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3 years ago

What expressions are equal to (5x-7)-(3x-4)

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

Answer:

2x-3

Step-by-step explanation:

1) distribute the negative to the second parentheses

(5x-7) -3x+4

2) combine like terms

2x-3

Hope this helps!

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Which is an equation of the line that passes through (-1,-5) and (-3,-7)

Sladkaya [172]

Slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's find m, the slope:

The formula for slope when using two points on a line is:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1$

^^^Plug these numbers into the formula for slope...

$\frac{-7-(-5)}{-3-(-1)}$

$\frac{-2}{-2}$

^^^This is your slope

So far this is our equation:

y = 1x + b OR y = x + b

Now let's find b, the y-intercept:

To do that you must plug in the point the line goes through in the x and y of the equation.

For this question I have chosen to plug in the point (-1, -5)

-5 = -1 + b

-5 + 1 = -1 + 1 + b

-4 = 0 + b

-4 = b

Your equation is:

y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

4 years ago

Read 2 more answers

A vector u has a magnitude of 15 and a direction of 0 degrees. A vector v has a magnitude of 9 and a direction of 35 degrees. Fi

umka2103 [35]

Answer:

$\displaystyle \alpha \simeq 13^o$

$\displaystyle \left | \vec{u}+\bar{v} \right |\simeq 23$

Step-by-step explanation:

<u>Sum Of Vectors</u>

Given

$\displaystyle \vec{u}=, \vec{v}=$

the sum of both is

$\displaystyle \vec{u}+\vec{u}=$

Given a vector

$\displaystyle \vec{x}=$

The magnitude of \vec x is

$\displaystyle \left | \vec{x} \right |=\sqrt{m^2+n^2}$

And the angle is forms with the positive x-axis is

$\displaystyle tan\alpha =\frac{n}{m}$

We have

$\displaystyle \vec{u}=$

Also

$\displaystyle \vec{v}=$

$\displaystyle \vec{v}=< 7.372,5.162>$

The sum of both vectors is

$\displaystyle \vec{u}+\vec{v}=$

The magnitude of the sum is

$\displaystyle \left | \vec{u}+\vec{v} \right |=\sqrt{22.732^2+5.162^2}=22.96$

We compute the angle (direction)

$\displaystyle tan\alpha =\frac{5.162}{22.732}=0.227$

$\displaystyle \alpha =12.79^o$

Rounding to the nearest integer

$\displaystyle \alpha \simeq 13^o$

Rounding the magnitude

$\displaystyle \left | \vec{u}+\bar{v} \right |\simeq 23$

5 0

3 years ago

A package is dropped from a helicopter that is moving upward at 20.0 m/s. If it takes 18.0s before the package strikes the groun

tekilochka [14]

Answer:

We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.

We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.

Velocity at landing v = 20 - 9.8·18 = - 156.4 m/s

6 0

4 years ago

What is the answer to -7x + x?

sammy [17]

-7x+x->x=1->-7x+1x->-6x

7 0

4 years ago

Read 2 more answers

When the input is n followed by +2×3 what is the output

wariber [46]

Answer:

To find output try adding 1.5 to each input number, hope this helped.

Step-by-step explanation:

4 0

3 years ago