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3 years ago

Solve x2 - 13x + 30 = 0

Mathematics

2 answers:

Svetllana [295]3 years ago

6 0

Answer:

or, x2-(2-15)x +30= 0

or, x2-2x-15x + 30= 0

or,x(x-2)-15(x-2)=0

or, (x-2) (x-15)=0

either, or,

x-2=0 x-15=0

almond37 [142]3 years ago

5 0

Answer:

x2-(10+3)x+30=0

x2-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either, or,

x-10=0 x-3=0

x=10 x=3

therefore,x=10,3

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ra1l [238]

The answer is only I and II

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2 years ago

Please help me with this please and thank you

Alina [70]

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

3 0

1 year ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

Onyango bought p oranges and later on 1%are bad how many oranges remained

Paraphin [41]

Answer:

100% all of them

Step-by-step explanation:

he bought (p) oranges so if 1% are bad they are still there, so there are still 100% of the oranges remaining because he hasn't aten any or disposed of any.

3 0

2 years ago

A cone has a diameter of 18 units and height of 8 units. What is its volume?

sveta [45]

The radius of your cone is half of 18 units = 9 units.

The volume of any cone is <span><span>V = (1/3) · (pi) · (radius)² · (height) </span>
</span>
-- Take that formula for the volume of any cone.
-- Write '8' in place of 'height'.
-- Write '9' in place of 'radius'.
-- Write '3.142' in place of 'pi'.
-- Complete the arithmetic.
-- Bada-bing, you've got the volume.

6 0

2 years ago

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