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Blababa [14]
3 years ago
12

Expand the expression 2(y + 5x)

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

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A line contains (9,y) and (-6,3). It has slope 2/3, find y
koban [17]

The line contains (9,y) and (-6,3) Then y is 13

<em><u>Solution:</u></em>

Given that a line contains (9, y) and (-6, 3)

Slope of line is \frac{2}{3}

To find: y

<em><u>The slope of line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here }\left(x_{1}, y_{1}\right)=(9, y) \text { and }\left(x_{2}, y_{2}\right)=(-6,3)

<em><u>Substituting the values in formula,</u></em>

m=\frac{3-y}{-6-9}

Substitute m = \frac{2}{3}

\frac{2}{3}=\frac{3-y}{-6-9}

2(-6 - 9) = 3(3 - y)

Multiplying the terms with terms inside bracket

-12 - 18 = 9 - 3y

Move the variable to one side

-30 = 9 - 3y

On solving we get,

3y = 30 + 9

3y = 39

Divide both sides by 3, we get

y = 13

Thus y = 13

6 0
4 years ago
The city council is planning a long, narrow park with a playground at one end and a fountain at the other. They want the playgro
ipn [44]

Answer:

The following are some inequalities that represent the possible position of the playground.

2x ≥ -2 and x < -3

x + 3 ≤ 1 and –x > -3

x + 4 ≤ 2 and x + 4 > 7

2x – 1 ≥ -5 and 3x < 9

The city council planning for playground, that is more than 5 blocks from fountain and at least 2 blocks from center of park.

A solid dot on negative two points less than -2 and a circle dot on positive three points in the direction indicating greater than 3. So the right inequality is x + 3 ≤ 1 and –x > -3. That represents the possible position of ground.

Hence, the inequality x + 3 ≤ 1 and –x > -3 is the playground's possible position.

8 0
3 years ago
Suppose they decide to put fencing around both gardens,but not between the gardens.If b=10 how much fencing will they need?Justi
galina1969 [7]
B + b + b + b + b + 2b = 7b (add all the variables up )
7 x 10 = 70 ( since b = 10 substitute)
8 0
3 years ago
Which is the largest interval over which the function in the table is increasing?
Levart [38]

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

when

x=-4

f'(-4)=4>0 increasing

when

x=-2

f'(-2)=2 >0 increasing

when x=0

f'(0)=0 stationary point.

other points are decreasing

so

largest interval of increasing is

A.X<-2

6 0
3 years ago
Read 2 more answers
-5 1/4-(-7 1/2) I need this simplified please help!!
meriva

Answer:

-51/4 or -12.75

Step-by-step explanation:

3 0
3 years ago
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