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3 years ago

0.5(x - 3) + (1.5 - x)= 5x

Mathematics

1 answer:

baherus [9]3 years ago

3 0

The answer to this problem is false.

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Write an expression equivalent to x^2+7x+6x

Readme [11.4K]

Answer:

x(x+13), or x^2+13x

Step-by-step explanation:

You factor one x out, or you can just add the x values.

4 0

2 years ago

In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length o

Flura [38]

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

s------> the length of the third side

$25+s > 35 \\ s > 35-25 \\ s> 10\ cm$

$25+35 > s \\ 60 > s \\ s< 60\ cm$

$10\ cm < s < 60\ cm$

therefore

The answer part a) is

$10\ cm < s < 60\ cm$

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

$P=25+35+s\\P=60+s$

For $s> 10\ cm$

the perimeter is equal to

$P > 60+10\\ P>70\ cm$

For $s< 60\ cm$

the perimeter is equal to

$P < 60+60\\ P$

$70\ cm < P < 120\ cm$

therefore

the answer part b) is

$70\ cm < P < 120\ cm$

4 0

3 years ago

Read 2 more answers

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc

Anna11 [10]

Answer:

The final velocity v is 21.74 m/s.

Step-by-step explanation:

Given:

$\textrm{initial velocity} = u = 9\ m/s\\\textrm{acceleration} = a = 7\ m/s^{2}\\\textrm{distance} = s = 28\ m$

To find:

$\textrm{final velocity} = v = ?$

Solution:

As we know the third equation of motion is represented as

$v^{2} = u^{2} + 2\times a\times s\\$

Substituting the values u, a and s in the above equation we get

$v^{2} = 9^{2} + 2\times 7\times 28\\ =81 + 392\\=473\\$

$v =\±\sqrt{473} \\v =\sqrt{473} \ \textrm{as acceleration is positive v is also positive}\\v = 21.74\ m/s$

7 0

3 years ago

The number _____ is divisable by 2,3,4,5 and 6

Tanya [424]

It is 420,5040,840 and 1680 is divisible by 2,3,4,5 &6.

3 0

3 years ago

What is the y value of the vertex of the function f(x)=-(x-3)(x+11)

AnnyKZ [126]

Answer:

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = $\frac{-b}{2a}$

Plug known variables in:

$x = \frac{-(-8)}{2(-1)}$

$x = \frac{8}{-2}$

$x = -4$

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

$y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\$

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0

3 years ago