The slope of the line below is -3 which of the following is the point-slope form of the line? (2, -2)

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]

Answer:

48x^2 - 22x - 15

Step-by-step explanation:

(6x - 5)(8x + 3)

48x^2 + 18x - 40x - 15

48x^2 - 22x - 15

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Answer:

C

Step-by-step explanation:

V=lwh

4 times x times x

4 x^2

Answer:

5x^2 -3x +9

Step-by-step explanation:

(5x2 + 7) - (3x - 2)

Distribute the minus sign

5x^2 +7 -3x +2

Combine like terms

5x^2 -3x +9

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

https://brainly.com/question/21286835

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Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

Answer:

39,182 in expanded form:

Step-by-step explanation:

30,000 + 9,000 + 100 + 80 + 2

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]