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3 years ago

Please could someone help me ?

Mathematics

1 answer:

Marta_Voda [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Sin58 = opp/hyp

Sin58 = CB/14

CB = 14 × sin58°

CB = 11.9cm

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What is the remander of 3 divided by 95

Mrrafil [7]

6 repeating so the answer would be 31.666666..... or round it up 31.666666667

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3 years ago

Input the equation for the following line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.A line tha

harkovskaia [24]

<span>The line x + y = 6 is a line inclined at 45 degrees to the x-axis. Another line passing throughout the origin and parallel to this can only be :
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<span>x + y = 0

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3 years ago

Please answer both questions math

djyliett [7]

Answer:

$3$ and perpendicular

Step-by-step explanation:

It's important to remember that equations of lines are always set up in the format of $y=mx+c$ .

$y$ is the $y$ value, $m$ is the gradient/slope, $x$ is the $x$ value and $c$ is the y-intercept.

Therefore, we must always rearrange our line equations so that $y$ is the subject.

In the first question, we are given the equation $2x+6y=12$ .

We rearrange to make $y$ the subject:

$6y = 12-2x$

Then, we divide both sides by 6 to have the $y$ isolated:

$\frac{6}{6} y = \frac{12}{6} - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x$

To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.

So here, the slope is $-\frac{1}{3}$ .

So, the negative reciprocal of that would be $3$ because we inverse the sign (the negative becomes positive) and the fraction is flipped to create $\frac{3}{1}=3$ .

So, the perpendicular slope is $3$ .

In the second question, we have two equations. They both need to be rearranged to isolate the $y$ .

$4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3$

Look at the slopes of the two equations. If you look carefully, you will see that they are inverse of each other (one is positive and one is negative) and if you imagine $4 = \frac{4}{1}$ , the fraction is flipped.

This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.

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2 years ago

Solve the linear system of equations using addition. Graph the equations to verify your solution. required.

zhenek [66]

<h3>Answer:</h3>

infinite solutions

<h3>Step-by-step explanation:</h3>

Add the two equations.

... (-4x) + (y) = (y +3) +(-4x -3)

Add 4x -y to both sides.

... -4x +y +4x -y = -4x +y +4x -y

... 0 = 0 . . . . . true for all values of x (or y)

Both equations describe the same line.

_____

The graph shows the first equation as a red line. The second equation is shown using a "blue dot" texture, so you can see it overlays the red line.

8 0

4 years ago

4|x+5|=20<br> Thanks for the help

Kipish [7]

4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like: $|x + 5| = 5$
Second, simplify $\frac{20}{4}$ to 5. / Your problem should look like: $|x + 5| = 5$
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. /
Cancel 5 on both sides. / $x = 0$
Fifth, solve -(x + 5) = 5 /
Simplify brackets / $-x - 5 = 5$
Add 5 to both sides / $-x = 5 + 5$
Add 5 + 5 / $-x = 10$
Multiply both sides by -1 / $x = -10$
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: $x = -10, 0$

Answer: x = -10, 0

3 0

3 years ago

Read 2 more answers