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3 years ago

6

Which expressions are equivalent to 2(4x+2y)

1 answer:

dlinn [17]3 years ago

8 0

Answer:

A,B

Step-by-step explanation:

4(2x+y)

4•2x + 4•y

8x+4y

2(4x+2y)

2•4x + 2•2y

8x+4y

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If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.

Gala2k [10]

For this case we use the formula of distance between points.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
For AB:
AB = root ((4 - (- 1)) ^ 2 + (4-3) ^ 2)
AB = 5.099019514
For AC:
AC = root ((8 - (- 1)) ^ 2 + (1-3) ^ 2)
AC = 9.219544457
For BC:
BC = root ((8-4) ^ 2 + (1-4) ^ 2)
BC = 5
We observe that it has three sides with different dimensions, therefore, the triangle is scalene.
Answer:
Scalene

7 0

3 years ago

Find approximate solution for the equation in the interval 0<_ x <_ pi. round to three decimal places. tanx=5 sin x

timofeeve [1]

Answer:

d. 0, 1.369

Step-by-step explanation:

Given:

The equation is: $\tan x =5\sin x................(0\leq x\leq \pi)$

Adding $-5\sin x$ on both sides, we get

$\tan x - 5\sin x=0$

Using the identity $\tan x=\frac{\sin x}{\cos x}$ , we get

$\frac{\sin x}{\cos x}-5\sin x=0$

Factoring out $\sin x$ , we get

$\sin x(\frac{1}{\cos x}-5)=0\\\\\therefore \sin x=0\ or\ \frac{1}{\cos x}-5=0\\\\x=\sin^{-1} (0)\ or\ \cos x=\frac{1}{5}\\\\x=0\ or\ x=\cos^{-1} (\frac{1}{5})\\\\x=0\ or\ x=1.3694\approx 1.369(\textrm{Round to 3 decimal places})$

Therefore, the solution of the given equation is either 0 or 1.369.

The correct choice is d.

4 0

3 years ago

One timer is set to ring every 48 seconds. Another timer is set to ring every 2 minutes 15 seconds. They rang together at 7 p.m.

Levart [38]

Answer:

8:16 p.m.

Step-by-step explanation:

You have to find LCM(a,b), where a=48 seconds and b=95 seconds (2 minutes 15 seconds).

1.

$48=2\cdot 24=2\cdot 2\cdot 12=2\cdot 2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 2\cdot 3=2^4\cdot 3.$

2.

$95=5\cdot 19.$

3.

$LCM(48,95)=2^4\cdot 3\cdot 5\cdot 19=4560\text{ seconds }=76\text{ minutes }=1\text{ hour }16 \text{ minutes. }$

If they rang together at 7 p.m, then the next time that the timers will ring together will be after 1 hour 16 minutes that is 8:16 p.m.

4 0

3 years ago

A small passenger airplane has 9 rows of seats . The first 8 rows have 4 seats . The last row has 5 seats m. How many seats are

mr_godi [17]

Answer:

37 seats

Step-by-step explanation:

8 * 4 = 32 + 5 = 37.

8 0

3 years ago

Solve for xxx. Write the smaller solution first, and the larger solution second.

____ [38]

Answer:

$x=-5\text{ or }x=2$

Step-by-step explanation:

We have been given an equation $x^2+3x-10=0$ . We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is $-10$ and whose sum is 3.

We know that such two numbers are $5\text{ and }-2$ .

$x^2+5x-2x-10=0$

$(x^2+5x)+(-2x-10)=0$

$x(x+5)-2(x+5)=0$

$(x+5)(x-2)=0$

Using zero product property, we will get:

$(x+5)=0\text{ or }(x-2)=0$

$x+5=0\text{ or }x-2=0$

$x=-5\text{ or }x=2$

Therefore, the solutions for our given equation are $x=-5\text{ or }x=2$ .

4 0

3 years ago

Read 2 more answers