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Mariana [72]
3 years ago
5

John is five years older than his sister. The product of their present ages is 150.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0
Took 3 of us in grade 10 but johns present age is 77.5 and his sister is 72.5
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What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63?
jonny [76]

Answer:

A

Step-by-step explanation:

Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation \frac{-b}{2a}. So, we can take the coefficients from the equation and plug them in.

\frac{-b}{2a} \\\frac{-(-16)}{2(1)}\\\\\frac{16}{2}\\\\8

Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is c-ah^2, where h is the x-value of the vertex (8).

(63)-(1)(8)^2\\63-64\\-1

So the vertex is (8,-1).

Finally, the axis of symmetry is the x-value of the vertex, also called h.

Final answer, vertex: (8,-1) and axis of symmetry: x=8

Hope this helps!

3 0
2 years ago
Evaluate this expression for the given value of the variable 4 (d+7);d=-2
Paha777 [63]

Exact Form:

d

=

−

7

−

√

47

2

,

−

7

+

√

47

2

d

=

-

7

-

47

2

,

-

7

+

47

2

Decimal Form:

d

=

−

0.07217269

…

,

−

6.92782730

…

6 0
2 years ago
Read 2 more answers
identify and equation in point-slope form for the line perpendicular to y=-1/2x-7 that passes through (-3,-2)
bazaltina [42]

Answer:

  y +2 = 2(x +3)

Step-by-step explanation:

The equation in point-slope form for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...

  y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...

  y +2 = 2(x +3)

8 0
3 years ago
At the school Fall Festival the students council sold soda at the fundraiser the table below shows the number of sodas they sold
mash [69]

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

3 0
2 years ago
Find the number between 30 and 70 that is divisible by 8, and when divided by 5 has a remainder of 1
monitta
30+70÷8÷5-1=
=30.75
hope this helps
7 0
2 years ago
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