Sam completed the square for the quadratic equation y=1/2x^2−2x+3 in order to determine the minimum value of the equation, as shown.

Answer:

y = -1x - 2/2

Step-by-step explanation:

Slope is -1

B = 2/-2

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

Answer:

11/40

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-6 is further to the left in the number line.

Answer:

1: slope; 3, y intercept; 3

2: slope; -1, y intercept; -2

3: slope; -4, y intercept; 4

4: slope; 1, y intercept; 0

Step-by-step explanation:

also, equation is y =mx+b

y intercept = b

m = slope

y axis = y

x axis = x

Answer:

13

Step-by-step explanation:

13p + 15

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of [tex]ax^{n}[/tex] is [tex]nax^{n} ^{-1}[/tex]

[tex]13p^{1-1}[/tex]

subtract 1 from 1

[tex]13p^{0}[/tex]

For any term t except 0, [tex]t^{0}[/tex] = 1

13 × 1

For ant term t, t × 1 = t and 1t = t

13

PS: Happy Almost Halloween too =)

.

Answer:

thank you...........................................

Answer:

175

Step-by-step explanation:

m<1=87

92x2=184

184-360=176

176/2=88

m<2=88

m<1+m<2=

87+88=175 degrees

Answer:

GF = FH

Step-by-step explanation:

GEF & FIH

EF = FI (equal)

GEF = FIH (alternate angle)

EG = HI (parallel sides equal)

GEF & FIH are congruent, under the case of (SAS)

therefore, GF = FH (corresponding angle)

Answer:

answer choice c!

Step-by-step explanation:

hope this helps!

A reflection is when you "flip" the shape across the axis.

Choice C would work because you can flip triangle a and make d over the x axis

Answer:

the answer would be  -16/5

Step-by-step explanation:

Answer:

[tex]x = - \frac{16}{5} [/tex]

Step-by-step explanation:

[tex] \frac{x + 5}{x + 8} = \frac{3}{8}[/tex]

8 (x + 5) = 3 (x + 8)

8x + 40 = 3x + 24

8x - 3x = 24 - 40

5x = -6

x = -16 ÷ 5

x = -16/5

Answer:

Area: AB × AD × sin 74= 8.9×6.7×24/25= 57.244 cm^2

im pretty sure its: x = 4 (like 90% sure)

Answer:

v2=U2+2as

v2-U2=U2-U2+2as

v2-U2=2as

(v2-U2)/2a=2as/2a

v2-U2/2a=s

s=(v2-U2)/2a

Answer:

Step-by-step explanation:

Answer:

The answer is 12x - 17.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-6 is more to the left of the number line than -3

Answer:

5x104

Step-by-step explanation:

Answer:

5 * 10⁴

Step-by-step explanation:

50,000 is 5 * 10,000

10,000 = 10⁴

Thus, 50,000 = 5 * 10⁴

Answer:

24 + 3v

Step-by-step explanation:

multiply 3 with 8

and

multiply 3 with v

Answer:

3(8+v)

3*8=24

3*v=3v

24+3v

Step-by-step explanation:

Multiply 8 by 3 and v by 3 to get 24+3v

Answer:

(7,2)

Step-by-step explanation:

have a lovely day

Answer:

its 175

Step-by-step explanation:

Just do the calculations backwards or solve equation

Answer:

[tex]-x^2+x-1[/tex]

Step-by-step explanation:

Thanks!!!!

The composition of function f ( x ) / g ( x ) = -x² + x - 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - x³ + x²

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = -x²

Now , the composition of function is ( f/g ) ( x )

On simplifying , we get

( f/g ) ( x ) = f ( x ) / g ( x )

f ( x ) / g ( x ) = x⁴ - x³ + x² / -x²

f ( x ) / g ( x ) = -x² + x - 1

Hence , the function is A = -x² + x - 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

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Step-by-step explanation:

4 ) 12 × 12

= 144

6 ) 10 × 10 × 10 × 10 × 10

→ 100000

• it's also a mathematical symbol for multiply by similar to × and *.

hope this answer helps you dear..take care!

Answer:

4= 144. 6= 100000

Step-by-step explanation:

use a calculator to get the answers

Step-by-step explanation:

F(x)=2x

but x= 4

F(x)= 2(4)

F(x)= 8

1/8 is same as 8

0.125

Answer:

Step-by-step explanation:

Answer:

a) 8:20

b) 14:28

Step-by-step explanation:

If she has increased by 75% in a week to get 14000 points then  we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.

175% * x = 14000

1.75x =14000     Divide both sides by 1.75

x= 8000

So she had 8000 points last week.

Check:

175% * 8000= 14000

1.75 * 8000 = 14000

  14000 = 14000

Answer:

8,000 points

Step-by-step explanation:

x + 0.75x = 14,000 (the initial amount of points X plus 0.75x)

1.75x = 14000

x = 14000/1.75

x = 8,000

Answer: -1

So I Simplify the expression to the math problem -7+2 +4 = and got -1

Answer:

I don't know if I can you go outside and I can go to the store and get a little

Step-by-step explanation:

[tex]\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}[/tex]

[tex]\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}[/tex]

Taking sin²θ common in both numerator & denominator, We get :

[tex]\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}[/tex]

[tex]\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}[/tex]

[tex]\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}[/tex]

[tex]\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}[/tex]

[tex]\mathsf{\implies \dfrac{5 - 1}{5 + 1}}[/tex]

[tex]\mathsf{\implies \dfrac{4}{6}}[/tex]

[tex]\mathsf{\implies \dfrac{2}{3}}[/tex]

Hence, option (a) 2/3 is your correct answer.