All categories

3 years ago

Find the length of CD

Mathematics

2 answers:

astraxan [27]3 years ago

8 0

Step-by-step explanation:

$\underline{ \underline{ \text{Given \: points}}} :$

C ( 3 , -2 ) & D ( 7 , -8 )

Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .

$\underline{ \underline{ \text{To \: find}}} :$

Length of CD

$\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}$

⇢ $\tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }$

⇢ $\tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + {( - 6)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + 36}}$

⇢ $\tt{CD = \sqrt{52}}$

⇢ $\tt{CD = 7.2 \: units}$

$\pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

KiRa [710]3 years ago

5 0

Answer: (B)

Explain:

You might be interested in

Please help me now plz

sergey [27]

Answer:

x=12

Step-by-step explanation:

The right side is a right triangle

The base is 1/2 of the bottom or 5

The height is x and the hypotenuse is 13

We can use the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +x^2=13^2

25+x^2 = 169

Subtract 25 from each side

25-25+x^2 = 169-26

x^2 =144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x= 12

4 0

3 years ago

Hi can someone plaese finf the slope of this.

Svet_ta [14]

Answer:

5/2 is the slope

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the inverse. Restrict the domain as necessary.

trasher [3.6K]

The restrictions would be possible x values that could make the function equal 0.

6 0

3 years ago

Read 2 more answers

what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left an

tensa zangetsu [6.8K]

So I’m thinking of this as two triangles. So I would do 16x8/2 which equals 64 and 10x6/2 which equals 30. So my guess is that the area is 94in^2. Hope this helps you out!

3 0

3 years ago

give the equation of a line that goes through the point (-4,-1) and is parallel to the line -3x+5y=-10

Zarrin [17]

Answer:

$y=\frac{3}{5} x+\frac{7}{5}$

Step-by-step explanation:

1) the equation of the given line in the slope-interception form is:

y= 3/5 x -2;

the equation of the required line is

y=slope*x+i;

2) if the required line is parallel to the given one, it means, the value of its slope is the same, it means 3/5;

then the equation of the required line is

y=3/5*x+i;

3) if the point (-4;-1) belongs to the required line, then it is possible to substitute its coordinates into the equiation of the required line

-1= 3/5*(-4)+i;

4) it is possible to calculate the value of 'i':

i=7/5;

5) if slope=3/5, i=7/5, then the required equation of the line in slope-interception form is:

$y=\frac{3}{5} x+\frac{7}{5}.$

3 0

3 years ago