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3 years ago

(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x

1 answer:

3 0

So we are given two points, say P1(4,7), P2(x,19).

Slope is given by
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8

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Three girls download a total of 36 songs on their iPods. Jane downloaded twice as many as Inez and since Tracy wanted to have th

lesya692 [45]

J + i + t = 36
j = 2i
t = j + 1.....t = 2i + 1

(2i + 1) + i + (2i) = 36
5i + 1 = 36
5i = 36 - 1
5i = 35
i = 35/5
i = 7 <=== Inez downloaded 7 songs

j = 2i = 2(7) = 14 <==Jane downloaded 14 songs
t = 2i + 1 = 2(7) + 1 = 15 <== Tracy downloaded 15 songs

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2 years ago

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

Archy [21]

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

$sin2x+cosx=0$

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

$2sinxcosx+cosx=0\\$

$cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\$

Principal solution is $x=\frac{\pi}{2} , \frac{-\pi}{6}$

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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2 years ago

Select the two binomials that are factors of this trinomial x2+10x+16

Zigmanuir [339]

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

$x^2+2x+8x+16$

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: $x(x+2)+8(x+2)$

<u>Now you can rewrite this as $(x+8)(x+2)$ , which is your final answer.</u>

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3 years ago

A worker at one farm is paid $486 for the week, plus $0.03 for every pound

Natali5045456 [20]

Answer:sorry this probably is t the most helpful but the closest i could get was 399 lbs. it’s is st$497.7 for one and $$497.8.

Step-by-step explanation:

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3 years ago

What is this number in standard form?

attashe74 [19]

The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²

<h3>How to write number in standard form?</h3>

The number can be represented in standard form as follows:

(7 × 100) + (4 × 1/100)+(8 × 1/1,000)

Therefore,

7 × 100 = 700 = 7 × 10²

4 × 1/100 = 4 × 10⁻²

8 × 1/1,000 = 8 × 10⁻³

Therefore,

7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²

learn more on standard form here: brainly.com/question/22649174

#SPJ1

6 0

2 years ago