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3 years ago

i need to subtract decimals. i have the answers I just need the work. problems 3.12- 2.52, 3.6-1.8 and 4.1 - 27. thank you

1 answer:

7 0

A way you can show work is just not use the commas then subtract then put the commas in when you're done. And, if the bigger number isn't as big or has as many numbers behind the decimal as the first one, add a zero at the end.

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Complete the equation of the line through (2,1) and (5,-8)

Mila [183]

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

7 0

3 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

Factored form of a parabola

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

-12x + 2 y = 8 -6x + y = -3

maxonik [38]

Answer:

PEMDAS

Step-by-step explanation:

USE PEMDAS

8 0

2 years ago

Write an equivalent form of the exponential expression: (x4)3

ELEN [110]

Answer:

x¹²

Step-by-step explanation:

You need to indicate which terms are exponents. For example, (x⁴)³ can be written as (x^4)^3.

(x⁴)³ = x⁴*³ = x¹²

5 0

2 years ago

Is 1 1/4 + 1 1/4 = 2 3/4 correct?

laila [671]

Answer:

Step-by-step explanation:

11/4 plus 11/4 is 22/4

to make this a whole number and a fraction we subtract 4 from the 22 as many times as we can. we can do this 5 times, with 2 left over.

the answer is 5 2/4, which you can simplify to 5 and a half

7 0

2 years ago

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