Change one number to make a new system with an infinite number of solutions.

Answer:

a).  5x - 12   b). 2x(4x + 3)

Step-by-step explanation:

a). 7(x - 2) - 2(x - 1)

= 7x - 14 - 2x + 2

= 5x - 12

b). 8x² + 6x

2x(4x + 3)

Answer:

The common difference between numbers is 7.

3

3+7=10

10+7 = 17

17+7=24

24+7=31

31+7= 38

3, 10, 17, 24, 31, 38

Answer:

C. 60°

Step-by-step explanation:

The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.

Thus:

90° = ½(120° + arc TA)

Multiply both sides by 2

2*90 = 120 + arc TA

180 = 120 + arc TA

Subtract 120 from each side

180 - 120 = arc TA

60° = arc TA

Arc TA = 60°

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12,  16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

Answer: x = 6, Angle ABC = 45, Angle DBC = 34

Step-by-step explanation:

79 = (5x + 4) + (8x - 3)

79 = 13x + 1

78 = 13x

x = 6

8x - 3      plug in 6 for x

8(6) - 3

Angle ABC = 45

5x + 4     plug in 6 for x

5(6) + 4

Angle DBC = 34

Answer:

The formula is Area = base+base/2 x height.

Step-by-step explanation:

This means that we need to add both bases, then  divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.

Answer:

Step-by-step explanation:

½×8.4(11.2+15.2)

4.2 × 26.4

105.68

Answer:

(√3+1.4)m

Step-by-step explanation:

By forming a right triangle, we can see that the angle of elevation is 30°.

In a 30-60-90 triangle, the side opposite the 30° is the other leg multiplied by 1/√3.

x= [tex]\frac{3}{\sqrt{3} } =\frac{3\sqrt{3} }{\sqrt{3}*\sqrt{3} } =\frac{3\sqrt{3} }{3} =\sqrt{3}[/tex]

The height of the pole is (√3+1.4)m

Answer:

Hello! answer: 308 HOPE THAT HELPS!

Answer:

-10

Step-by-step explanation:

First, we need to find the slope, defined by m, using the equation

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

First, we must choose points. I will choose (2, 165) as point 1 and (1, 175) as point two, so:

x1= 1

y1= 165

x2= 2

y2= 175

Now, let's plug it in.

[tex]m = \frac{175 - 165}{1 - 2} = \frac{10}{ - 1} = - 10[/tex]

For the next one, we follow the same process.

Point 1: (3, 165)

Point 2: (2, 175)

[tex]m = \frac{175 - 165}{2 - 3} = \frac{10}{ - 1} = - 10[/tex]

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Alternating angels are equal if 3 is equal to 40 then 7 must also be forty (this only applies since the lines are parallel)

Answer:

16 cupcakes

Step-by-step explanation:

Amount Alex wants to spend = $25

Cost of each cupcake = $1.50

what is the max number of

cupcakes that Alex can buy without going over his $25 limit?

Let

x = maximum number of cupcakes Alex can buy

Amount Alex wants to spend = Cost of each cupcake * maximum number of cupcakes Alex can buy

25 = 1.50x

x = 25 / 1.50

x = 16.67

The maximum number of cupcakes that Alex can buy without going over his $25 limit is 16 cupcakes as a whole

Answer:

C=39

Step-by-step explanation:

180=sum of angles in a triangle

67+74+C=180

141+C=180

C=180-141

C=39

Answer:

this is an example of your question

I hope it helps

Answer:

Combination.

167960

58344

Step-by-step explanation:

A.)

Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.

2.)

Using nCr

n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167960

3.)

1 goalie 10 players

3C1 * 17C10

3 * 19448

= 58,344 ways

Answer:

D s>350000

Step-by-step explanation:

The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.

350000 x.02 (2% commission) is 7,000

Answer:

[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]

Answer:

SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go

Step-by-step explanation:

SO, first equation is already in matrix form

Second equation = -5x + 4y = -14

So your answer is:

2x - 3y = 5

-5x + 4y = -14

Answer:

i gotchu its d

Step-by-step explanation:

hope it helps!

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

Answer:

-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4

Step-by-step explanation:

Answer:

In order of least to greatest.  -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4

Step-by-step explanation:

Answer:

I need help with the same thing-

Step-by-step explanation:

Answer:  10.83

Step-by-step explanation:

Pemdas

Answer:

The bottom one

Step-by-step explanation:

Because they all are over five and you need a number that is under.

Answer:

Step-by-step explanation:

64x³-64x²-9x+14

Answer:         c

Step-by-step explanation:

bc

Answer:

y = 34x - 139 (y = 34x + 2)

y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])

Answer:

2/3 miles

Step-by-step explanation:

this question is basically asking you to find the slope between two points: (4,3) and (-2, -1)

how to find slope: (y1 - y2)/ (x1-x2)

so:

y1 =3, y2= -1

x1 = 4, x2 = -2

[3- (-1)]/[4-(-2)]

[3+1]/[4+2]

4/6

2/3 miles

Answer:

root 52 <3

Step-by-step explanation:

Answer:

1561

Step-by-step explanation: