<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2x%2B5%7D%20%20-4%3D3" id="TexFormula1" title="\sqrt{2x+5} -4=3" alt="\sqrt{2x+5}

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forsale [732]

3 years ago

-4=3" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

$x = 22$

Step-by-step explanation:

Step 1: Add 4 to both sides

$\sqrt{2x + 5}-4+4=3+4$

$\sqrt{2x+5}=7$

Step 2: Square both sides

$(\sqrt{2x+5})^2 = 7^2$

$2x+5 = 49\\$

Step 3: Subtract 5 from both sides

$2x + 5 - 5 = 49 - 5\\$

$2x = 44$

Step 4: Divide both sides by 2

$2x / 2 = 44 / 2\\$

$x = 22$

Answer: $x = 22$

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Find the distance, c, between (0,0) and (-4,-3) on the coordinate plane. Round to the nearest tenth if necessary.

taurus [48]

Answer:

Step-by-step explanation:

To solve the equation you'll use the distance formula:

$\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substitute the equation with (0,0) being $x_{1}$ , $y_{1}$ and (-4,-3) $x_{2},y_{2}$

$\sqrt{\left(0+4\right)^{2}+\left(-3+0\right)^{2}}$

if you solve this you'll get 5

7 0

2 years ago

I need help! Please help! SOS

miss Akunina [59]

Answer:

a) 94 degrees lower

b) -17 degrees

Step-by-step explanation:

you should draw a number line to visualize what i'm saying..

basically any number that has a greater value but is negative is obviously lower than a smaller negative value

for example: take -563 that is a lot less than -31 because its farther down the number line

okay to find the answer to question a) you need to obviously find the difference between -29 and 65 to do that you need to count the space in between -29 and 65 on a number line.

There's actually a much easier method just use your common sense and some math: so you can say the distance from 0 to 65 is … 65 and the distance from -29 to 0 is 29 so to find the total distance you add them up and you get your answer! (94)

for b) its even easier you just take the number -29 and add 12 from it to get closer to 0 so to do that you need to subtract 12 to get a smaller number but bigger value on the number line (if you draw this one out it will make sense). And the answer is... -17! I hope this made sense :)

3 0

3 years ago

1. For AEFG shown below, construct the median from E to side FG. Leave all construction marks.

lakkis [162]

Answer:

Step-by-step explanation:

A median bisects the side it intersects with, so the first step is to bisect FG.

Set the compass slightly larger than half of FG.

Put the point on F and draw a half circle that intersects FG and faces G.

Put the point on G and draw a half circle that intersects FG and faces F.

Draw a line through the intersections of the two half circles, and the intersection of that line with FG is FG's midpoint.

Connect the midpoint with E, and the connecting line is the median.

8 0

3 years ago

List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

3 years ago

Please help, im super behind :(((

Verdich [7]

Answer:

the first one is a function! there are no repeated x values in a function

8 0

3 years ago