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4 years ago

There are 80 tens write how many hundred

Mathematics

1 answer:

OverLord2011 [107]4 years ago

4 0

It is 8. Because 80×10=800
800=8 hundreds

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

What is the simplified value of the expression below?

Karolina [17]

4(-8+4.5)
-32+18
-14

6.25+(-8.25)
-2

-14/-2

7

The answer is 7.

5 0

3 years ago

Read 2 more answers

Could the following side lengths form a right triangle? Elplain 11,60,61

Bogdan [553]

Answer:

Yes

Step-by-step explanation:

A^2+B^2=C^2

11^2+60^2=61^2

121+3600=3721

3721=3721

5 0

2 years ago

Perform the requested operation or operations. f(x) = x-5/8 g(x) = 8x + 5 find g(f(x))

NARA [144]

Just to confirm is it x-5/8 or (x-5)/8

5 0

4 years ago

Read 2 more answers

What is a rational and irrational number?

KIM [24]

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Step-by-step explanation:

hope it helps :)))

8 0

3 years ago