Instructions: Find AB. given that line AD is the perpendicular bisector of BC.

Answer:

(–3, 5) and (–1, 9)

Step-by-step explanation:

if you just plug the numbers in they fit :)

The solution of the system of equations is (–3, 5) and (–1, 9).

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).

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Answer:

y = -x - 6

Step-by-step explanation:

Parallel lines have same slope

y = -x + 9   {y = mx  + c}

m = -1  

(x₁, y₁) = (7 , -13)

Equation: y - y₁ = m(x -x₁)

y - [-13] = -1(x -7)

y+ 13 = -x + 7

    y = - x + 7 - 13

y = -x - 6

Answer:

x less than or equal to -5

Step-by-step explanation:

2(x-1) ≥ -12

2x - 2 ≥ -12

2x ≥ -10

x ≥ -5

Answer:

I believe it is 1, I might be wrong.

Step-by-step explanation:

Two points on the graph are (1,2) and (2,3)

The first set has variables of x1 and x2 the second has variables of y1 and y2.

The formula is y2 - y1/x2 - x1

Put in the values and you get 2 - 3/2-1.

You would get 1/1, which is equivalent to 1.

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

8x = 180  - 148                           [ corresponding angles are equal ]

8x = 32

x = 4

Answer:

subtraction property of equality

Step-by-step explanation:

From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.

From the Standard form: ax²+bx+c=0, it is possible to see that step 1:

–c = ax² + b represents the subtraction property of equality.

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Step-by-step explanation:

0.484848 =x

x=0.48-------1

100x=48.48-----2

2-1

100x-x =48.48-0.48

99x= 48

x =48/99

[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]

Answer:

Blue and Black

Step-by-step explanation:

hi! i think you're asking which of the 2 teams' points added together equal 100. if so, it would be blue and black because 76 + 24 = 100.

broken down: 70 + 20 = 90, 6 + 4 = 10, 90 + 10 = 100 :)

hope i understood this right!

Answer:

420

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

Answer:

C= 15

Step-by-step explanation:

[tex] \frac{9}{5} C + 32 = 59 [/tex]

subtracting 32 from both sides

[tex] \frac{9}{5}C = 59 -32 [/tex]

[tex] \frac{9}{5} C = 27[/tex]

Dividing both sides by 9/ 5

[tex]C = 27 \times \frac{5}{9} [/tex]

[tex]C = 3 \times 5[/tex]

[tex]C = 15[/tex]

Answer:

x - y = 0

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 1 / 5 - 1

4/4

= 1

y = 1x + b

5 = 1(5) + b

5 = 5 + b

0 = b

Answer:

4c+10t

Step-by-step explanation:

c= car

t= time/ hour

Answer:

Step-by-step explanation:

The first line has slope of a/b and the second one has slope of m/n.

As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.

Since the slopes are different the lines are not parallel, hence they intersect at one point.

This means there is one solution only.

ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

The answer is C

Step-by-step explanation:

Switch x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Solve for y

[tex]y = \frac{7(x - 4)}{2} [/tex]

Answer:

I think the answer is 762.5 if not correct pardon plz

Answer:

Step-by-step explanation:

9) 12/n=20/25

simplify 20/25=4/5

12/n=4/5

cross product

n*4=12*5

4n=60

n=60/4

n=15

The missing proportion in each of the following problems shown below:

Statement of equality between two expressions consisting of variables and/or numbers

9) 12/n=20/25

12/n=4/5

n*4=12*5

4n=60

n=60/4

n=15

10) 5/8=n/24

   8n= 5*24

   8n= 120

    n= 120/8

    n=15

11) 2/3= 16/n

   2n=48

   n=24

12) 12/14= n/21

     n=18

13) n/10 = 6/15

    n=4

14)  12/3 = 10/n

     n= 2.5

15) 5/n = 10/16

       n=8

16) 12/8 = 4/n

     n=8/3

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Answer:

£8520

43000-11000=32000

20/100×32000

£6400

48300-43000=5300

40/100×5300=2120

£8520

hope it helps

Answer:

4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

Answer:

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

Step-by-step explanation:

The equation of a parabola in the intercept form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where:

p and q are x-intercepts

Now, we know the parabola intercepts at x=1 and x=3.

So we will have:

[tex]y=a(x-1)(x-3)[/tex]

Using the point (-1,16) we could find the value of a.

[tex]16=a(-1-1)(-1-3)[/tex]

[tex]16=a(-2)(-4)[/tex]

[tex]16=8a[/tex]

[tex]a=2[/tex]

Therefore, the equation is:

[tex]y=2(x-1)(x-3)[/tex]

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

[tex]y=2x^{2}-8x+6[/tex]

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

I hope it helps you!

Answer:

B. 22°

Step-by-step explanation:

Angle bisector divides an angle into two equal angles.

Angle AVM = Angle MVM = Angle AVB / 2

Angle AVM = Angle AVB / 2

Angle AVM = 88 / 4

Angle AVM = 22°

Answer:

44

Step-by-step explanation:

Answer:

m = 15/3 = 5 is the mean

Step-by-step explanation:

Answer:

5 Students But divide by 15/3 to  5

Step-by-step explanation:

What does Average mean?

1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

So, to find the answer just ADD 10 + 2 + 3 = ?

10 + 2 = 12 So put that to the side for now.

Now, 10 + 2 = 12 + 3 = 15

So the total number of students who like cookies, chips,  and crackers are 15.

Now do 15/3 to get 5.

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

Answer:

Only -lxl = -3 works

Step-by-step explanation:

The other options don't work because they all have numbers inside of the absolute value brackets.  You would always get a positive end value when the absolute value equation is applied.

The last one is the only one that works because the negative is outside of the absolute value bracket.  Therefore, if you plug in 3 for x, it will give you -3.

Answer:

3/4

Step-by-step explanation:

[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]

[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]

Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2