Katie ran 400 m at a speed of 6 m/s at the track meet. How long in seconds) did it take
Katie to run?

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 :)

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

Answer:

C

Step-by-step explanation:

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

Answer:

Associative

Step-by-step explanation:

Hope this helped!

Answer:

Im not sure but probably its B

Answer:

I believe the answer is A. This is because 15 less than a would be a-15, and since it's asking for the quotient of 15 less than a and 10, it would be a-15/10.

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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Answer:

The dependent variable is the size of the carton

The independent variable is the amount of items

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.

Answer:

11

Step-by-step explanation:

[tex]101011_{2 = } 43_{10} \\ 1101_{2} = 13_{10} \\ \frac{43}{13} =3.3076923076923 \\ 3.3076923076923_{10} = 11_{2}[/tex]

Answer:

67.28

Step-by-step explanation:

uh I'm kinda unsure but I think you could try isolating the variable? so you could try 942 ÷ 14 = 67.28? just a guess, tell me if it works out!

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:

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 =)

.

Step-by-step explanation:

20 pennies weigh 54 grams.

what is the weight of a single penny ?

well, 1/20 of the weight of the 20 pennies.

so,

54/20 = 27/10 = 2.7 grams

all his pennies weigh 918 grams.

how many pennies are there ?

as many as the times the weight of a single penny fit into the total weight.

so,

918 / 2.7 = 9180/27 = 340

he has 340 pennies.

Answer:

The slope is 4/3.

Step-by-step explanation:

Hope this helps!

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:

2^12

Step-by-step explanation:

I know that 128 is 32 x 4, so 128 is 2^5 x 2 x 2 = 2^7. Thus,

128 x 32 = 2^5 x 2^7.

The last step is to realize that if two factors have the same base (in this case, both bases are 2), then you can add the exponents:

2^5 x 2^7 = 2^5+7= 2^12.

And that is in exponential form. So the final answer is

128 x 32 = 2^12

Answer:

[tex]128 \: \: is \: \: 32 \times 4, \\ \\ so 128 is  {2}^{5}   \times 2 \times 2 = {2}^{7} . \\ \\ Thus, 128 \times 32 = {2}^{5} \times {2}^{7} .[/tex]

Answer:

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

Answer:

1. D.

2. B.

Step-by-step explanation:

1. D. None of the above.

If the three angles of one triangle are congruent to the three angles of another triangle, the triangles are similar, but there is not enough information to prove they are congruent.

2.

The given information gives us a side and an adjacent angle of each triangle.

Since all choices involve sides, we need another pair of sides to use SAS. The angle must be included by the two sides.

We need sides DF and JH to be congruent.

By knowing that DH is congruent to JF, you add HF to both segments giving DF congruent to JH, and the triangles are congruent by SAS.

Answer: B.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The can is actually cylindrical, so the volume will be :

[tex]\pi {r}^{2} h[/tex]

where,

so,

Let's find the surface area of can with label :

Surface area of entire can ~

Answer:

40$

Step-by-step explanation:

if we write it out in an equation, we get

105(final price) = 3x (triple the value they produce it for) - 15 (they degrease it by 15)

subtract 15 from both sides, you get 120 = 3x

divide both sides by 3, you get 40 = x

Answer:

C

Step-by-step explanation:

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

Answer:

y = 2x + 5

Step-by-step explanation:

Finding the slope:

[tex]\frac{y2-y1}{x2-x1}\\[/tex]

= (1-(-3))/(-2-(-4))

= (1+3)/(-2+4)

= 4/2

= 2

Slope: 2

Substituting the slope into the formula 'y=mx+c':

y = 2x+c

Substituting any point (in this case, (-2,1)):

1 = 2(-2) + c

1 = -4 + c

c = 1 + 4

c = 5

Hence,

y = 2x + 5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

The third graph, the top right graph

Step-by-step explanation:

A function when determined graphically is a graph that passes the straight line test, which means if there is any two points on the graph which you can plot a vertical straight line going through both of them it is not a function.  If 1 x value is equal to 2 y values, it is not a function.

Answer:

[tex]\boxed {\sf-6p-78}[/tex]

Step-by-step explanation:

[tex]\sf -5\left(3p+3\right)+9\left(-7+p\right)[/tex]

Expand:

[tex]\sf -5\left(3p+3\right)[/tex]

[tex]\sf -15p-15[/tex]

Expand:

[tex]\sf 9\left(-7+p\right)[/tex]

[tex]\sf -15p-15+9\left(-7+p\right)[/tex]

[tex]\sf -15p-15-63+9p[/tex]

[tex]-6p-78[/tex]

Answer:

10

Step-by-step explanation:

use Pythagoras Theron

a^2+b^2=c^2

let ms know if you have further questions

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=(5√3)^2+5^2[/tex]

[tex]\\ \sf\longmapsto H^2=75+25[/tex]

[tex]\\ \sf\longmapsto H^2=100[/tex]

[tex]\\ \sf\longmapsto H=10[/tex]

Answer:

its 175

Step-by-step explanation:

Just do the calculations backwards or solve equation

Answer:

LCM of 12 and 10= 60

hope this helps <3

10 and 12

the LCM

prime factorization of 10:

[tex] = 2 \times 5[/tex]

prime factorization of 12:

[tex] = {2}^{2} \times 3[/tex]

LCM=

[tex] {2}^{2} \times 3 \times 5[/tex]

[tex] = 60[/tex]

therefore, the LCM of 10 and 12 is 60.

Answer:

(7,2)

Step-by-step explanation:

have a lovely day