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2 years ago

What is 78,400,000 expressed in scientific notation?

Mathematics

1 answer:

Virty [35]2 years ago

6 0

Answer:

7.84 × 10 ^7

Step-by-step explanation:

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Hellpppp what's the missing number? 7/16 = ?/64 a) 4 b) 21 c) 28 d) 55

Gnom [1K]

Answer: 28

EXPLANATION:
16 ÷ 64 = 4
7 x 4 = 28

3 0

3 years ago

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Oder of operations:Evaluate each expression 32÷8×4

ra1l [238]

Answer:

Step-by-step explanation:

32÷8×4

4×4

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3 years ago

Complete the following exercises by applying polynomial identities to complex numbers. Factor x2 + 64. Check your work. Factor 1

Mumz [18]

$x^2+64=x^2-(8i)^2=(x-8i)(x+8i)$

$16x^2+49=(4x)^2-(7i)^2=(4x-7i)(4x+7i)$

$(x+9i)^2=x^2+2x\cdot9i+(9i)^2=x^2+18xi+81i^2=x^2+18xi-81=x^2-81+18xi$

$(x-2i)^2=x^2-2x\cdot2i+(2i)^2=x^2-4xi+4i^2=x^2-4xi-4=x^2-4-4xi$

$(x+(3+5i))^2=x^2+2x(3+5i)+(3+5i)^2\\\\=x^2+6x+10xi+3^2+2\cdot3\cdot5i+(5i)^2\\\\=x^2+6x+10xi+9+30i+25i^2=x^2+6x+10xi+9+30i-25\\\\=x^2+6x+10xi+30i-16=x^2+6x-16+(10x+30)i$

$Used:\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\\\(a+b)^2=a^2+2ab+b^2$

4 0

3 years ago

Read 2 more answers

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

Anettt [7]

Answer:

B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

Refer to attached.

Plot the point and connect in order FLAG.

We see

FL ║ GA
GF ║ AL
FA and GL are not perpendicular

All the above can be confirmed by calculating the slopes:

m(FL) = (3 - 5)/(6 - 1) = -2/5
m(GA) = (1 + 1)/(-2-3) = -2/5
These are same.

m(GF) = (5 - 1)/(1 + 2) = 4/3
m(AL) = (3 + 1)/(6 - 3) = 4/3
These are same

m(FA) = (-1 - 5)/(3 - 1) = -3
m(GL) = (3 - 1)/(6 +2) = -1/4
These are negative but not reciprocal

The quadrilateral is a parallelogram.

Correct choice is B

3 0

3 years ago

Read 2 more answers

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago