Use the graph to answer questions 1-5
1) What are the x-intercepts of the
parabola?
2) What is the vertex of the parabola?
3) What is the equation of the axis of
symmetry of the parabola?
4) What is the equation of the function in vertex form?

9514 1404 393

Answer:

  a) A = 73°, C = 59°, a = 16.7

  b) A = 11°, C = 121°, a = 3.3

Step-by-step explanation:

The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.

The given angle is opposite the shorter of the two given sides, so there are two possible solutions.

Acute triangle solution

The Law of Sines gives the relation ...

  sin(C)/c = sin(B)/b

  sin(C) = (c/b)sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°

Then angle A is 132° -59° = 73°, and side 'a' is ...

  a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7

__

Obtuse triangle solution

The other value of arcsin(15/13·sin(48°)) is used:

  C ≈ 121°   ⇒   A = 11°

  a = 13·sin(11°)/sin(48°) ≈ 3.3

__

The two solutions are ...

  A = 73°, C = 59°, a = 16.7

  A = 11°, C = 121°, a = 3.3

We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.

_____

Additional comment

In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.

Answer:

7%

Step-by-step explanation:

Answer:

HELP ME!?

Step-by-step explanation:

Answer:

6-8-10

9-12-15

5-12-13

Step-by-step explanation:

We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.

If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles

The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have:

Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.

There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.

On applying Pythagoras theorem.

6² + 8² = 10²

9² + 12² = 15²

Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

Learn more about the right-angle triangle here:

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Answer:Answer is A

Step-by-step explanation:

Correct option is

A

6x+2y=15

Given line is   y=−3x+4

This is slope intercept form of a line where slope of line is  −3.

Since, two lines are parallel When their slopes are equal.

Slope of line is 6x+2y=15

⇒2y=−6x+15

⇒y=−3x+

2

15

​

 is equal to −3

Option A is correct.

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

To know more about dilation follow

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Answer:

31

Step-by-step explanation:

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

Answer:

Since x + y + z = 180° and z = 90°, y + z = 90°

Thus x + y = z  

Step-by-step explanation:

Answer:

The answer is 3/8.

Hope this helped!!

Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

Answer:

55x

Step-by-step explanation:

5x*2+45x=

10x + 45x= 55x

Answer:answer b

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Step-by-step explanation:

- 2x-2y=-6

3x+4y=8

multiply equation (1) by 3 and equation (2) by 2

- 6x-6y=18

6x+8y=16

Add

2y=34

y= 34÷2

y=17

substitute 17 for y in equation (2)

3x+4y=8

3x+4(17)=8

3x+68=8

3x=8-68

3x=-60

x=-60÷3

x=-20

x=-20,y=17

Answer:

yesssssssssssssssssss girl get it lol

Step-by-step explanation:

Answer:

y=1/2x+7

Step-by-step explanation:

First find the slope of the function

Use slope formula:

10-9/6-4 =1/2

M= 1/2x

Find y-intercept:

9=1/2(4)+b

B=7

It is because u can only do pathagreom therom on right triangles.

2*2 + 2.1*2.1

4+4.41=8.41

square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\$\ 6}[/tex]

Step-by-step explanation:

Price = $130.42

Sales tax = 4.9% of 130.42

Tax as amount:

= 4.9 / 100 * 130.42

= 0.049 * 130.42

= 6.3

≈ $6

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

Hope this helped!

Answer:

2733550424166

Step-by-step explanation:

can I get brainliest

Answer:

Amira,  we can tell by looking at the two graphs

Step-by-step explanation:

the blue graph goes through  (1,1) while the red graph goes thur  (1,3)  so because  the y component grows by 3 we know K = 3  

:)

Answer:       0.3

Step-by-step explanation:        I took the test

Answer:

I think 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

Answer:

well if you would divide 74.85 by 45% you would  33.6825.

and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)

Answer:

$33

Step-by-step explanation:

Given :

45%

$74.85

45% of 74.85 is

Answer = $33

Answer:

The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .

Step-by-step explanation:

Answer:

Zero

Step-by-step explananation:

An inverse is the opposite of another number, so if you add them together it would equal zero.

Here are a few examples.

5+-5=0

9+-9=0

150+-150=0

-220+220=0

-476+476=0

The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.

Hope I explained well:)