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3 years ago

7

What is the area of this shape?

1 answer:

Orlov [11]3 years ago

5 0

Answer:

A = 323

Step-by-step explanation:

Multiply the base x the height.

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My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How ol

Vinvika [58]

Given:

Sum of ages of brother and sister = 15

Product of their ages = 54

To find:

How old is the older one between the two of them?

Solution:

Let x be the age of brother and y be the age of sister.

Sum of ages of brother and sister = 15

$x+y=15$

$x=15-y$ ...(i)

Product of their ages = 54

$xy=54$

$(15-y)y=54$ [Using (i)]

$15y-y^2=54$

$0=54-15y+y^2$

Splitting the middle term, we get

$54-15y+y^2=0$

$54-9y-6y+y^2=0$

$9(6-y)-y(6-y)=0$

$(6-y)(9-y)=0$

Using zero product property, we get

$(6-y)=0\text{ and }(9-y)=0$

$y=6\text{ and }y=9$

If $y=6$ , then using (i), we get

$x=15-6$

$x=9$

If $y=9$ , then using (i), we get

$x=15-9$

$x=6$

Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.

6 0

3 years ago

4. The binomial 12x+15 is equivalent to

shepuryov [24]

Answer is (4) 3(4x+5)

7 0

3 years ago

1. Use the graph of the rational function

Mrrafil [7]

Answer:

As $x \to -3^{+}, f(x) \to -\infty$

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at $x=-3\ and\ x=2$

The function has horizontal asymptote at $f(x)=0$

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as $x \to -3^{+}$ means the right hand limit of the function at $x=-3$

From the graph, the right hand limit is the right side of the asymptote of the function at $x = -3$ . The right side shows that the function is tending towards negative infinity.

Therefore, As $x \to -3^{+}, f(x) \to -\infty$

4 0

4 years ago

Solution or not a solution<br><br> and because

tamaranim1 [39]

Step-by-step explanation:

X + Y = -3

X + 3x +5 = -3

X=-2

X+Y=-3

Y=-3+2

Y=-1

5 0

3 years ago

Anyone know the answer?

valentina_108 [34]

Tan(10)=x/500
x=tan(10)*500
x= 88.2

Hope this helps!

4 0

4 years ago