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3 years ago

Please help If you know the answer!!

Mathematics

1 answer:

prisoha [69]3 years ago

4 0

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1 -8a*-1

-3 +8a

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Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of

likoan [24]

Answer:

$1.2x +x =792$

$2.2x =792$

And we got finally:

$x =\frac{792}{2.2}= 360 ft$

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

$1.2x +x =792$

$2.2x =792$

And we got finally:

$x =\frac{792}{2.2}= 360 ft$

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0

4 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .

See the attachment for a plot of the line.

7 0

3 years ago

144 8e bölersem sonuç kaç olur?

eduard

Answer:

Step-by-step explanation:

3 0

3 years ago

Evaluate 50 + 0.5 ×(41 - 32)

Zarrin [17]

To solve this expression, we need to follow the order of operations (BEDMAS)

50+0.5(41-32)
=50+0.5(9)
=50+4.5
=54.5

Your answer is 54.5

7 0

3 years ago

A walking path across a park is represented by the equation y=-3x - 3.A

kifflom [539]

Answer:

y -6 = 1/3(x +3) or y = 1/3x +7

Step-by-step explanation:

The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:

m = -1/(-3) = 1/3

The point-slope form of the equation for a line can be used to write the equation for the new path:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...

y -6 = 1/3(x +3) . . . . point-slope form

y = (1/3)x +7 . . . . . . slope-intercept form

5 0

3 years ago