The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?

Step-by-step explanation:

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ar vi ing

..............

Answer:

Step-by-step explanation:

Step 1:  Find slope of Linear function A

[tex]slope = \frac{y_2 - y_1}{x_2-x_1} = \frac{-5--1}{-4--2} = \frac{-5 +1}{-4+2} = \frac{-4}{-2} = 2[/tex]

Step 2 : Find slope of B

Since they are perpendicular to each other, product of their slope = -1

That is,

   [tex]m_A \times m_B = - 1\\2 \times m_B = -1\\\\slope, m_B = \frac{-1}{2}[/tex]

Given the function passes through (4, -6)

Equation of the linear function :

                                         [tex]x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -\frac{1}{2} (x - 4)\\\\y + 6 = -\frac{1}{2}x + 2\\\\y = -\frac{1}{2}x + 2 - 6 \\\\y = -\frac{1}{2}x -4[/tex]

Part B

Linear Function is parallel to B

Therefore the slope of B and slope of C are the same. And the equation will be of the form :

                   [tex]y = -\frac{1}{2} x + C[/tex]

Answer:

D

Step-by-step explanation:

(-32÷4)^2 -9 + (-7)

=(8)^2 -9 + (-7)

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Answer: 3/4

Step-by-step explanation:

Did the test

The required multiplicative rate in the given function is 3 / 4. Option B is correct.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
From the table of the exponential functions,
The multiplicative factor is given as,
K = y₂/y₁
K =  [9 / 8] / [3/2]
K = 3 / 4

Thus, the required multiplicative rate in the given function is 3 / 4. Option B is correct.

learn more about exponential function here:

brainly.com/question/15352175

#SPJ2

Answer:

if your in high school why you need the answer

Step-by-step explanation:

t f

hi i am a boy that does math at school

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Answer:

8

Step-by-step explanation:

Range is found by taking the largest number and subtracting the smallest number

The largest number is 9

The smallest number is 1

9-1 =8

The range is 8

Answer:

8

Step-by-step explanation:

Range = highest value - lowest value

Range = 9 - 1

Range = 8

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]

Answer:

-10<x<6

Step-by-step explanation:

Find where x starts and where x ends

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation:

Answer:

The correct solution is "10.92 meters".

Step-by-step explanation:

The given values are:

Center of the mirror,

= 1.22 meters

Base,

= 7.32 meters

Samantha's eye,

= 1.82 meters

Let the height of the building will be "x".

Now,

The height of the building will be:

⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]

By applying cross-multiplication, we get

⇒    [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]

⇒       [tex]=\frac{13.322}{1.22}[/tex]

⇒       [tex]=10.92 \ meters[/tex]

Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

(13+30c)/10

Step-by-step explanation:

Given the expression;

1/2 + 3c + 4/5

Find the LCM

= 5(1)+10(3c)+2(4)/10

=  (5+30c+8)/10

= (13+30c)/10

Hence the required sum is (13+30c)/10

Answer:

i don't know

Step-by-step explanation:

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the answer is 165 I think because I didn't understand the question

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

Given:

A right angle triangle with legs [tex]\sqrt{6}[/tex] cm and [tex]\sqrt{7}[/tex] cm. The length of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using the Pythagoras theorem, we get

[tex]x^2=(\sqrt{7})^2+(\sqrt{6})^2[/tex]

[tex]x^2=7+6[/tex]

[tex]x^2=13[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{13}[/tex]                  [Because side length is always positive]

The measure of hypotenuse is [tex]\sqrt{13}[/tex] cm.

Therefore, the correct option is B.

Answer:

63/10,  6.396,  6.99,  7 4/11

Step-by-step explanation:

Convert all to fraction or decimal

Answer:

c

Step-by-step explanation:

used socratic

Answer:

A = 5

B = -13

C = 7

Step-by-step explanation:

The general formula of quadratic equation is ax^2+bx+c.

Answer:

K= J-5

Step-by-step explanation:

Answer:

K=J-5

Step-by-step explanation:

First we have K+5=J, but we need to find K.

Move K to the other side of the equation, change the sign to subtraction, the opposite of addition, and there you have it!

K=J-5

Hope this helps!

--Applepi101