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Charra [1.4K]
2 years ago
13

The Pythagorean theorem applies to triangles obtuse right acute

Mathematics
2 answers:
ira [324]2 years ago
4 0

Answer:

Right triangles

Step-by-step explanation:

yawa3891 [41]2 years ago
4 0

Answer:

Right Triangles

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Thee vertex of a parabola is (-5,2), and its focus is (-1,2). What is the standard form of the parabola?​
Alla [95]

Check the picture below.  So the parabola looks more or less like so.

\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5

6 0
3 years ago
Read 2 more answers
Please help me with these, find the missing side. Thank yu only if you know
abruzzese [7]

Answer:

7.48m (3s.f.)

Step-by-step explanation:

Let the missing side be x m.

Applying Pythagoras' Theorem,

x² +5²= 9²

x² +25= 81

x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

x²= 56

x =  \sqrt{56}

x = 2 \sqrt{14}

x= 7.48 (3 s.f.)

∴ The missing side is 7.48 m (3s.f.)

8 0
3 years ago
PLEASE ANSWER FAST!!!
8090 [49]

Answer:

There isnt a graph to see

6 0
3 years ago
Solve the system of equations.<br> y= 3x +5<br> y= 8x +3
Lady bird [3.3K]

Answer:

y=6.2 and x=0.4 or (0.4,6.2)

Step-by-step explanation:

Since both expressions are equal to y, we can set them equal to each other and solve for x:

3x+5=8x+3

5=5x+3

2=5x

2/5=x

0.4=x

Now to solve y:

y=8(2/5)+3

y=16/5+3

y=3.2+3

y=6.2

Check answers:

6.2=3(0.4)+5

6.2=1.2+5

6.2=6.2

6.2=8(0.4)+3

6.2=3.2+3

6.2=6.2

Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair

5 0
3 years ago
Read 2 more answers
A certificate of deposit has an annual simple interest rate of 5.25%. If $567 in interest is earned over a 6 year period, how mu
Scrat [10]
Find the the amount of interest per year. Since $567 were earned over 6 years, you divide the interest earned by the number of years it took to accumulate it:

$567/6 years = $94.5/year

Divide that by the interest rate which the interest rate needs to be in decimal form:

$94.5/.0525 = $1800
4 0
3 years ago
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