Factorise
Please with full method

Answer:

[tex]\displaystyle y = -4x - 5[/tex]

Step-by-step explanation:

We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:

[tex]\displaystyle y = \frac{1}{4} x - 4[/tex]

Note that this line has a slope of 1/4.

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.

We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Let (-2, 3) be (x₁, y₁) and substitute -4 for the slope m. Hence:

[tex]\displaystyle y - (3)= -4 (x - (-2))[/tex]

Convert into slope-intercept form. Simplify:

[tex]\displaystyle \begin{aligned} y -3 &= -4 (x + 2) \\ y - 3 &= -4x - 8 \\ y &= -4x -5\end{aligned}[/tex]

In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:

[tex]\displaystyle y = -4x - 5[/tex]

Answer:

should be 0

Step-by-step explanation:

Find the equation of the line passes through ( -3, 4) and parallel to the line 2y-4x + 2 = 0

Answer:

[tex]y = x + 1[/tex]

Step-by-step explanation:

We want to determine the equation of the line that passes through the point (3, 4) and is parallel to the line containing the points (3, 5) and (0, 2).

Recall that parallel lines have equivalent slopes.

Hence, first find the slope of the line containing the points (3, 5) and (0, 2):

[tex]\displaystyle m = \frac{\Delta y }{\Delta x} = \frac{(2)-(5)}{(0)-(3)} = \frac{-3}{-3} = 1[/tex]

Therefore, the slope of our new line must also be 1.

We are given that it passes through the point (3, 4). Since we are given a slope and a point, we can consider using point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (4) = (1)(x - (3))[/tex]

Simplify:

[tex]y - 4 = x - 3[/tex]

And add. Hence, our equation in slope-intercept form is:

[tex]y = x + 1[/tex]

In conclusion, the line that passes through the point (3, 4) and is parallel to the line containing the two points (3, 5) and (0, 2) is:

[tex]y = x + 1[/tex]

Step-by-step explanation:

All steps are in picture above.

Note:if you need to ask any question please let me know.

Answer:

10

Step-by-step explanation:

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

Answer:

{0, 1, -1}

Step-by-step explanation:

2x - 6 = 3x + 1 - x - 7

2x - 6 = 2x - 6

0 gives you -6 = -6

1 gives you -4 = -4

-1 gives you -8 = -8

Answer:

Yes

Step-by-step explanation:

I think you just rotate the triangle...

But since angle P and angle Z are the same, they fix the position the rays will go and since ZY=PQ=6cm and ZX=RP=4cm, they are the same triangle so QR=XY.

Pairs of matching angles would be angle R= angle X and angle Q = angle Y

Answer:

Yes,By CPCT

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

1.  x = -12+y / 5 , y = -12-5x

2.  x = 4 - y , y = 4 - x

3.  x = -11 - 9y / 6 , y = 11 + 6x / 9

( for the numbers in fractions such as the x value for #1 and x & y value for #3, put the negative sign in front of the fraction, not the number okay? )

Step-by-step explanation:

--->  -5x - y = 12                                          -5x - y = 12

= -5x - y = 12                                           =  +5x        +5x

        +y     +y                                             ---------------------

---------------------                                              -y = 12 + 5x

-5x = 12 + y                                                    /-1         /-1

/-5     /-5                                                      ----------------------

---------------------                                                y = -12-5x

x = -12+y / 5

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

--->  x + y = 4                                                   x + y = 4

=          -y    -y                                              =  -x         -x

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

x = 4 - y                                                             y = 4 - x

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

-----> -6x + 9y = 11                                               -6x + 9y = 11

=              -9y    -9y                                          =   +6x          +6x

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

-6x = 11 - 9y                                                             9y = 11  + 6x

/-6        /-6                                                                /9        /9

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

x = -11 - 9y / 6                                                              y = 11 + 6x / 9

Answer:

k - 11

Step-by-step explanation:

7k - 2(3k +1) - 9

So first we start by multiplying out the brackets. Multiply 2 by 3k and 1 then it becomes:

7k - 6k + 2 - 9

Then collect like terms subtract 6k from 7k and 9 from 2:

k - 11

HOPE THIS HELPED

Answer:

first n = 5

sec n = 11

third n = 24

Step-by-step explanation:

40-6+1 = 35

35/7 = 5

1st no = 5

2nd no = first + 6

= 5+6

= 11

3rd no = 5(first) - 1

= 5(5) - 1

= 25-1

= 24

double check total = 1st + 2nd + 3rd

= 5 + 11 + 24

= 40

Answer:

A

Step-by-step explanation:

We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.

Answer:

658

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

11 triangles : 22 hearts

= 1:2

9514 1404 393

Answer:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Step-by-step explanation:

The standard form equation of a line is of the form ...

  ax +by = c

where a, b, c are mutually prime integers. The leading coefficient must be positive.

__

The standard form equation of a line can be found for the two points (x1, y1) and (x2, y2) using the formula ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Using this equation, you must choose y2>y1. If y2=y1, you must choose x1>x2.

You will need to eliminate any fractions by multiplying the equation by an appropriate number. Once you have the numbers figured out, you need to factor out any common factors from the coefficients and the constant, so they are all mutually prime.

the answer is in the picture I mentioned as the answer ok ◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

Answer:

The independent variables are the students.

Step-by-step explanation:

It is the students because nothing else is independent, everything else is either dependent or not important to the question.

Answer:

3

Step-by-step explanation:

In order to have a perfect square you have to have at least two prime factors, and since three is quite clearly not in a pair, the answer is three.

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

The answer to this problem is 9.

-6+(-3)-(-18)

Since (+)(-)=(-) and (-)(-)=(+),

-6-3+18

-9+18

9

Answer:

9

Step-by-step explanation:

-6 + -3 - (-18)

-6 - 3 + 18

-9 + 18

9

- (-) = +

+ (+) = +

- (+) = -

+ (-) = -

Answer: $1500

Step-by-step explanation:

Given information

Number of puppies = 6

Cost of each puppy = $250

Given expression deducted from the question

Total cost = number of puppies × cost of each

Substitute values into the expression

Total cost = 6 × 250

Simplify by multiplication

Total cost = [tex]\boxed{1500}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

Step-by-step explanation:

Answer:

RPO = 30

STO = 20

POR = 130

Step-by-step explanation:

TOS Obtuse because its larger than 90 = 130 degree

Answer:

A

Step-by-step explanation:

Becausd angle TPR is ninety degrees which is 90degrees

Answer:

Multiply By 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The common ratio is 6 ie dividing the second term by the first term or the third term by the second term ie

24 ÷ 4 = 6

144 ÷ 24 = 6

And so on....

Answer:

6 sq yards, 54 sq feet

Step-by-step explanation:

30/3 = 10, 10 - 4 = 6, 6/2 = 3, 3 * 2 = 6

30/3 since we are calculating yards(3 ft = 1 yard), 10 -4 since 2 sides have the width of 2 yards. 6/2 since there is two sides left.

Basically the same thing for sq feet.

Answer:178

Step-by-step explanation:

distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.

Answer: it goes up like 10,20,30,40

Step-by-step explanation:

Answer:

B/16

Step-by-step explanation:

if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds

12 divided by 60 = 0.2

0.2 times 80 = 16.

hope this helped