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3 years ago

Evaluate 7^35 7^-21 7^-8

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

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What is the length of BC in the right triangle below? A. ^234 B. 234 c. ^216 D. 216

Savatey [412]

We can use the pythagorean theorem to solve this

The pythagorean theorem = a^2 + b^2 = c^2, while

a = one leg

b = the second leg

c = the hypotenuse

In this problem,

a = 3

b = 15

c = ?

Let's plug our values into the pythagorean theorem

(3)^2 + (15)^2 = c^2

9 + 225 = c^2

Add together the left side

234 = c^2

Take the sqrt of both sides

sqrt(234) = c

The length of BC = sqrt(234)

4 0

3 years ago

A line passes through the points (-1, -1)

Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

$y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))$

$y+1=\dfrac{8+1}{5+1}(x+1)$

$y+1=\dfrac{9}{6}(x+1)$

$y+1=\dfrac{3}{2}(x+1)$

Multiply both sides by 2.

$2(y+1)=3(x+1)$

$2y+2=3x+3$

$2y=3x+3-2$

$y=\dfrac{3}{2}x+\dfrac{1}{2}$

So, the equation of the line is $y=\dfrac{3}{2}x+\dfrac{1}{2}$ .

Now, check each point for this equation.

Putting $x=-3$ , we get

$y=\dfrac{3}{2}(-3)+\dfrac{1}{2}$

$y=\dfrac{-9+1}{2}$

$y=\dfrac{-8}{2}$

$y=-4$

Similarly,

For $x=9,y=15$ .

For $x=1,y=2$ .

For $x=4,y=6.5$ .

For $x=3,y=5$ .

For $x=-2,y=-2.5$ .

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0

3 years ago

What is the rate of change (2,20) and (5,47) ?

ipn [44]

Answer:

3,27

Step-by-step explanation:

3 0

2 years ago

Ella collects 50 bottles to recycle.Of the bottle she collects 19 are plastic and the rest are glass.What percent of the bottles

gulaghasi [49]

Glass bottles =total number of bottles - numeber of bottle of plastic
gass bottles=50-19=31 bottles of glass.

percent of the bottles are glass=(number of bottles of glass*100%) / total number of bottles.

percent of the glass bottles=(31 bottles * 100%) / 50 bottles=62%

Answer: the percent of the bottles of glas is 62%

8 0

3 years ago

1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:

MA_775_DIABLO [31]

Answer:

Cuadrilátero A: $A = y^{2}+4\cdot y +4$