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3 years ago

Factor the polynomial.

Rzqust [24]

Answer:

Step-by-step explanation:

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3 years ago