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Orlov [11]
3 years ago
11

Y=-3(x+4)² + 1 Vertex to standard

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

Correct

Step-by-step explanation:

You might be interested in
A angles of an equilateral triangle are congruent. If x represents the measure of the third angle of the triangle, what is x?
Tatiana [17]

Answer:

D

Step-by-step explanation:

Since x is the measure of the third angle and all 3 angles are congruent then

All 3 angles have a measure of x

The sum of the 3 angles in a triangle = 180°, this

x + x + x = 180 ← is the required equation

3x = 180 ( divide both sides by 3 )

x = 60

8 0
3 years ago
Rewrite the expression in standard form ( use the fewest number of symbols and characters possiable). a. 5g•7h b.3•4•5•m•n
CaHeK987 [17]

Answer:

a. 35 *gh or 35 gh

b. 60 *mn or 60 mn

Step-by-step explanation:

The fewest number of symbols and characters can be obtained by multiplying the constant numbers with the constant numbers and variables with the variables.

a. The co efficients 5 and 7 are multiplied to get 35 and g is multiplied with h to get gh. So the answer is 35*gh. It can be further simpliefied into 35 gh

b. The co efficients 3,4 and 5 are multiplied to get 60 and m is multiplied with n to get mn. The answer is 60* mn. On further simplificaation we get 60 mn.

6 0
3 years ago
If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

8 0
3 years ago
Passes through (4, 2) and (4,-5) in standard form
elena-s [515]

Answer:

x+4=0

Step-by-step explanation:

7 0
3 years ago
What’s the length of the leg?
AveGali [126]

Answer:

a = 4 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 3² = 5²

a² + 9 = 25 ( subtract 9 from both sides )

a² = 16 ( take the square root of both sides )

a = \sqrt{16} = 4

3 0
3 years ago
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