Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

Answer:

n < 8

Step-by-step explanation:

Let n represent the unknown number.  Then:

2n + 5 > 3n - 3

Collecting like terms:

8 > n or n < 8

Answer:

14.5

Step-by-step explanation:

The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2

256 - 44.89 = 211.11

The square root of 211.11 rounded to the first decimal place is 14.5

The length of BC is 14.5 cm

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given

AB = 6.7 cm

AC = 16 cm

According to the Pythagoras theorem of triangles

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]AB^{2} +BC^{2} =AC^{2}[/tex]

[tex]BC^{2} =AC^{2} -AB^{2}[/tex]

[tex]BC ^{2} =16^{2}-(6.7)^{2}[/tex]

[tex]BC = \sqrt{16^{2} -(6.7)^{2} }[/tex]

BC = 14.5 cm

Hence, the length of BC is 14.5 cm

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Answer:

Mean: 29.6

MAD: 10

Step-by-step explanation:

Answer:

Mean = 29.6

MAD = 10

Step-by-step explanation:

For the mean, just add all of the points together and divide it by 10 since there are 10 games.

For the MAD, use the mean and subtract is from each of the games. As an example, just do 23-29.6 and ignore if it is a negative sign. Do it for all and then add up the leftovers. Then divide it by the 10 games.

(6.6+1.4+1.6+8.4+10.6+8.4+15.4+4.6+26.6+16.4)/10

Check out a khan academy video about it if you're having trouble

Answer:

5 is greater than equal to 5. So f(5)=5+8=13

Step-by-step explanation:

Answer: x=73 y=73 z=107

Step-by-step explanation:

The angel of x is 73° because opposite angles are always the same.

The angle of y is also 73° because it is on a parallel line so angles on a parallel line would be the same.

Then the angle of z is 107° because the other side of z would be 73° so you need to deduct this from 180° (because a straight line always adds up to 180°).

62hshhsjshsjsjsjsjjsjsjs

Answer:

Step-by-step explanation:

no

Answer:

1/3

Step-by-step explanation:

Slope is going 1 up and 3 across

Answer:

I think the total number of combinations of 3 from 6 = 6C3 = 20

All possible combinations of 3 which have a product divisible by 3 must contain either a 3 or a 6.

So the number not divisible must be 3 combinations from the number 1, 2, 4, and 5.= which is 4

So the required probability is 20-4 ? 20 = 16/20 = 0.8 Answer

Hope this help you! :)

Answer:

X

Step-by-step explanation:

because its the varible term

Answer:

The distance between -12 and -8 is 4.

Step-by-step explanation:

hope this helps

$1

because 2 months is 25. so 8 months divided by 2 is 4 so 4 times 25. is 1 dollar

Answer:

Yes

Step-by-step explanation:

When adding fractions which have unequal denominator values, the first step is to find a way in which all the denominators conform to a common denominator value which is achieved by obtaining the lowest common factor of the denominator values.

The L. C. M of 3, 9 and 15 is : 45

1/3 + 7/9 + 4/15

Npq we have a common denominator value :

(15 + 35 + 12) / 45

= 62 / 45

Answer:

14.3

Step-by-step explanation:

Math

Answer:

14.3i think.

Step-by-step explanation:

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:

Given

Shape: Triangle

Sides: a, b, c

Longest: c

Required

Select the true statements (See comment section for options)

From the options, we can see that we need to prove if the triangle is right-angled or not.

Since side c is the longest side, it means that side c is the hypotenuse.

Applying Pythagoras theorem

We have that:

[tex]a^2 + b^2 = c^2[/tex]

If the above mathematical statement is true, then the triangle is right-angled

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

5x-4+-20+ -3=-23

Step-by-step explanation:

5x-3= -15 + -4 = 11

5x-5=-25+-3=22

5x-4=-20+-3=-23

5x-3= -15+ -5= -20

Answer:

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The system of equations for each point are mentioned below.

Given is to find two systems of linear equations that have the given point as a solution.

For the point (- 2, 1), we can write the system of equations as -

1 = - 2m₁ + c₁

1 = - 2m₂ + c₂

For the point (3, - 2), we can write the system of equations as -

- 2 = 3m₁ + c₁

- 2 = 3m₂ + c₂

For the point (0.5, 1), we can write the system of equations as -

1 = (1/2)m₁ + c₁

1 = (1/2)m₂ + c₂

For the point (0, 4), we can write the system of equations as -

4 = c₁

4 = c₂

Therefore, the system of equations for each point are mentioned above.

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{Translation in english -

Find two systems of linear equations

that have the given point as a solution

Remember: for a point to belong to the

line, plug the coordinates into the equation

a) (-2.1)

b) 3,-2

c) 0.5; -1)

d) (0.4​)

}

Answer:

the precent discount is 20%

(27 / 135) x 100 = 20%

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

I hope this helps!

Answer:

B. The degree measure of the diameter and the degree measure of the semicircle are the same.

Step-by-step explanation:

Semicircle and diameter in a circle are related because the degree measure of the diameter and the degree measure of the semicircle are the same.

The diameter of a circle is the the line that passes through the centre of a circle and meets the circumference at opposite end. The diameter divides a circle into semi circle. Therefore, the degree measure is 180 degrees.

Semi Circle is half of a circle. It is from the diameter of a circle you cut out a semi circle. The degree measure of a circle is 360 degree while the degree measure of half of a circle(semi circle) is 180 degrees.

Therefore, the degree measure of the diameter and the degree measure of the semicircle are the same.

learn more on diameter and semi circle here: https://brainly.com/question/4321778

Answer:

x ≥ 6 or x ≤ -2

Step-by-step explanation:

- I x - 2 I + 4 ≤ 0

- I x - 2 I ≤ -4

I x - 2 I ≥ 4

x - 2 ≥ 4  or  x - 2 ≤ -4

x ≥ 6  or x ≤ -2

Answer:

Thus the prime factors of the given numbers can be only 2, 3, 5, and 7. ... most 3 + 1 + 1 + 1 = 6 numbers, we are left with at least three numbers among the nine ... points, and b by blue points (for these inequalities to hold we might have to ... 8. The constant function f (x) = k, where k is a positive integer, is the only possible.

Step-by-step explanation:

Answer:

Integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be [tex]x,x+2[/tex] such that [tex]x<x+2[/tex]

Six times the lesser of the two consecutive even integers is 4 times the greater even integer.

So,

[tex]6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4[/tex]

Other integer [tex]=x+2=4+2=6[/tex]

Answer:

yes I can help u but I'm not really sure what the answere to ur problem is

Answer:

Option 3: One

Step-by-step explanation:

Slope is y2-y1 over x2-x1

4-(-3)= 7

5-(-2)= 7

7/7 = 1

Answer:

1. 17.59

2. 81.68

3. 8.99225

4. 12.00028

Step-by-step explanation:

for the first two you have to multiply the radii by 2 to find the diameter, then multiply your diameter by pi (3.14) to find the circumference

for the second two you have to work backwards so you have to divide the circumference by pi (3.14) which will give you the diameter, then you have to divide the diameter by 2 to get the radius.