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sasho [114]
3 years ago
13

A,b & c form a triangle where BAC =90 degrees AB=7.5 mm BC=16.7mm find the length of AC giving your answer rounded to 1DP

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

18.3mm

Step-by-step explanation:

using pythagoras

AC = \sqrt{7.5^{2} + 16.7^{2}  }

AC = 18.3 mm

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
-BARSIC- [3]
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
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NO LINKS!!! Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)​
levacccp [35]

General equation of parabola

  • y=a(x-h)²+k

for vertex(h,k)

Now

\\ \rm\Rrightarrow y=a(x+2)^2+6

  • Put (1,-3) and find a

\\ \rm\Rrightarrow -3=a(1+2)^2+6

\\ \rm\Rrightarrow -9=a(3)^2

\\ \rm\Rrightarrow -9=9a

\\ \rm\Rrightarrow a=-1

So

equation of parabola

\\ \rm\Rrightarrow y=-(x+2)^2+6

7 0
2 years ago
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Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres
Nataly [62]

Answer:

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of c units up, the translation is given as:

(x,y)\rightarrow (x,y+c)

For shift of k units right, the translation is given as:

(x,y)\rightarrow (x+k,y)

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

So, co-ordinates of point A after translation is given by :

(-3,4)\rightarrow (-3+1,4+2)=(-2,6)

After the translation, the coordinates of vertex A is (-2,6).

4 0
4 years ago
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