How to find the slope of a line passing through (-3,3) , (-5,9)

Answers

Answer 1

Answer:

slope = - 3

Step-by-step explanation:

[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}[/tex]    ,    [tex][ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ][/tex]

[tex]slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3[/tex]


Related Questions

In the given figure alongside,prove that
Triangle ABC is simalar to Triangle SRT
Find the length of AC​

Answers

Answer:

let's use Pythagoras theorem,

h²=b²+l²

so,

ad²=ac²+dc²

6²=ac²+3²

36-9=ac²=27

√27 can be written as 3√3,

hence ac= 3√3

f(2) if f(x) = (x + 1)2.

Answers

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6

El perímetro de un rectángulo es 58 y su base excede en 10 a su ancho, ¿Cuánto mide la base? AYUDAAAA

Answers

Answer:

The base is 19.5.

Step-by-step explanation:

The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"

Perimeter = 58

Base, l = 10+b

The perimeter of a rectangle is :

P = 2(l+b)

58 = 2(10+b+b)

29 = (10+2b)

29-10 = 2b

19 = 2b

b = 9.5

Base, l = 10 + 9.5

= 19.5

Hence, the base is 19.5.

Is Mercury is a gas giant, and because it is hot, it is named after the mercury in a thermometer.

Please give real answers with explaination. I will follow + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Mercury is the smallest and fastest planet in the solar system. It is also the closest planet to the sun. It is named after the Roman messenger god Mercury, the fastest Roman god.

Juan works at a retail store. He earns $6 an hour plus 1 $5 bonus each time he gets someone to sign up for the stores credit card.
Write a formula that will help Juan determine how much he will earn in one week.
a= total amount earned
h= hours worked in one week
b= number of cards sold in one week

Answers

Answer:

6h + 5b = a

Step-by-step explanation:

Hihi , please help if able.

Answers

Answer:

9(9m + 3t) = 81m + 27t

Step-by-step explanation:

With brackets with more than one term inside multiplied by a number;

The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;

So, in this case, the number 9 must be multiplied by each term inside the brackets:

9 × 9m = 81m

9 × 3t = 27t

So to expand, opening the brackets, you get:

81m + 27t

Solve 36 = byx for y.
y=-

Answers

Step-by-step explanation:

Simplifying

36 = byx

Solving

36 = bxy

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1bxy' to each side of the equation.

36 + -1bxy = bxy + -1bxy

Combine like terms: bxy + -1bxy = 0

36 + -1bxy = 0

Add '-36' to each side of the equation.

36 + -36 + -1bxy = 0 + -36

Combine like terms: 36 + -36 = 0

0 + -1bxy = 0 + -36

-1bxy = 0 + -36

Combine like terms: 0 + -36 = -36

-1bxy = -36

Divide each side by '-1xy'.

b = 36x-1y-1

Simplifying

b = 36x-1y-1

Answer:

y = [tex]\frac{36}{bx}[/tex]

Step-by-step explanation:

Given

36 = byx ( isolate y by dividing both sides by bx )

[tex]\frac{36}{bx}[/tex] = y

What is the completely factored form of this polynomial?
x^4- 8x^2 + 16
A. (X+2)^2(x-2)^2
B. (x^2-4)^2
C. (x^2+4)(x+2)(x-2)
D. (x+2)(x-2)

Answers

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15

Answers

Answer:

last one

Step-by-step explanation:

The answer is $3.15 I got this by dividing 26.46 by 8.4

Surface area is the sum of the areas of all the surfaces of a three-dimensional object.
(True or false)

Answers

Answer: True

Think of a 3D box. It has 6 faces and the surface area is the total of all six individual rectangular faces. This idea applies to any polyhedron.

Answer plsssss………………

Answers

Answer:

The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.

Two lines are parallel if, at any point, the distance between these two lines is always the same.

Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)

Thus, these lines are not parallel.

Then the corresponding angles theorem can not be used here, and we have that:

∠9 ≠ ∠10

What is the area of the circle in terms of pi?

Answers

Answer:

[tex]4.2025\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, we're given a diameter of 4.1. All diameters of a circle are exactly 2 times the length of all radii of the circle. Therefore, the radius of the circle is [tex]4.1\cdot \frac{1}{2}=2.05[/tex].

Thus, the area of the circle is [tex]2.05^2\pi=\boxed{4.2025\pi\:\mathrm{m^2}}[/tex]

4.2025 is the correct answer to your question !!

Please helppppppppp meeeeeee

Answers

Answer:

m∠B = 94º

Step-by-step explanation:

Supplementary angles total 180

(8x + 6) + ( 7x + 24) = 180

Combine like terms

15x + 30 = 180

15x = 150

x = 10

m∠B = 7x + 24

m∠B = 7(10) + 24

m∠B = 94º

Please solve with explanation

Answers

Step-by-step explanation:

total wood= 45½=22.5 units

cut wood= 8⅞= 7 units

wasted wood= 1/16=0.06

now wood left is,

total wood -cut wood-wasted wood

22.5-7-0.06

15.44 units

What’s the equation of the blue line?

Answers

Answer:

Step-by-step explanation:

The equation of blue line A is x = 1.

That of blue line B is y = 4.

Which of the following is NOT true about mathematical induction?

A.The first possible case is always n = 1.

B.Mathematical induction depends on a recursive process.

C.It can be used to prove that 1 + 2 + 3+...+n =
n(n+2)
2

D. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely.​

Answers

Answer:

A. the first possible case is always n = 1

Step-by-step explanation:

Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers

Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0

Therefore, the statement which is not true is that the first possible case is always n = 1

f(x)=15x³+22x²-15x+2
Write f(x) as a product of linear factors.

Answers

Answer:

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Step-by-step explanation:

[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

[tex]15 {x}^{2} - 8x + 1[/tex]

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

[tex]15 {x}^{2} - 5x - 3x + 1[/tex]

Factor by grouping

[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]

[tex]5x(3x - 1) - 1(3x - 1)[/tex]

So our factor are

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

?...............................

Answers

Answer:

-2 ≤ n < 8

Step-by-step explanation:

_________________

In the triangles, GK PN and HG 2MP.
Which statement correctly compares the angles?
H
M
Angle G is congruent to angle P.
O Angle G is smaller than angle P.
O Angle G is larger than angle P.
O Angle G is congruent to angle N.
32 cm
40 cm
G
K
P
N

Answers

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

The statement which correctly compares the angles is Angle G is smaller than angle P.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

Given that,

GK is congruent to PN.

HG is congruent to MP.

Also, given that,

HK = 32 cm and MN = 40 cm

Angle G is opposite to the side HK.

Angle P is opposite to the side MN.

Angles opposite to the greater side will be greater.

So angle P is greater than angle G

Or, angle G is smaller than angle P.

Hence, Angle G is smaller than angle P.

Learn more about Angles here :

https://brainly.com/question/11846909

#SPJ7

Joe and Becky are buying fish for their new aquarium. The expression 3g + 4a represents the cost in dollars of buying fish
where 'g' is the number of guppies purchased and 'a' is the number of angel fish purchased. Find the cost of fish if they buy 12 guppies and 4 angel fish. Explain your work.

Answers

Answer:

$52

Step-by-step explanation:

Find the cost by plugging in 12 as g and 4 as a into the expression:

3g + 4a

3(12) + 4(4)

36 + 16

= 52

So, the cost will be $52

P is in the shape of a circle. Q is in the shape of a quarter circle of radius 20 cm. P Q 20 cm The area of Q is 4 times the area of P. Work out the radius of P. You must show all your working.

Answers

(1) Find area of Q:
a = pi (r^2)
= pi (20^2)
= pi (20cm)(20cm)
= 400cm^2

(2) Find area of P:
400/4 = 100cm^2

(3) Find radius of P:
100cm^2/pi = pir^2/pi
sq. root of 100 = sq. root of r^2
r = 10 cm


Answers;
radius (Q) = 20cm
area (Q) = 400cm^2

radius (P) = 10cm
area (P) = 100cm^2

Find the value of x in the triangle shown below

Answers

Answer:

x = 48°

Step-by-step explanation:

Two sides of the triangle are equal, both 7, Then the 2 base angles are congruent, both 66°

The sum of the 3 angles in the triangle sum to 180° , so

x = 180° - (66 + 66) = 180° - 132° = 48°

Answer:

[tex]{ \tt{x + 66 + 66 = 180}} \\ x = 48 \degree \\ \\ { \boxed{ \bf{or : }}} \\ { \bf{ from \:lamis \: theorem : }} \\ { \tt{ \frac{5.7}{ \sin(x) } = \frac{7}{ \sin(66 \degree) } }} \\ \\ { \tt{x = { \sin }^{ - 1}( \frac{5.7 \times \sin(66 \degree) }{7} ) }} \\ x = 48 \degree[/tex]

All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.

Answers

Answer:

15

Step-by-step explanation:

50 * .30=15

determine the equation of the circle graphed below.

( help me please )

Answers

Answer:

(x+5)²+(y-4)²=17

Step-by-step explanation:

I think it's safe to assume that the (-5,4) coordinate is in the center

To find the x and y coordinate just flip the signs

which means it would look like

(x+5)²+(y-4)²=?

the question mark is equal to the raidus squared

to find the radius use the distance formula

√((-4+5)²+(8-4)²)= 4.123106

square this to get 17

the final answer is then

(x+5)²+(y-4)²=17

According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 OF) = 10x - 729 Fox) = 25x4.72​

Answers

Answer:

Option (4)

Step-by-step explanation:

Option (1)

f(x) = 4x⁴- 7x²+ x + 25

Possible rational roots will be,

[tex]\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}[/tex]

For the given function,

Possible rational roots = [tex]\frac{\pm 1, 5, 25}{\pm 1,2}[/tex]

                                      = [tex]\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (2)

f(x) = 9x⁴- 7x²+ x + 10

Possible rational roots = [tex]\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (3)

f(x) = 10x⁴- 7x²+ x + 9

Possible rational roots = [tex]\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is not the possible root.

Option (4)

f(x) = 25x⁴- 7x²+ x + 4

Possible rational roots = [tex]\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}[/tex]

                                      = [tex]\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}[/tex]

Therefore, [tex]-\frac{2}{5}[/tex] is the possible rational root.

Option (4) will be the answer.

Find the equation of the line that passes through the point (-5,7) and is perpendicular to the line y=-x+12.

Answers

Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12

Solve for w. Show your work! 5w + 16 - 9 - 8w = 19


I'll give brainly

Answers

5w+16-9-8w=19
-3w+7= -7
-3w=12
W=-4

Solve the equation below :

7/8 = q + 1/2

A : q = 3/8


B : q = 1 3/8


C : q = 7/16


D q = 1 3/4

Answers

Answer:

q = -3/8

Step-by-step explanation:

Clearing out the fractions first simplifies this problem.  The LCD here is 8, so we multiply all three terms of 7/8 = q + 1/2 by 8 and simplify the result:

7 + 8q = 4.  

Combining the constants, we get:  8q = 4 - 7, or 8q = -3.

Finally, solve for q:

q = -3/8

Select the outlier in the data set.
93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?


Answers

Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

In the circle below, segment AB is a diameter. If the length of are ACB is 6pi what is the length of the radius of the circle?

Answers

Answer:

The radius is 6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

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