A function() is graphed

If the straight line passing through A(-7, -5) and B(-3, x) is parallel to another straight line of slope 2, find the value of x

Ostrovityanka [42]

X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture

8 0

3 years ago

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If a box of 100 pencils cost $4.75, what should you expect to pay for 225 pencils?

skad [1K]

Answer:

$ 10.69

Step-by-step explanation:

225 is 2.25 times the 100 pencils. ( 225/100) So all you have to do is multiply 2.25 the price ($4.75) and you get 10.6875, money can only go to the tenth place so you round it to $10.69

Hope this helped and pls mark as brainliest!

~Luna

6 0

3 years ago

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The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre

Monica [59]

Answer:

(p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

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

y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

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

by -b² = -ax +a²

ax +by = a² +b²

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For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

2(5x +4y) = 2(41)

10x +8y = 82