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3 years ago

Graph the equations to solve the system y=-x-2 y=2x+4

Mathematics

1 answer:

Nady [450]3 years ago

6 0

Answer:

The solution is (-2, 0).

It is very easy to graph these two equations. You have the y-intercept for the first equation which is -2, and the slope -1/1. The y-intercept for the second equation is 4, and the slope is 2/1.

When you graph these two equations, you will see that they intersect at the point (-2,0); this is the answer.

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How many triangles can be made if two sides are 4 inches and the angle between them is 90°?

Tcecarenko [31]

2 triangles can be made

7 0

3 years ago

NEED HELP ASAP<br>Write an explicit formula for an, the nth term of the sequence 22, 20, 18,....

ikadub [295]

Answer:

I thino the awnser is 103.5

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If P(x) = ax 3 + bx - 3 and P(-1)-0, then the value of P(1) is:

sergey [27]

Answer:

(a) -6

Step-by-step explanation:

P(x) = ax^3 +bx - 3

P(-1) = -a-b-3 = 0
therefore a+b=-3
P(1) = a+b-3
P(1) = -3 - 3 = -6
(a)

7 0

3 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

Read 2 more answers

After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes

Delvig [45]

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the <u>old price</u> of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

5 0

2 years ago