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Kryger [21]
3 years ago
10

What is the equation of the parabola?

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0
It Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.
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Solve the quadratic equation x2+8x−30=0 by completing the square.
diamong [38]

Answer:

               \bold{x=-4\pm\sqrt{46}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}

5 0
3 years ago
The school is 3.2 blocks from someone’s house. how many blocks does the person walk to go to and from school?
DENIUS [597]

The answer is: " 6.4 blocks " .

________________________________________________________

3.2 blocks (one way), PLUS: 3.2 blocks the other way:

3.2 + 3.2 = 6.4 blocks .

or: (3.2) * 2 = 6.4 blocks .

________________________________________________

The answer is: " 6.4 blocks " .

________________________________________________

4 0
3 years ago
7.2 - 3 C equals 2 c - 2
dolphi86 [110]

Answer:

9.2/5= C

Step-by-step explanation:

7.2- 3C = 2C -2     First, add the 2 on the other side to isolate 2C on one side

+2                   +2

9.2 - 3C = 2C       Next, add 3C to the other side        

+3C   +3C

9.2 = 5C                Finally divide both sides by 5 to find the value of C

9.2/5= 5C/5

9.2/5 = C     by dividing by 5 the 5 cancels out and you're left with the C value

5 0
3 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope through(-3,2), slope = -
arlik [135]
So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b

the slopt inercetp form is y=-x-1

5 0
3 years ago
Read 2 more answers
B2≤4<br><br> What is the solution to the inequality?<br><br> b≥8<br><br> b≤8<br> b≤2<br> b≥2
Allisa [31]
The solution is the third one:
b≤2
8 0
4 years ago
Read 2 more answers
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