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3 years ago

HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C

Mathematics

2 answers:

OLEGan [10]3 years ago

5 0

Answer:

Which subject is this . please tell

larisa86 [58]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

(a)

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = (8, 3) and (x₂, y₂ ) = (10, 7)

m = $\frac{7-3}{10-8}$ = $\frac{4}{2}$ = 2

(b)

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

(c)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{1}{2}$ , then

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (8, 3) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - $\frac{1}{2}$ x + 7 ← equation of perpendicular line

--------------------------------------------------------------------------

(a)

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 4)

m = $\frac{4-5}{4-3}$ = $\frac{-1}{1}$ = - 1

(b)

$m_{perpendicular}$ = - $\frac{1}{-1}$ = 1

(c)

y = x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = x + 2 ← equation of perpendicular line

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A triangle can have at most ________ right angle.

andrey2020 [161]

A triangle can only have at most one right angle.

Here's a proof that shows why this is so:

We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C

A + B + C = 180

Let's show that having two right angles is impossible

Let A = B = 90

90 + 90 + C = 180

180 + C = 180

Subtract 180 from both sides

C = 0

We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.

Let's try to show that it's impossible to have 3 right angles

Let A = B = C = 90

90 + 90 + 90 = 180 ?

270 ≠ 180

Thus it's impossible to have 3 right angles as well.

Let's show that is possible to have 1 right angle

Let A = 90

90 + B + C = 180

Subtract both sides by 90

B + C = 90

There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.

Have an awesome day! :)

3 0

2 years ago

There are values of t so that sin t=.35 and cos t=.6

NISA [10]

Recall the fundamental rule of trig:

$\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}$

So, there exists an angle $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

if and only if

$\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1$

Working out the numbers, we get

$0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1$

So, there doesn't exist a number $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

7 0

3 years ago

What is this trinomial in factored form? 3a^2-2a-1

Dafna1 [17]

<span>Simplifying 3a2 + -2a + -1 = 0 Reorder the terms: -1 + -2a + 3a2 = 0 Solving -1 + -2a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -3a)(1 + -1a) = 0 Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve: Simplifying -1 + -3a = 0 Solving -1 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = 0 + 1 -3a = 0 + 1 Combine like terms: 0 + 1 = 1 -3a = 1 Divide each side by '-3'. a = -0.3333333333 Simplifying a = -0.3333333333 Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solutiona = {-0.3333333333, 1}</span>

4 0

3 years ago

Please help me i’ve tried so many of these and i can’t figure out how to do it

zheka24 [161]

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

$V_{A}$ = π × 10² × 11 = 1100π ft³

$V_{B}$ = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

$\frac{left}{full}$ × 100%

= $\frac{169\pi }{1100\pi }$ × 100%

= $\frac{169}{1100}$ × 100%

= 15.4% ( to the nearest tenth )

6 0

3 years ago

Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She

Aneli [31]

Answer: Hello your question is incomplete below is the missing part

Which of the following statements about Hannah’s claim is supported by the interval?

A) Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.

B) Hannah is likely to be incorrect because 9 is not contained in the interval.

C)The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.

D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.

E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.

Answer : Hannah is likely to be incorrect because 9 is not contained in the interval. ( B )

Step-by-step explanation:

The statement that is supported by the interval in Hannah's claim is that

Hannah is likely to be incorrect because 9 is not contained in the interval.

5 0

3 years ago

HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C​

HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C