Calculate the distance between the points M=(-9, 8) and G=(-1, 3) in the coordinate plane.

Change y-7=m(x-4) to standard form

Ivan

Answer:

mx -y = 4m -7

Step-by-step explanation:

Standard form is ...

ax +by = c

where a, b, c are mutually prime integers and a > 0.

If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.

y -7 = mx -4m . . . . eliminate parentheses

-7 = mx -y -4m . . . . subtract y

4m -7 = mx -y . . . . . add 4m

mx -y = 4m -7 . . . . . . standard form

4 0

2 years ago

It costs $70 for 50 tickets. How much does each ticket cost?

liberstina [14]

1 dollar and 40 cents

5 0

3 years ago

Read 2 more answers

A man invests $2000 in an account that pays 6.5% interest per year, compounded quarterly.

skelet666 [1.2K]

Answer:

The correct answer is a. $2275.28; b. 17.04 years

Step-by-step explanation:

Principal to be invested is $2000

Interest rate (r) per year is 6.5 quarterly.

Interest is calculated compoundly.

a. Time (t) for the investment is given to be 2 years.

Amount after two years is = Principal × $( 1+ \frac{r}{100n}) ^ {nt}$ where the value of n is 4.

⇒ A = 2000 × $( 1+ \frac{6.5}{400}) ^ {8}$

⇒ A = $2275.28.

b. Now the value of A is given to be triple the principal = $ (3 × 2000).

Therefore we need to find the value of t.

⇒ 3 × 2000 = 2000 × $( 1+ \frac{6.5}{400}) ^ {4t}$

⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)

⇒ t = 17.04

Therefore it would take 17.04 years for the principal to triple.

5 0

2 years ago

EASY, ASAP!

Lady bird [3.3K]

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x - 16 + 81 + 16x + 10 + 15x + 30

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

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This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are very easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

Easy!

x + 6 = 7x

6 = 6x

1 = x

Are you kidding me? This is easy stuff, kid.

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In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

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That will be all, ya boi Keith.

4 0

3 years ago

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is _.

defon

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

We know that when a complex number $z=a+ib$ is a root of a polynomial with degree 'n' , then the conjugate of the complex number ( $\overline{z}=a-ib$ ) is also a root of the same polynomial.

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate ( $\overline{7+5i}=7-5i$ ) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

8 0

3 years ago