factoring-16w²+50wz-21z² please help me solve

Answers

Answer 1

Answer: $-16w^2+50wz-21z^2=-(16w^2-50wz+21z^2)=\n\n=-(16w^2-8wz-42wz-21z^2)=\n\n-[8w(2w-z)-21z(2w-z)]=-(2w-z)(8w-21z)$

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The shortest distance from a point to a straight line is

Answers

a line perpendicular to that straight line passing through that point

Orígenes de los números naturales

Answers

The natural numbers are presumed to have started before recorded history when humans began to count things. The Babylonians developed a place-value system based on the numerals for 1 (one) and 10 (ten). The ancient Egyptians added to this system to include all the powers of 10 up to one million.

Find the product.(-d + 4)(-d - 4)
-d2 - 16
d2 - 16
d2 + 16
d2 - 8d - 16

Answers

(-d + 4) (-d - 4) = 0
-d(-d - 4) + 4(-d - 4) = 0
d² + 4d - 4d - 16 = 0
d² - 16 = 0 2nd choice.

We can find the value of d.
d² - 16 = 0
d² = 16
√d² = √16
d = 4

to check:
(-4+4) (-4 - 4) = 0
0 (-16) = 0
0 = 0

Multiplication property of 0. Any number multiplied by 0 is equal to 0.

Y=2x-1 Graph the equation? (steps please thanks!)

Answers

$y=2x-1\n\ny-intercept\ (x=0)\n\ny=2\cdot0-1=-1\to(0;-1)\n\nx-intercept\ (y=0)\n\n2x-1=0\n2x=1\nx=0.5\to(0.5;\ 0)$

There are many ways to graph this equation.
Here's one that you should be able to manage:

-- Pick any number at all for 'x'.
[ y = 2x - 1 ], so double your number and subtract 1 to find 'y'.
Mark a point on your graph at (x, y) .

-- Pick any different number at all for 'x'.
[ y = 2x - 1 ], so double your number and subtract 1 to find 'y'.
Mark a point on your graph at (x, y) .

-- Using your pencil and ruler, connect the two points that you have marked
on your graph. Without moving the ruler, you may extend the line as far as you
want in each direction.

Jim’s allowance is $1.20 per week. Stan’s is 25¢ per day. How long will they have to save, if they save both their allowances together, before they can get a model car set that
costs $23.60?

Answers

first, find out how much stan gets per week.

.25 x 7 =1.75

now how much they get together

1.75 + 1.20 = 2.95

and then the final step

23.60 / 2.95 = 8

it'll take 8 weeks for them to buy the model car set

Find the solution of the equation 1/2x^2 -x +5=0

Answers

If you would like to solve the equation 1/2 * x^2 - x + 5 = 0, you can do this using the following steps:

1/2 * x^2 - x + 5 = 0 /*2
x^2 - 2x + 10 = 0
(x - 1)^2 + 9 = 0
1. x = 1 - 3 * i
2. x = 1 + 3 * i

The correct result would be x = 1 - 3 * i and x = 1 + 3 * i.

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The product of two consecutive integers is 110. find the integers?