This is a 2x2 identity matrix:
True
Or
False

Answer:

[tex]\huge\boxed{y=-x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

The point-slope form of an equation of a line:

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

[tex](x_1;\ y_1)[/tex] - point on a line

========================================

We have

[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]

substitute

[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]

Answer:

3/2

Step-by-step explanation:

3x - 2y = 18

y=(3/2)x-9

Slope of the given line=3/2

As parallel lines have same slope, slope of the line parallel to the line 3x - 2y = 18 is 3/2.

Hope it helps :)

Slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are said to be parallel when their slopes are same.

To find the slope of parallel line, we need to find slope of 3x - 2y = 18

3x-2y=18

-2y=18-3x

y=-18/2+3/2x

y=3/2x-18/2

Slope of line is 3/2

Hence, slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

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Answer: -7/4

Step-by-step explanation: u juss simplify -21/2/6 and get -7/4

Answer:A

Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator

Answer:

2.16•x is up ur function

21. 6 feet in 10 minutes

Step-by-step explanation:

when u multiply by ten u move the decimal to the right one place

Answer:

this is what u need .........

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

Answer:

The score is 3 standard deviations from the mean

Step-by-step explanation:

To find this, we simply calculate the z-score

Mathematically;

z-score = (x-mean)/SD

In this question , x = 80

mean = 65

SD = 5

Thus;

z-score = (80-65)/5 = 15/5 = 3

Answer:

[tex]\boxed{1500cm^{2} }[/tex]

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Answer:

Its the second one

Step-by-step explanation:

I used slope to solve it

Answer:

its B

Step-by-step explanation:

Answer:

Correct choice: A

[tex]y=-3/4x+1/4[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]y-k=m(x-h)[/tex]

Where m is the slope and (h,k) is a point through which the line passes.

We are given the slope of a line m=-3/4 and the point (-5,4). Substituting:

[tex]y-4=-3/4(x+5)[/tex]

Operating:

[tex]y-4=-3/4x-15/4[/tex]

[tex]y=-3/4x-15/4+4[/tex]

[tex]\boxed{y=-3/4x+1/4}[/tex]

Correct choice: A

Answer:

It’s a no cap

Step-by-step explanation:

I took the test on edge

Answer:

The inverse of a linear function is not a function. Hope this helped

Step-by-step explanation:

Answer:

y=-2x+3

Step-by-step explanation:

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Answer:

None.

Step-by-step explanation:

Answer: where’s the picture?

Step-by-step explanation:

Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

Answer:

9

Step-by-step explanation:

60×15%=9 therefore, 9 is your answer

Answer:

i subbed :P

Step-by-step explanation:

hope this helps </3

Answer:

2.11

Step-by-step explanation:

hope this helps :)

Answer:

It would be 2.1100

Step-by-step explanation:

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

38 units.

Step-by-step explanation:

Perimeter of the polygon EFGHJK = 38 unit

Perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Given,

In graph of polygon EFGHJK

EF = 2 unit

FG = 10 unit

GH = 9 unit

HJ = 8 unit

JK = 7 unit

KE = 2 unit

Perimeter of EFGHJK = EF + FG + GH + HJ + JK + KE

                                    = 2 + 10 + 9 + 8 + 7 + 2

                                    = 38 unit

Hence, 38 unit is the measure of perimeter of polygon EFGHJK.

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Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

Answer:

$2.25

Step-by-step explanation:

9/4=2.25

checking work:

2.25+2.25=4.50

4.50+4.50=9

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

Answer:

D

Step-by-step explanation:

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

Answer:

here!!! I hope this helps you all :))

The quotient of the divided numbers is:

220

What are whole numbers?

Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.

For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.

Given:

Divide 814 ÷ 3.7

Hence, we need to multiply a number to 3.7 in order to make it a whole number.

Step 1:

So multiply and divide by number 10

814 × 10 ÷3.7 × 10 = 37

Now we got the number 37 and 814 becomes 8140

Step 2:

We divide both the changed numbers:

8140 ÷ 37

Hence we get the quotient as 220

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Answer:

A'(1, -1), B'(-1, 1), C'(-1, -1)

Step-by-step explanation:

Coordinates of the vertices of the given triangle ABC are,

A(-1, 1), B(1, -1), C(-3, -1)

We have to find the new coordinates of these vertices after reflection across y = x,

Rule for the reflection of a point across a line, (y = x) is,

(x, y) → (y, x)

Following the given rule of transformation,

A(-1, 1) → A'(1, -1)

B(1, -1) → B'(-1, 1)

C(-3, -1) → C'(-1, -3)

Answer:

[tex]d = 5\sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-20-(-35))^2+(15-25)^2}[/tex]

[tex]d = \sqrt{(-20+35)^2+(-10)^2}[/tex]

[tex]d = \sqrt{(15)^2+100}[/tex]

[tex]d = \sqrt{225+100}[/tex]

[tex]d = \sqrt{325}[/tex]

[tex]d = 5\sqrt{13}[/tex]

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

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