Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19

Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

one less than the 18 and a number

18 × n = (product) - 1

Using the equivalence concept, it is found that the correct option is given by:

a the expressions have the same value for any value of y.

Two expressions are said to be equivalent if for the same input, they have the same value.

In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.

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Answer:

I think 4 years

(not sure)

Answer: 7.1 years

Step-by-step explanation:

Lets write a simple interest expression for this:

SI = P(1 + rt)

10,000 = 1,000(1 + 0.065[t])

This model is not quite complete yet, since he is adding 1200 every year. To fix this, we simply add a constant term, 1200t, where t is the number of years that have passed.

10,000 = 1,000(1 + 0.065[t]) + 1200t

Now we just need to evaluate this:

10,000 = 1,000 + 65t + 1200t

9,000 = 1265t

.: t ≅ 7.115

It will take about 7.1 years

Answer:

Pi is the number you get from dividing the circumfrence by the diameter of a perfect circle. It is important because without this, we wouldnt have perfect circles and even wheels could be disformed and cause crashes.

Answer:

Pi is an infinite number. We need it to find the area and circumference of a circle.

Step-by-step explanation:

Answer:

Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).

Answer:

I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B

Step-by-step explanation:

Please rate bainliest if you think I deserve

Step 1. Isolate the variable x:

[tex]3x-11 > 7x+9[/tex]

[tex]-4x > 20[/tex]

[tex]x > -5[/tex]

Step 2. Use the simplified inequality to graph:

I hope this helps!

Answer: y = [tex]\frac{1}{6}[/tex]x + 2

Step-by-step explanation:

    [1] First, we will graph the points given. See the attachment with [1] in the corner.

    [2] Next, we will find the slope.

    (2a) Using rise over run. See the attachment with [2] in the corner.

    (2b) Use the slope equation:

[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]

    [3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.

         This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2

Answer:

It should be $100 to get it cleaned.

I believe the answer is $100

Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20

i really don't know but I'm not good at it either LOL

Answer:2 11/12

Step-by-step explanation:

7/12+28/12= 35/12= 2 11/12

28/12=7/3 btw

2 4/12+7/12=2 11/12

Answer:

Ok the answer is going to be 35/12

try that I hope I helped you

Step-by-step explanation:

Answer:

12,240 W

Step-by-step explanation:

Use a proportion.

8/8160 = 12/x

8x = 8160 × 12

x = 1020 × 12

x = 12,240

Answer: 12,240 W

Answer:

[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

[/tex]

Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

Answer:

The correct option is C because it shows the accurate cosine rule

Equation to get the third side :  [tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

The correct option is C.

Given, that sides of triangle are 42 cm and 35 cm .

The third side can be found using the Law of Cosines,

[tex]c^2 = a^2 +b^2 - 2ab\times cos(C)[/tex]

where C is the angle opposite the third side (c) .

For the given side lengths, then the third side can be found .

Here,

a = 42

b = 35

∠C = 120°

Substitute the values,

[tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

[tex]c = \sqrt{1764 + 1225 + 1470} \\c = \sqrt{4456}\\c = 66.75[/tex]

Hence the third side is of 66.75 units.

The correct option is C .

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The ways that the policies of President Kennedy and President Johnson are similar and different is given below:

After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs.  Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.

The differences between the both presidents were:

Conclusively, these two president were said to be very were similar, and yet they were different.

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Answer:

270

Step-by-step explanation:

90, 180, 270, and 360 are standard position because they hold a part of a 90 angle

Answer:

Step-by-step explanation:

Standard position means that you will move clockwise about the origin to create the angle.

Step-by-step explanation:

Attached picture might help you out

The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]

For x = −1 in the inverse function, then the value of a will be

[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]

The value of a is 2.

For x = 0 in the inverse function, then the value of b will be

[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]

The value of b is 1.

For x = 2 in the inverse function, then the value of c will be

[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]

The value of c is 2.

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Answer:

a.2

b.1

c.0.25

Second part: Graph B (2nd) one

Step-by-step explanation:

Answer:

9(x-1)(x-1) or 9(x-1)²

Step-by-step explanation:

9x² - 18x + 9

factor out a 9

9(x² - 2x + 1)

use middle term factorization to factor x² - 2x + 1

9(x-1)(x-1) or 9(x-1)²

Middle term factorization explained:

For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.

It should look something like (x+1st number)(x+2nd number)

the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1

( -1 × -1 = 1 and -1 + -1 = 2 )

so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²

Answer:

5x+3=8

Step-by-step explanation:

this is the answer

Answer:

153.86

Step-by-step explanation:

The area of a circle is π[tex]r^2[/tex].

Since the radius of that circle, and we are using 3.14 for π, we get:

[tex]3.14 * 7^2 = 153.86[/tex]

Answer:

Technically you should get :153.94

But for your answer choice its the 2nd one.

Step-by-step explanation:

area=πr^2

Which means that you would plug in 7 for r.

Which means it would look like this: area=π7^2

Next you would square 7 which comes out to 49

Lastly multiply 49 time π (3.14)

[tex]P(x)=4x^3-6x^2+ax-2\\\\P(3)=2\\\\\implies 4\cdot 3^3-6 \cdot 3^2 +3a-2=2\\\\\implies 108-54-4 +3a=0\\\\\implies 50+3a=0\\\\\implies a = -\dfrac{50}3[/tex]

Answer:

The value of a = -16.6.... or -16.7

Step-by-step explanation:

Given :

P(3) = 2

P(x) = 4x^3 - 6x^2 + ax – 2

=> 2 = 4(3)³ - 6(3)² + a(3) -2

=> 2 = 4(27) - 6(9) +3a - 2

=> 2+2 = 108 - 54 +3a

=> 4 = 54 + 3a

=> 4-54 = 3a

=> -50 = 3a

=> -50/3 = a

=> a = -16.6.... or -16.7

Answer:

m∠5 = 75°

Step-by-step explanation:

Angle 2 and Angle 4 are the same as they are alternate interior angles.

Since m∠2 = 45°

We then have m∠4 = 45°

We are given m∠3 = 60°

Now, we just have to find 7∠5.

The sum of the angle of a triangle adds up to 180°.

So, m∠3 + m∠4 + m∠5 = 180°.

60° + 45° + m∠5 = 180°.

Solving for ∠5

m∠5  = 180° - (60° + 45°)

m∠5 = 180° - (105°)

m∠5 = 75°

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation:

                       New

Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.

Let l is the length and b is the breadth of the rectangle.

then the area of the rectangle is ab.

Given One side of a rectangle is 7 inches longer than another side.

then shorter side length is x and the large side length is 7+x.

then the area of the original rectangle is x(x+7)

Now calculate the sides of the new rectangle.

longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x

The shorter side increases by 2 inches then x+2.

So new rectangle area is (x+4)(x+2)

Both rectangle area is equal then

(x+4)(x+2) = x(x+7)

x² +2x+4x+8 = x²+7x

x²+6x+8 = x²+7x

x²-x²+7x-6x = 8

x = 8

Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.

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Answer:

12

Step-by-step explanation:

collect the like terms and divide

1) Water in a plastic container, p'= 10 - 3 p

2) Water in a glass container = 27 quarts

Water in a plastic container = 1 quarts

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.

Now,

Let j represents water in one glass jag while p' represents the water in one plastic container,

Hence, According to the question,

⇒ j - p' = 6p+8 --------(1)

And, 2j+2p'=56p --------(2)

2 × equation (1)

⇒ 2 j - 2 p' = 12p + 16 ---------(3)

Equation (2) + equation (3)

We get, 4 j = 12 p + 72

⇒ j = 3 p + 18

Putting this value in equation (1),

We get, 3p+18-p'=6p+8

p' = -3p + 10 = 10 - 3p

Thus, water in a plastic container, p'= 10 - 3 p

b) If p=3

Water in a glass container = 3 × 3 + 18 = 27 quarts

Water in a plastic container = 10 - 3 × 3 = 1 quarts

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