Carnegie Learning, Inc.

Mathematics

1 answer:

Mnenie [13.5K]1 year ago

8 0

Answer:

Step-by-step explanation:

The y coordinate tells us when we are going up for down. So the rule would be (x, y + 5) So, the x coordinate stays the same and the y goes up 5.

(1,2) The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2) The 2 is the y coordinate. It will increase by 5 and become (3,7)

(3,4) The 4 is the y coordinate. It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate. It will increase by 5 and become (1,9)

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(z + 3)2 Draw me an area that shows the expression

mario62 [17]

Answer: 2z + 6

Step-by-step explanation: Distribute the 2 to z and 3.

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3 years ago

A towel set consisting of a towel and 6 napkins cost rupees 200 if the cost of each napkin is rupees 95 less than the cost of th

ollegr [7]

Answer:

The towel costs 110 rupees

Step-by-step explanation:

Let n be napkins, and t be towels. Then:

6n+t=200

and

n=t-95

So:

6(t-95)+t=200

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3 years ago

Read 2 more answers

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

The area of rectangle ABCD is 28 cm^2

Sonbull [250]

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)