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3 years ago

3x+7=16 can someone help me solve this

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

***3x+7=16***

Subtract 7 from each side. You get 3x=9

Divide each side by 3 to isolate x. You get x=3

You can check the answer by plugging in the 3 into the original equation.

You get 3(3)+7=16; which is 9+7=16

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Yuliya22 [10]

Answer:

B and D

B: the eagles have more variability in the ages of their players.

D: The Eagles have more players.

Step-by-step explanation:

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3 years ago

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Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A.

Elenna [48]

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

$y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)$

Respectively it's properties would be as follows,

$\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1$

8 0

3 years ago

If arc EF = 151°, find mEDF.

user100 [1]

There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.

We can deduct it as well.

1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°

2) Draw a chord from F to D and other chord from D to E.

You have constructed two triangles, FOD and DOE.

3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.

4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.

5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.

This is a + a + b + b + (360 - central angle) = 360°

=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°

(a+b) is the angle that you are looking for.

Then the answer is 71.5°

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3 years ago

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kati45 [8]

The answer is c f(x)

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3 years ago

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Find the vertex of each parabola

Setler79 [48]

Answer: 16) Vertex = (3, 39)

17) Vertex = (-2, -17)

<u>Step-by-step explanation:</u>

When given the standard form of a quadratic equation: ax² + bx + c

use the Axis of Symmetry formula to find the x-value of the vertex. x = -b/(2a)

Then plug the x-value into the given equation to find the y-value.

16) y = -x² + 6x + 30

↓ ↓ ↓

a= -1 b=6 c=30

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(6)}{2(-1)}\quad =\dfrac{-6}{-2}\quad =3$

Max: y = -(3)² + 6(3) + 30

= -9 + 18 + 30

= -9 + 48

= 39

Vertex: (3, 39)

***************************************************************************************

17) y = 3x² + 12x - 5

↓ ↓ ↓

a= 3 b=12 c= -5

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(12)}{2(3)}\quad =\dfrac{-12}{6}\quad =-2$

Min: y = 3(-2)² + 12(-2) - 5

= 3(4) - 24 - 5

= 12 - 29

= -17

Vertex: (-2, -17)

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3 years ago