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3 years ago

5 (2x + 6) = -4(-5 - 23) + 3x

Mathematics

1 answer:

Luba_88 [7]3 years ago

7 0

Answer:

x= 82/7

Step-by-step explanation:

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31. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

Whitepunk [10]

Answer:

The required linear equation satisfying the given conditions f(-1)=4 and f(5)=1 is $y=\frac{-1}{2} x+\frac{7}{2}$

Step-by-step explanation:

It is given that f(-1)=4 and f(5)=1.

It is required to find out a linear equation satisfying the conditions f(-1)=4

and f(5)=1. linear equation of the line in the form

$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$

Step 1 of 4

Observe, f(-1)=4 gives the point (-1,4)

And f(5)=1 gives the point (5,1).

This means that the function f(x) satisfies the points (-1,4) and (5,1).

Step 2 of 4

Now find out the slope of a line passing through the points (-1,4) and (5,1),

$\begin{aligned}&m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\&m=\frac{1-4}{5-(-1)} \\&m=\frac{-3}{5+1} \\&m=\frac{-3}{6} \\&m=\frac{-1}{2}\end{aligned}$

Step 3 of 4

Now use the slope $m=\frac{-1}{2}$ and use one of the two given points and write the equation in point-slope form:

$(y-1)=\frac{-1}{2}(x-5)$

Distribute $\frac{-1}{2}$ ,

$y-1=\frac{-1}{2} x+\frac{5}{2}$

Step 4 of 4

This linear function can be written in the slope-intercept form by adding 1 on both sides,

$\begin{aligned}&y-1+1=\frac{-1}{2} x+\frac{5}{2}+1 \\&y=\frac{-1}{2} x+\frac{5}{2}+\frac{2}{2} \\&y=\frac{-1}{2} x+\frac{7}{2}\end{aligned}$

So, this is the required linear equation.

8 0

2 years ago

Is this wrong If so please explain why or why not

vovangra [49]

Answer:

2: The perimeter of the base is 37 units.

Step-by-step explanation:

1. A = LW = 21 * 16 = 336 units^2 True

2. P = 2(L + W) = 2(21 + 16) = 2(37) = 74 units False

3. H = 21 units True

4. SA = 2LW + 2H(L + W) = 2(21)(16) + 2(21)(21 + 16) = 2226 units^2 True

3 0

3 years ago

Help me please thank you

Licemer1 [7]

Not sure if it’s A or C because both of them seem to have the same sides and angles, or maybe it’s just the camera quality. I have a feeling it’s C because if I look closely the two triangles on A look a little different size wise but I don’t know.

7 0

3 years ago

What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.

Naddika [18.5K]

<h3>Answer: A) 5 units</h3>

====================================================

Explanation:

The two points given are

C = (x1,y1) = (2,-1)

D = (x2,y2) = (5,3)

Use the distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\$

The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.

6 0

2 years ago

Is the lcm less than both numbers allways never or some times

JulijaS [17]

The lcm has to be equal to or greater than the greater of the two numbers.

7 0

3 years ago