Solving System equations using substitution

5x+2y=21
-x-y=-9
Can someone help solve this

The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A scatterplot is shown in figure.

Now, By given figure, We get;

When we draw the line of equation,

⇒ The points seem to be clustered around a line.

Hence, The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ5

the answer is 3 1\9. thats the lentgh of the boat

3 1/9 this could be done on a calculator

Answer:

can't see image

Step-by-step explanation:

Answer:

Step-by-step explanation:

by using formula (a+b)^2=a^2+2ab+b^2

in these two we have to just open the formula

(3x+2y)^2

=(3x)^2+2(3x)(2y)+(2y)^2

=9x^2+12xy+4y^2

(3y+2x)^2

=(3y)^2+2(3y)(2x)+(2x)^2

=9y^2+12xy+4x^2

Answer:

This confidence interval is not valid because the quantity np is too small.

Step-by-step explanation:

300(7/300)= 7<10

The measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Here, we have,

to determine the dimensions

From the information given, we have the following proofs;

Width, w = x+15

Length, l = 2(x+15) - 49

Length, l = 2x + 30 - 49

Length = 2x - 19

The formula for perimeter of a rectangle is given as;

Perimeter = 2( length + width)

Substitute the expressions into the formula

Perimeter =  2 ( x+ 15 + 2x - 19 )

Perimeter = 2 (3x - 4)

Perimeter = 6x - 8

We have that the area is  162 more than 27 times the perimeter, which is Area = 27 (perimeter )+ 163

Area = 27(6x-8) + 162

Expand the bracket

Area= 162x - 216 + 162

Area = 162x - 54

But we know that

Area = length × width

Substitute the expressions

Area = (x+15)(2x-19)

Area =  2x² - 19x +30x - 285

Area = 2x² + 11x - 285

Equate the two formulas for area

162x - 54 = 2x² +11x - 285

Collect like terms

2x² + 11x - 285 - 162x + 54 = 0

2x²  - 151x - 231 = 0

Solve the quadratic equation

(2x + 3)(x-77) = 0

Let's solve for x

x - 77 = 0

x = 77

The expression for the width;

Width = x+15

Width = 77 + 15

Width = 92 feet

The expression for the length

Length = 2(x+15) - 49

Length = 2 ( 77 + 15) - 49

Length = 154 + 30 - 49

Length = 184 - 49

Length = 135 feet

Thus, the measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.

Learn more about a rectangle here:

brainly.com/question/17297081

#SPJ3

Answer:

number lines of x>4 and x<-1 respectively

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

Answer:

Step-by-step explanation:

Answer:

The equation of the line is;

y = 4x

Step-by-step explanation:

The general equation form of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The graph passes through the origin and that means the y -intercept is 0

To get the value of the slope, we select any point on the graph and substitute its coordinates

Let’s select point (1,4)

Substitute this;

4 = m(1) + 0

m = 4

Thus, the equation of the line is;

y = 4x

Answer:

Median: 33.5

Mean: 33.5

Step-by-step explanation:

So first arrange em from least to greatest

26, 29, 38, 41

Now to find the median find the middle number which it has none, do the last 2 numbers and find the mean of those 2 numbers

29+38= 67

67/2= 33.5

Mean is to just add up everything and divide by the amount of number there is which is bascially average.

26+29+38+41= 134

134/4= 33.5

Answer:

Median: 33.5

Mean: 33.5

Step-by-step explanation:

Median is the the middle number in a set of numbers, when they are listed from least to greatest. If there is no middle number, you take the 2 numbers closest to the middle, add them up, then divide them by 2.

Mean is all numbers in a set of numbers divided by the number of numbers. 41+26+38+29=134

Answer:

complementary angles

Step-by-step explanation:

We know that complementary angles add up to 90 degrees which is andgles a and b.

By the way, can you follow me on Brainly?

Thanks!

Answer:

B. Complementary angles

Step-by-step explanation:

angle a + angle b = 90 degrees

the two angles form a right angle

two angles that add up to 90 degrees are called complementary angles

Answer:

240/9=26.6666666667

Rounded:

26.7

Brainlist Pls!

Answer:

32%

Step-by-step explanation:

We can easily find the slope by using the slope formula when given two points: (-2,4), (1,13) -> (13-4)/(1-(-2)) = 9/3 = 3

Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)

Therefore B and E is right.

Answer:

4

Step-by-step explanation:

24 - 20 = 4

Answer:

B. [tex] (2, -\frac{5}{2}) [/tex]

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]

[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]

[tex] M(2, -\frac{5}{2}) [/tex]

Answer:

varied

square root of number never result negative number

Step-by-step explanation:

There will only be one real solution.

If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].

For [tex]x<0[/tex], we get imaginary solutions.

Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]

In other words, when the square root of [tex]x[/tex] is a positive real number,  [tex]x[/tex] will be a unique positive number.

We can see this when trying to solve the equation given in the question

So, the equation

[tex]\sqrt x=c[/tex]

where [tex]c>0[/tex], when solved, will give

[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]

We will have a unique solution because squaring a positive real number gives a single result.

Learn more here: brainly.com/question/24117016

Answer:

C =37.68 ft

Step-by-step explanation:

Circumference is given by

C = pi * d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

Answer:

9.95h + 5 < 125

Step-by-step explanation:

You left out the numbers to solve the question, but I've already encountered this question before, so yeah.

Answer:

y=7x+3, y=7x−6

Answer:

it may be 3 im not sure

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

can i have brainliest

Answer:

3

Step-by-step explanation:

substitute m with 18

m/6

18/6=3

Answer:

13.8cm

Step-by-step explanation:

formula

b x h / 2

6.9 x 4 / 2

= 13.8

The circumference of the circle is 6.28 yards.

"It  is the length of the boundary of the circle."

C = 2 × π × r, where 'r' is the radius of the circle.

For given example,

r = 1 yd.

π = 3.14

Using the formula for the circumference of circle,

⇒ C = 2 × π × r

⇒ C = 2 × 3.14 × 1

⇒ C = 6.28 yd.

Therefore, the circumference of the circle is 6.28 yards.

Learn more about circumference of the circle here:
https://brainly.com/question/12441329

#SPJ2

Answer:

x = 51°

Step-by-step explanation:

The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:

180° - 94° = 86°

That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:

43° + 86° = 129°

180° - 129° = 51°

i think it is 58 degrees

Answer:

No

Step-by-step explanation:

All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). ... This function, y = 5/x, is a hyperbola, with a vertical asymptote at x = 0 and horizontal asymptote at y = 0

Answer:

Linear

Step-by-step explanation:

Y=-5 is linear because it has no exponents.

Answer:120

Step-by-step explanation:

4x2x1=8, 6 sides with 2.50