In the diagram M identify all of the angles that are congruent to 2

Answer:

if I had to guess I whould say i

The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

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Answer:

Given function:

We can rewrite it as:

Zeros are:

As leading coefficient is negative the function is decreasing.

As the function is of degree 3, it is odd.

Considering the above two factors we can define the shape of the graph:

See the graph and zero's reflected.

Analyze the function:

[tex]f(x) = \\ ( - x + 2)(x + 1)(x + 2)[/tex]

Write properties of function:

Solution:

x-intercept/zero

[tex] {x}^{1} = - 2 \\ {x}^{2} = - 1 \\ {x}^{3} = 2[/tex]

y-intercept:

[tex]y = 4[/tex]

domain:

[tex]( - \infty \: . \: + \infty )[/tex]

type of function:

[tex]cubic \: function[/tex]

standard form:

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

factorized form:

[tex]f(x) = - ( - (x + 1)( x + 2) ( - 2x + 2))[/tex]

even/odd:

[tex]neither[/tex]

bounce/cross x-axis:

[tex]x = - 2 \: . \: cross \: . \: x = - 1 \: . \: cross \: . \: x = 2 \: . \: cross[/tex]

increasing interval:

[tex]{ - \frac{1}{3} - \frac{ \sqrt{13} }{3} - \frac{1}{3} + \frac{ \sqrt{13} }{3} }[/tex]

decreasing interval:

[tex]( - \infty - \frac{1}{3} - \frac{ \sqrt{13} }{3} )( - \frac{1}{3} + \frac{ \sqrt{13} }{3} \infty )[/tex]

number of possibles real zero:

[tex]3[/tex]

number of possible turning points:

[tex]2[/tex]

order/degree:

[tex]3[/tex]

leading term:

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

leading coefficient:

[tex] - 1[/tex]

constant terms:

[tex] - 1[/tex]

end behavior:

[tex]as \: x + \infty \: f(x) - \infty \\ as \: x - \infty f(x) \infty [/tex]

Answer: 63

Step-by-step explanation:

14.5x1.5=21.75

15x2.75=41.25

21.75+41.25=63

Answer:

A.

Step-by-step explanation:

(x-5)^2 +(y+ 2)^2= 9 radius

Rest of the questions...

1. A. (x-5)^2 +(y+ 2)^2= 9 radius

2. C. (x-3)^2+(y+5)^2= 64

3. A. Center =(-8,-9) radius 3

4. The equation of a circle is (x-7)^2 + y^2=225

5. A circle with center (-2,6) passes through the point (-2,10).

6. A circle with center (1,2) passes through the point (0,6).

7. Write the equation of the circle shown here.

8. C. (x-4)^2 + (y-3)^2

9. C. x^2+Y^2 = 15,81,600

10. Part B which of the following is the length of a 1 degree arc on the equator, to the nearest mile.

Answer:

I think it's 4/10 which is 0.4

Step-by-step explanation:

Answer:

I think the answer is 0.4 or 4/10 as well as the other guy

Step-by-step explanation:

17Answer:

Step-by-step explanation:

The area of ΔNOP is approximately 2.11 square centimeters, rounded to the nearest 10th of a square centimeter.

Suppose the vertices of the considered triangle ABC are on A(A_x,A_y), B(B_x,B_y), C(C_x,C_y), then, the area of the triangle is given by:

[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]

We are given that;

Side P=2.5cm

Side N=2.3cm

Angle O=71

Now, to find the area of a triangle, we can use the formula:

A = (1/2) * base * height

where base and height are two sides of the triangle that form a right angle, or any two sides of the triangle if we know the included angle between them.

In this case, we are given the lengths of two sides, p and n, and the measure of one angle, ∠O. To find the area, we need to first find the length of the third side, OP, using the Law of Cosines:

OP² = p² + n² - 2pn cos(∠O)

OP² = 2.5² + 2.3² - 2(2.5)(2.3) cos(71°)

OP² = 4.2694

OP ≈ 2.067 cm

Now we can use the formula for the area of a triangle:

A = (1/2) * OP * n * sin(∠O)

A = (1/2) * 2.067 * 2.3 * sin(71°)

A ≈ 2.11 cm²

Therefore, the area of triangle NOP will be  2.11 square centimeter.

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Answer:

Tn = 3n + 1

Step-by-step explanation:

The given sequence 2,5,8,11,14 is an arithmetic sequence

The nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term

d is the common difference

n is the number of terms

Given

a = 2

d = 5-2 = 8-5 = 3

Substitute into the formula

Tn = 2 + (n-1) * 3

Tn = 2 + 3n - 3

Tn = 3n + 1

This gives the term rule for the sequence  

Answer:

-54+28x

Step-by-step explanation:

-6(7-6x)+2(-6-4x)

-42+36x+2(-6-4x)

-42+36x-12-8x

-54+36x-8x

-54+28x

If this helps please mark as brainliest

Answer:

i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right

Step-by-step explanation:

but  hey if im wrong ill have my friend punch me in the arm to make it even

Answer:

0.52 (rounded)

Step-by-step explanation:

working out in image

Answer:

90°

Step-by-step explanation:

There is no work. We know the right angle in the triangle and  the x are supplementary. Meaning, they add up to 180 degrees.  Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.

Answer:

a= sqrt. 495

or

a= 22.2485954613

Step-by-step explanation:

a^2+b^2=c^2

a^2+9^2=24^2

a^2+81=576

576-81=a^2

a^2=495

Answer:

hope it helps you ,thank you,my brainliest.

Answer:

x=-4

Step-by-step explanation:

The axis of symmetry is the x-value where the two “curves” of the parabola start at. For this parabola, the curves start at x=-4 and extend outward. So, the axis of symmetry is x=-4.

Answer:

x = -4

Step-by-step explanation:

The axis of symmetry is a vertical line thru the vertex.  The vertex is (-4, 2).

So, the line of symmetry is x = -4

Answer:

7

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

About 50% of the respondents were at or between 40 and 67.5 years old.

Answer:

x = 88

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, then

x = 180 - 92 = 88

Answer:

25

ggggggggggggggggggg

Answer: 25

Step-by-step explanation:

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

Answer:

c=2

Step-by-step explanation:

8-4=4

4÷2=2

c=2

brainliest plz?

Answer:

[tex]Domain:[/tex] x∈R

[tex]Range:[/tex] y ≤ 6

So, Option B) is your answer

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

hope it helps...

have a great day!!

Answer:

-2

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

[tex]1)\ 40 - 17 = 23\ (number\ of\ females)[/tex]

[tex]2)\ 23 - 15 = 8\ (number\ of\ non-black\ female\ rabbits)[/tex]

[tex]3)\ P = \frac{8}{40} * 100 = \frac{1}{5} * 100 = 20[/tex]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

Answer:

hope it helps

Answer:

(-6, 8)

Step-by-step explanation:

Since the radius is 10 units and the center is on the origin of the circle, the distance from the origin to the point (-6, y) must be 10.

We can use the distance formula given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We will let the point (-6, y) be (x₂, y₂) and the origin point (0, 0) be (x₁, y₁). The distance is 10. Substitute:

[tex]10=\sqrt{((-6)-(0))^2+((y)-(0))^2}[/tex]

Simplify:

[tex]10=\sqrt{(-6)^2+(y)^2}[/tex]

Square both sides and simplify:

[tex]100=36+y^2[/tex]

Solve for y:

[tex]y^2=64[/tex]

Take the square root of both sides:

[tex]y=\pm\sqrt{64}=\pm 8[/tex]

Since our point is in QII, y must be positive. Hence, we will use the positive case. So, y = 8.

Our point is (-6, 8).