a=-2(negative 2) b=3 and c=5 what is 3ac-a+2b.With explanation

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]

now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation

[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]

let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal.  So what's the solution to that?  well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.

The coordinate of G is (3,6.5).

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

The Coordinate of F is (1, 7)

The Coordinate of H is (5,6)

Since G is the midpoint. So, it divides the line FH in 1:1 part

Let coordinates of G be (x, y)

Now using Section Formula,

[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]

x= 3 and y = 6.5

Hence the coordinate of G is (3,6.5)

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Answer:

Step-by-step explanation:

using sin formula

[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]

Answer:

1,064dm^2

Step-by-step explanation:

The formula for Area

—> A = lw

Plug our units into the formula

A = 38(28)

A= 1064dm^2

The percentage of the 8th graders to want to go to the water slides will be 70.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percentage of the 8th graders want to go to the water slides is found from;

[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]

Hence, the percentage of the 8th graders to want to go to the water slides will be 70.

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Answer:

C

Step-by-step explanation:

All triangles come up to a 180 degrees so you can add and then subtract

Step-by-step explanation:

the area of garden is 970.08

Answer:

970. 08 [tex]ft^2[/tex]

Step-by-step explanation:

The rose garden is made up of 2 shapes: rectangle and a half-circle.

1. We start by finding the area of the rectangle...

2. Then find the area of the half-circle

3. Add the areas together

Answer:

yes

the area of a circle is πr^2

A=πr^2

which means the area of a circle is dependent on the size of the radius of the circle.

Take for instance, the radius is 3cm and π= 3.142

A = 3.142×(3^2)

A = 28.278cm^2

Another example, if the radius of the circle is increased to 4cm, what will be the area.

A = 3.142×(4^2)

A = 50.272cm^2

Answer:

Step-by-step explanation:

The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706

To do this, we make use of the following data values

15, 16, 16, 17, 17, 17, 20, 22, 22, 30

The mean is calculated using:

Mean = Sum/Count

So, we have:

Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10

Evaluate

Mean = 19.2

Using a graphing calculator, we have:

Standard Deviation, σ = 4.30

The min and the max are:

Min = 15

Max = 30

See attachment for the histogram.

From the attached histogram, we can see that the skewness of the plot is positive skewness

The min and the max values are the range of the normal plot.

So, the percentage area between these values is 100%

Let the three samples be

16, 17, and 30

The sample mean is:

Mean = Sum/Count

So, we have:

Mean = (16 + 17 + 30)/3

Evaluate

Mean = 21

The sample mean is different from the population mean

Since the means are not equal, then we fail to accept the Null hypothesis.

To do this, we make use of a graphing calculator with the following calculation summary:

X Values

Y Values

X and Y Combined

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -8 / √((154)(3.333)) = -0.3531

The correlation coefficient -0.3531 means that there is a negative correlation between the data values

To do this, we make use of a graphing calculator with the following calculation summary:

So, we have:

y = -0.052x + 2.706

Hence, the equation of the regression line is y = -0.052x + 2.706

See attachment 2 for the scatter plot.

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Answer:

a) 20

Step-by-step explanation:

90 - 46 = 44

44 - 4 = 40

40/2 = 20

The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

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Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

Find shift

f(x-6)

So

x is decreased 6 units

So

The graph will shift 6 units right

Graph attached

Answer:

shifted right

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function:  [tex]f(x)=x^2[/tex]

Translated 6 units to the right:  [tex]f(x-6)=(x-6)^2[/tex]

Answer:

The diameter is 16.8

Step-by-step explanation:

The diameter is double the radius.

        - -- - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]

       r=8.4 in. What is the circle's diameter?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-

d(diameter)=16.8 in

         -- - - - - - - - - - - - --  -- - - - - - - - - - - -- - -

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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Answer:

2.3

CAN I GET BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

What we DON'T know is:

Solve for the decimal:

Answer is 2.3.

Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Answer: 20,-13

Step-by-step explanation:

We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.

[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]

[tex]\\ \rm\Rrightarrow 834451800[/tex]

Answer:

834,451,800

Step-by-step explanation:

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Binomial Coefficient

[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]

Answer:

2/3

Step-by-step explanation:

The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.

The slope is 2/3.

Divide total distance by total seconds:

300 meters / 50 seconds = 6 meters per second.

Answer: 6 meters

Answer:

you will have to get a protractor and angle side right

Step-by-step explanation:

that kind of wording is always misleading.

please give my regards and comments to your teacher.

a square root has ALWAYS 2 solutions : a positive AND a negative one.

in that sense the negative solution to a square root is NOT an extraneous solution.

only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.

so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.

so,

x + 4 = sqrt(x + 10)

since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.

x = -1

-1 + 4 = sqrt(-1 + 10)

3 = sqrt(9) = 3 (actually, it is ±3)

so, x = -1 is a real solution.

x = -6

-6 + 4 = sqrt(-6 + 10)

-2 = sqrt(4) = 2 (actually, it is ±2)

so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),

x = -6 is an extraneous solution.

therefore, the third answer (c) is the "correct" answer.

but actually, formally, the second answer (b) is the truly correct answer.

Answer: 490*x + 700y ≤ 4000

It is ≤ as it can either be equal to 4000 per week or less than.

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Mainly because i dont see ZG ZD on the figure.

Answer:

The first answer is Correct answer ZG ZD

Answer:

Step-by-step explanation:

Area of a triangle is a*b divided by 2

Lets assume a = 8 and b= 9

8 *

9=72

72/2=36

Answer:

is this required answer

Step-by-step explanation:

AB=3x-2

=3*8-2

=22

Answer:

[tex]\huge\boxed{\textbf{AB = 22}}[/tex]

Step-by-step explanation:

Given that:

AB = 3x - 2

Put x = 8

AB = 3(8) - 2

AB = 24 - 2

AB = 22

[tex]\rule[225]{225}{2}[/tex]