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Sonbull [250]
3 years ago
10

What is the value of x^3\cdot y^1x ​3 ​​ ⋅y ​1 ​​ x, start superscript, 3, end superscript, dot, y, start superscript, 1, end su

perscript when x=5x=5x, equals, 5 and y=10y=10y, equals, 10?
Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

The expression x^3y means that you have to cube the value of x and multiply it by the value of y.

So, the value of x is 5, which becomes 125 when cubed. When we multiply it by the value of y, which is 10, the result is 1250:

x^3y = 5^3\cdot 10 = 125\cdot 10 = 1250

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I solved 4, the answer is 11, seconds: 5x+4(x-3)=87 = x=11, but I don't know how to solve number 5, please anyone explain how to
liq [111]

The answer x = 11 is correct for problem 4. Nice work.

Use this x value to find the answer in problem 5. From problem 4, we're told that Romeo runs at a speed of 5 m/s. If he runs for x = 11 seconds,then he runs a total distance of:

5*x =(5 m/s)*(x meters) = (5 m/s)*(11 seconds) = 5*11 = 55 meters

The answer to problem five is 55 meters

8 0
3 years ago
Descried how to derive the quadratic formula from a quadratic equation in standard form
Aleks [24]

Answer:

The standard form of a quadratic equation is:

ax^2+bx+c=0, a\neq 0

Quadratic Formula Derivation:

ax^2+bx+c=0\\

$x^2+\frac{b}{a}x+\frac{c}{a} =0 $

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$  ( x+\frac{b}{2a} )^2 =  \frac{b^2-4ac}{4a^2}  $

Square Root property:

$x+\frac{b}{2a}  = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}   $

$x  = -\frac{b}{2a} \pm  { \frac{\sqrt {b^2-4ac}}{2a}}   $

$x  =  \frac{-b\pm\sqrt{b^2-4ac}} {2a}  }   $

8 0
3 years ago
Give an algebraic expression to the given verbal expression
patriot [66]
Twice means times 2.

1) 2(ab) gives twice the product of a and b.
2) (2a)b gives the product of twice a and b.
8 0
3 years ago
Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a
beks73 [17]

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

3 0
3 years ago
Angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I
Afina-wow [57]

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

8 0
3 years ago
Read 2 more answers
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