expand the following:

a) 8(×-2y)​

Answer:

-1

Step-by-step explanation:

The formula to find the slope of a line is:

[tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

where (x1, y1) and (x2, y2) are points on the line. We can substitute the points (-10, 0) and (-13, 3) into the formula and simplify:

[tex]\frac{3-0}{-13-(-10)} =\frac{3}{-13+10} =\frac{3}{-3} =-1[/tex]

This means the slope of the line is -1.

Hello,

[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]

[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]

In the triangle ABC,

[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]

[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]

In the triangle ACB,

[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]

Answer:

A general exponential function is written as:

f(x) = A*e^(k*x)

Where A and k are real numbers.

Because we want to "create" a exponential function, we must assign numbers to A and k, let's assign:

A = 1

k = 1

then our function is just:

f(x) = e^(x)

Now we want to shift down 7 units.

So let's describe a general vertical shift.

For a general function f(x), a vertical shift is written as:

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

Here we want to have a shift down of 7 units, then we would write:

g(x) = f(x) - 7

Replacing by the actual function f(x) we get:

g(x) = e^x - 7

Below you can see the graphs of both functions:

Where the orange one is f(x) and the purple one is g(x).

Answer:

C the line that divides the design into two similar parts

The line of symmetry divides the design into two similar parts.

"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "

A line divides a design into two parts.

If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.

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With ASA, we need two angles and an included side. An included side is one that is between the two angles.

But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.

Therefore, we need to know that side JI is congruent to YX.

Hope this helps!

Given:

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].

To find:

The amount paid by each boy.

Solution:

We have,

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:

[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]

John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:

[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]

Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.

Answer:

{x| x = -7, -6, 2, 11, 3}

Step-by-step explanation:

domain of a relation is the set of values of that act as input

so answer:-

{x| x = -7, -6, 2, 11, 3}

domain is taken as x

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

14

Step-by-step explanation:

[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]

Answer:

2/12

Step-by-step explanation:

The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

Answer:

She's, "HOT"!

Step-by-step explanation:

Hello,

[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]

Answer A : 45°

Answer:

B

Step-by-step explanation:

one half lb divided by 7 people will equal one fourteenth

Answer:

D = 51, other = 30

Step-by-step explanation:

d = | 5  1 |

     |-1  10|

D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51

| 2   4|

|-3   9|

(2 x 9) - (4 x -3) = 18 + 12 = 30

Answer: C. (−4, 0), (2, 0)

Step-by-step explanation:

By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)

Answer:

Step-by-step explanation:

I got it right on my 8.06 exam! ✨ Keep believing, superstar!

and go see Sing 2 for me..its an awesome movie and it'll make u smile!

Answer:

(6,101)

Step-by-step explanation:

x value of vertex is given by b/2a in quadratic.

b=12 and a=1

that gives you a 6, then plug in x=6 in the quadratic equation and that gives you

y=101

Answer:

-4sin(4x-3)

Step-by-step explanation:

Given y = cos u, u = 4x - 3

dy/dx = dy/du * du/dx

dy/du = -sinu

du/dx = 4

dy/dx = -4sinu

since u = 4x - 3

dy/dx = -4sin(4x-3)

Answer:

for each square the perimeter would be length times width. so 2x2 =4

Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.

Answer: y = $50x + 100

Answer:

The answer is <AQS = BQS when AS=BQ and AQ=BQ

Step-by-step explanation:

Answer:

The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".

Step-by-step explanation:

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.

The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)

The coordinates of the triangle B are:

(1, 3), (1, 0) and (3, 0)

By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.

Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.

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Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Step-by-step explanation:

Answer:

wait what

Step-by-step explanation:

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84