All categories

3 years ago

Write 2^100 as an exponent with a base of: 4

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

4^50

Step-by-step explanation:

2^(2*50)=2^100

2^2=4

You might be interested in

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3).

Tatiana [17]

Answer:

A=25 (Rounded)

Step-by-step explanation:

4 0

4 years ago

I need help solving these problems please.

ddd [48]

5. 15 x 3/4 = 11.25

6. 10 x 1/2 = 5

7. 11 x 2 = 22

8. 12/1.5 = 8

5 0

3 years ago

Which point-slope form passes through the point (-2,1) and has a slope of 3?

elena-s [515]

The formula for point slope form is (y-y1) = m(x - x1)

In this formula m will always be the slope. So, you can substitute 3 in for m

(y-y1) = 3(x-x1)

y1 is the y-coordinate and x1 is the x-coordinate. So, you can substitute them in and you will be done.

(y - 1) = 3(x - (-2))

But since it is minus a negative it changes to a positive so it would be:

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

Hope this helps!

5 0

4 years ago

Find the value of the expression a? – b2 for a = 2 and b=1

docker41 [41]

Answer: $a^2-b^2=3$

Step-by-step explanation:

We need to find the value of the below expression i.e.

$a^2-b^2$ when a = 2 and b = 1.

So,

Put a = 2 and b = 1 in the above expression. So,

$a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3$

Hence, the value of the expression is equal to 3.

7 0

3 years ago

WILL GIVE BRAINLIEST

IrinaK [193]

Part one:

$x^2-8x=-26$

Rewrite in the form $(x+a)^{2} =b$

$\left(x-4\right)^2=-10$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

Solve $x-4=\sqrt{-10} : x=\sqrt{10} i+4$

Solve $x-4=\sqrt{-10} : x=-\sqrt{10} i+4$

$x=\sqrt{10}i+4,\:x=-\sqrt{10}i+4$

Part two:

$x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:26}}{2\cdot \:1}$

Simplify $\sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:26}}: 2\sqrt{10} i$

$=\frac{-\left(-8\right)\pm \:2\sqrt{10}i}{2\cdot \:1}$

Separate solutions

$x_1=\frac{-\left(-8\right)+2\sqrt{10}i}{2\cdot \:1},\:x_2=\frac{-\left(-8\right)-2\sqrt{10}i}{2\cdot \:1}$

$\frac{-(-8)+2\sqrt{10}i }{2*1} :4+\sqrt{10}i$

$\frac{-(-8)+2\sqrt{10}i }{2*1} :4-\sqrt{10}i$

$x=4+\sqrt{10}i,\:x=4-\sqrt{10}i$

7 0

3 years ago