solve each given equation​

Answer:

B. ray AB and ray AE

Step-by-step explanation:

Line BE is connected at three points, B, A, and E.

The rays that are part of line BE as shown in the diagram run across these three points. Thus, ray AB connects to Ray AE at point A, to form line BE.

Ray AB and ray AE are therefore parts of line BE.

Answer:

[tex]x^{2} - 3x - 28[/tex]

Step-by-step explanation:

Step 1:  Foil out the expression

[tex](x + 4)(x - 7)[/tex]

[tex](x * x) + (x * -7) + (4 * x) + (4 * -7)[/tex]

[tex](x^{2}) + (-7x) + (4x) + (-28)[/tex]

[tex]x^{2} - 3x - 28[/tex]

Answer:  [tex]x^{2} - 3x - 28[/tex]

The value of y is 3.

Answer:

Solution given;

: y + 3 = –y + 9

add +y on both term

y+y+3=-y+y+9

subtract both side by 3

2y+3-3=9-3

2y=6

divide both side by 2

2y/2=6/2

y=3

Answer:

y = 3

Step-by-step explanation:

y + 3 = –y + 9

Add y to each side

y+y + 3 = –y +y+ 9

2y +3 = 9

Subtract 3 from each side

2y+3-3 = 9-3

2y = 6

Divide by 2

2y/2 = 6/2

y = 3

Answer:

A n L = null (0)

A U L = a,b,e,c,k,j

Answer:

The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

Step-by-step explanation:

From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7

The variability in the heights of the sixth graders = 1.2

The variability in the heights of the seventh graders = 1.7

To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders

That is, 1.7/ 1.2 = 1.4167 ≅ 1.4

Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

Answer:

6

Step-by-step explanation:

We can find the value x using Euclidian theorem

x^2 = 3*12

x^2 = 36

x = 6

Answer:

1. x = -2 , 3

2. x = - 1, 5

3. -1, 6/5

4. - 0/3, 1.3

Step-by-step explanation:

1.

[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]

2.

[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]

3.

[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]

4.

[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]

Answer:  4/7

This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.

Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7

Notice that multiplying the original and perpendicular slopes together gets us -1

(-7/4)*(4/7) = -1

This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Given

y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )

slope m = - [tex]\frac{7}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]

Answer:

3:1

Step-by-step explanation:

Answer:

200 blue

Step-by-step explanation:

8:3 = 80:30 (red to green)

blue: red

5 :2

*40

200:80

Answer:

(C) $2640

Step-by-step explanation:

2491 x 0.06 = 149.46

2491 + 149.46 = 2640.46

Answer:

A: 1.77

Step-by-step explanation:

The probability of not winning would be :

1 - probability of winning

This is written as:

1 - n/n+3

Now to simplify as a single fraction rewrite as:

N+3/n+3 - n/n+3

Simplify to get : 3/n+3

Answer:

(a) [tex]T(x) = 101 + 0.029 x[/tex]

(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

(c) See explanation

Step-by-step explanation:

[tex]T(x) = 172 + \frac{29}{1000}x[/tex]

Given

[tex]Flat = 101[/tex]

[tex]Rate = 29\ per\ 1000[/tex]

Solving (a): The function for total amount

This is calculated as:

[tex]T(x) = Flat + Rate * x[/tex]

Where:

[tex]x \to[/tex] taxable value

So, we have:

[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]

[tex]T(x) = 101 + 0.029 * x[/tex]

[tex]T(x) = 101 + 0.029 x[/tex]

Solving (b): The inverse function

[tex]T(x) = 101 + 0.029 x[/tex]

Rewrite as:

[tex]y = 101 + 0.029x[/tex]

Swap the variables

[tex]x = 101 + 0.029y[/tex]

Make y the subject

[tex]0.029y = x - 101[/tex]

Divide by 0.029

[tex]y = \frac{x - 101}{0.029}[/tex]

Multiply  by 1000/1000

[tex]y = \frac{1000(x - 101)}{29}[/tex]

Replace y with the inverse function

[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

Solving (c): Interpret (b)

The inverse function, in this case; is the taxable value calculated from the amount of property tax

Answer:

2.75

Step-by-step explanation:

(11/12) / (1/3) = 2.75

Answer:

the answer is: 11/4

The y intercept would be the minimum amount charged, which would be the flat rate of $3

Answer: the y-intercept is 3

Answer:

Rashmi attempted 10 questions incorrectly while Jashpal attempted 20 questions incorrectly

Step-by-step explanation:

Marks awarded for each correct answers = +2

Marks deducted each incorrect answer = -1

The number of questions Rashmi answered = All the question

Rashmi's score = 30

The correct answers Rashmi gave = 20

The number of questions Jashpal answered = A few questions

Jaspal's score = -10 marks

The number of correct questions Jashpal answered = 5

Let x represent the number of incorrect questions, for Rashmi, we have;

20×2 + x × (-1) = 30

x = 20×2 - 30 = 10

The number of questions Rasmi attempted incorrectly, x = 10

The number of questions Jashpal attempted incorrectly is given as follows;

5×2 + x × (-1) = -10

∴ 10 - x = -10

x = 10 + 10 = 20

The number of questions Jashpal attempted incorrectly, x = 20.

Answer:

The derivative of the position function gives the velocity function

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

Answer:

190cm²

Step-by-step explanation:

there is 2 types of sides on this. the top and bottom are the same, the front, back, left, and right are the same.

We first calculate the surface area of the top and bottom.

5x5=25

now we multiply that by 2 because the top and bottom are the same

25x2=50

now we look at the remaining 4 sides. the sides on these are 7 and 5 so we do

7×5=35

since we have 4 sides, we multiply the answer by 4

4×35=140

we add the sums together

140+50=190cm²

Answer:

190 cm^2

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

Use the formula with the given dimensions of the prism:

2 (5 x 5) + (7 x 5) + (7 x 5)

= 2 (25 + 35 + 35)

= 2 (95)

= 190

So the SA of the rectangular prism is 190 cm^2

Answer:

The answer is 144,5

Step-by-step explanation:

144,5/170×100 =85%

Answer:

2 solutions

i hope this will help you

Answer:

The answer is 9:30 pm :D.

Answer:

BD = 10

Step-by-step explanation:

THEY ARE EQUAL

BECAUSE LINE AB IS THE ANGLE BISECTOR

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

We are told the focus is at (-3, -5)

Directrix is at x = -7

This is a horizontal parabola and thus the general equation is;

(y - k)² = -4p(x - h)

Where;

(h, x) is the coordinate of the vertex.

The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7

Thus, coordinates of vertex is;

(-7 + (-3))/2, (-5 + (-5))/2

> (-5, -5)

Thus, equation is;

(y - (-5))² = -4p(x - (-5))

(y + 5)² = -4p(x + 5)

Where p is the distance from vertex to directrix. Thus;

p = -(-7 - (-3))

p = -(-7 + 3)

p = 4

Thus;

(y + 5)² = -4(4)(x + 5)

(y + 5)² = -16(x + 5)

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just logic