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anygoal [31]
3 years ago
7

Find the equation for the circle with a diameter whose endpoints are​ (1​,-2​) and ( 2, 5)

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

((1 + 2)/2 , (-2 + 5)/2) = (1.5 , 1.5)

(1.5 - 1)^2 + (1.5 - (-2))^2 = 12.5

Circle

(x - 1.5)^2 + (y - 1.5)^2 = 12.5

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5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
ASHA 777 [7]
Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

6 0
2 years ago
Which set of data is correct for the quadratic relation f(x) = 5(x -
Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

6 0
3 years ago
There are 40 girls and 60 boys in the math club the coach wants to divide the entire club into teams where each team has the sam
lapo4ka [179]
40 and 60
40 = 20 x 2
60 = 20 x 3

GCF = 20

<span>the greatest number of teams coach can make is 20
each team can have 2 girls and 3 boys</span>
6 0
3 years ago
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
2 years ago
Find the value of x.
olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

7 0
2 years ago
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