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2 years ago

Write an equation of the line that passes through the point (4, –5) with slope 2.

Mathematics

1 answer:

zubka84 [21]2 years ago

5 0

Answer:

D. y+5=2(x−4)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for writing an equation for a line through a given point with a given slope.

<h3>Point-slope form</h3>

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . line through point (h, k) with slope m

<h3>Application</h3>

We want a line through point (h, k) = (4, -5) with slope m = 2. Putting these numbers into the form gives ...

y -(-5) = 2(x -4)

y +5 = 2(x -4) . . . . . . simplifying the signs

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3 years ago

What is -0.6(r+0.2) = 1.8 ???

lana66690 [7]

Answer:

r = -3.2

Step-by-step explanation:

-0.6(r+0.2) = 1.8

Divide by -.6

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Subtract .2 from each side

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2 years ago

Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular. [Each angle is 90°]

The equation of line NG is $Y=\dfrac12 X-6$ .

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope = $\dfrac12$

Let slope of LG be <em>n</em>, then

$n\times \dfrac{1}{2}=-1$ [Product of slopes of two perpendicular line =-1]

$\Rightarrow n=-2$

Equation of a line passes through (a,b) and have slope m is given by :-

$(y-b)=m(x-a)$

Equation of LG :

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3 0

2 years ago

3.2 geometry worksheet

alekssr [168]

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

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3 0

3 years ago

Does anyone know the answer?

Alex787 [66]

Answer:

£0.60

Step-by-step explanation:

If each pack costs £1.59 and Nadia orders 15 packs,

then the total order before discount = 1.59 x 15 = £23.85

From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.

Divide £23.85 by 100 to get 1%: £23.85 ÷ 100 = £0.2385

Now multiply by 2.5 to get 2.5%: £0.2385 × 2.5 = £0.59625 = £0.60

Alternatively, the calculation in one expression is:

(1.59 × 15) × 0.025 = 0.59625

7 0

2 years ago