Help me plz !! need it plz

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

5x-15

Step-by-step explanation:

Product means multiply, so that would just make it 5x. Less than means subtract. So its 5x-15.

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a line segment with points p(1 2) and q(4 3) is reflected across the line y=x. What are the new coordinates of the points of the

katen-ka-za [31]

Answer:

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Step-by-step explanation:

we know that

When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.

The rule of the reflection of a point across the line y=x is

(x,y) -----> (y,x)

we have

Points p(1,2) and q(4,3)

Applying the rule of the reflection across the line y=x

p(1,2) ------> p'(2,1)

q(4,3) -----> q'(3,4)

therefore

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

3 0

3 years ago

Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

Leya [2.2K]

Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

<u>(b) right sum</u>

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units