for triangle FGH, angles F and G are known, as is the length of side h. Which method should be used to start solving triangle FGH?

- neither law can be used
- law of sines
- law of cosines
- both laws can be used

Answer:

it would be c because it is plotted correctly

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

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Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

Answer:

g(x + 7) = 11x + 80

g(x) + g(7) = 11x + 83

Step-by-step explanation:

g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80

g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Answer:

Um what’s this language?

Step-by-step explanation:

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

5/2, 2.6, 1 + sqrt(3), sqrt(8)

Step-by-step explanation:

Use a calculator:

sqrt(8) = 2.83

5/2 = 2.5

2.6 = 2.6

1 + sqrt(3) = 2.73

Answer:

5/2, 2.6, 1 + sqrt(3), sqrt(8)

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

Answer:

The solution is (-1/2, -2)

Step-by-step explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

 6f-6g=5

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

     -2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f.  Let's use the first equation:    6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2.  The solution is (-1/2, -2)

Given:

The expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

It can be rewritten as:

[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]

Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].

Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

PLEASE MARK ME AS BRAINLIEST

Thus the area of shaded region is 301.5 cm^2.

"The collection of all points equidistant from a fixed point in a plane is called a circle".

For the given situation,

The radius of the inner circle be r = 8 cm and

the radius of the outer circle be R = 16 cm

The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]

Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

⇒[tex]200.96[/tex]

≈[tex]201[/tex]

Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]

⇒[tex]803.84[/tex]

≈[tex]804[/tex]

The shaded region replicates the semicircle. So,

Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]

⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]

⇒[tex]402-100.5[/tex]

⇒[tex]301.5 cm^{2}[/tex]

Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]

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Answer:

6log_4(x) - 4log_4(y)

Answer:

The one with marbles should have a larger volume because the box must be larger also.

Step-by-step explanation:

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

Answer:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Step-by-step explanation:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

Answer:

2.25

Step-by-step explanation:

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Answer:

4

Step-by-step explanation:

for every 400 meters aarav runs bahir runs 500

when bahir is at 2000 aarav is at 1600

What are the options???

Answer:

Step-by-step explanation: