Given the relation x = y 2 − 1, identify the x- and y- axis intercepts.

2 Answers:

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Explanation:

There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.

Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.

Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.

Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.

As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).

Step-by-step explanation:

3x8 is your answer

hopes this helps ^^

Answer:

Congruent, Supplementary, Neither

Step-by-step explanation:

in the same order

Answer:

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

Step-by-step explanation:

The figure is as follows :

Given - The diagram represents two statements: p and q.

To find - Which represents regions A, B, and C?

A) p v q

B) p -> q

C) q ^ p

D) q -> p​

Solution -

From the figure, we can see that,

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

The truth table is as follows :

p         q        p ∧ q

T         T           T

T          F           F

F          T           F

F           F          F

Answer:

A) 2280 and length is 12mm and width is 190mm

B) 190, 12

Step-by-step explanation:

Area of 1 cylinder: 456

456*5= 2280

38*5=190

diameter:190mm

height:12mm

190*12= 2280

Answer:

the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions

Answer: Bottom left corner

Angle DEC and Angle DEH

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Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

Answer: 7x+10

Step-by-step explanation:

combine like terms

x+3x+x+2x+2+5+3

7x+10

Answer:

Step-by-step explanation:

Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

First: find the (x) and collect them, put them in the bracket (to ensure the + or -)

(x + 3x + x + 2x) + 2 + 5 + 3

=  7x + 2 + 5 + 3

Then we add up the numbers

= 7x + 10

This is the end result.

x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

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Answer:

its 1 and 3 and 5

Step-by-step explanation:

because i saisd so

Answer:

1 guest is 6 ounces

40 guests is 240 ounces

240 ounces = 15 pounds of meat

Answer:

150π ft³

Step-by-step explanation:

Volume is ,

=> V = πr²h

=> V = π × (5 ft)² × (6 ft)

=> V = 25 × 6 × π ft³

=> V = 150π ft³

Answer: The two numbers are $x = 5$ and $y = 7.5$.

Step-by-step explanation:

Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:

$$2y = 3x + 15$$

$$\frac{1}{5}x + \frac{1}{9}y = 10$$

We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get

$$10y = 15x + 75$$

$$9x + y = 90$$

Subtracting these equations, we get

$$8y - 9x = 15$$

Multiplying this equation by 8, we get

$$64y - 72x = 120$$

Adding this equation to 5 times the first equation, we get

$$69y - 72x = 120 + 75$$

$$69y - 72x = 195$$

Dividing both sides by 3, we get

$$23y - 24x = 65$$

Subtracting this equation from 4 times the second equation, we get

$$96y - 36x = 360 - 260$$

$$96y - 36x = 100$$

Dividing both sides by 60, we get

$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$

Substituting the expression for $y$ from the first equation, we get

$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$

This simplifies to

$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$

Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.

Given:

The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]

[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]

Therefore, the correct option is D.

By using concept of angle relationship, we get x equal to 27°.

We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.

∠BAF+∠EAF=180°

∠EAF=180° - 138°

∠EAF=42°

Since, ∠EAF and ∠BAC are vertically opposite angle,

Hence,

∠EAF =  ∠BAC =42°

Again,

∠EAD+∠DAC+BAC=180°

4x+30°+42°=180°

4x=180°-72°

4x=108°

x=27

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Answer:

its c

Step-by-step explanation:

Answer:

Angle BEC and DEA

Step-by-step explanation:

Adjacent = sharing a common side/vertex.

So angle BEC and DEA are adjacent to CED.

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

Answer:

x= -4

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

Answer:

if x > 5 => x - 3 > 2 >0

=> x - 3 > 0

So |x - 3| = x - 3

The expression that represents how much money Kate will collect

is y = 5x + 2x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.

Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.

Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.

y = 7x.

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Answer:

A: y = 9.5x + 22.5

Step-by-step explanation:

Answer:

10.08 seconds

Step-by-step explanation:

15-4.92=10.08

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9