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Alchen [17]
3 years ago
11

Two consecutive positive integers have a

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

3, 4

Step-by-step explanation:

x(x+1)=12

x^2+x-12=0

a=1, b=1, c=-12 in the quadratic formula

quadratic formula: ax^2+bx+c = 0

quadratic equation: x=(-b +/- √(b^2-4ac))   / 2a

= (-1 +/- √49 ) / 2

(-1 +/- 7) / 2

x= -4, x=3

-4 doesn't work because it is not positive

Therefore: Answer = 3, 4

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A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
erma4kov [3.2K]

Answer:

The area of the shaded region is 148.04 cm².

Step-by-step explanation:

It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.

The sides of the rectangle are:

l = 7 cm

b = 6 cm.

The radius of the circle is, r = 6 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

                                            =[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04

Thus, the area of the shaded region is 148.04 cm².

8 0
3 years ago
Read 2 more answers
How to find the discriminant of
Sonbull [250]

the discriminant   b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0

13x^2-16x = x^2 -x

we need to get in it the standard form

subtract x^2 from each side

12x^2 -16x = -x

add x to each side

12x^2 -15x = 0

12x^2 -15x -0 =0

a=12 b=-15 c=0

b^2 -4ac

the discriminant = b^2

b^2 = (-15)2 = 225


5 0
3 years ago
The x-coordinate for an ordered pair in the solution set of x+2y=11 is 3.Find the y-coordinate
cestrela7 [59]

Answer:4

Step-by-step explanation:

8 0
3 years ago
) Which Measure of Central Tendency ALWAYS splits the data into a lower half and upper half?
pishuonlain [190]

Answer:

median

Step-by-step explanation:

i took the quiz for mr. lewis

7 0
3 years ago
HELP!! Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)
Liono4ka [1.6K]

<u>Answer</u>

C. 16 feet


<u>Explanation</u>

The area of a circle is given by the formula:

Area = πr² Where r is the radius of the circle and π = 3.1416

201.0624 = 3.1416 × r²

r² = 201.0624/3.1416

    = 64

r = √64

   = 8 feet

Diameter is twice the radius.

∴ diameter = 2r

                  = 2 × 8

                  = 16 feet


         

3 0
3 years ago
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