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lora16 [44]
3 years ago
12

Help me with it I will give you 20 points ​

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

a^2 +b^2=c^2

Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)

We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2

) is given by m= x 2−x 1

y

2

​

−y

1

​

​

,x

2

​



=x

1

​

Slope of AB i.e.m

1

​

=

3−4

5−4

​

=−1

Slope of BC i.e.m

2

​

=

−1−3

−1−5

​

=

−4

−6

​

=

2

3

​

Slope of CA i.e. m

3

​

=

4+1

4+1

​

=

5

5

​

=1

Clearly, m

1

​

m

3

​

=−1

⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).

Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.

Step-by-step explanation:

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valkas [14]

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

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Solution:

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Putting h=-4, k=-1 and r=2, we get

(x-(-4))^2+(y-(-1))^2=(2)^2

(x+4)^2+(y+1)^2=4

Therefore, the equation of the circle is (x+4)^2+(y+1)^2=4.

6 0
3 years ago
Find the LCD for the following pair of fractions.<br> 1/5<br> and<br> 1/2
Katarina [22]
The LCD would the 10 since that is the lowest multiple that they both have in common.
7 0
2 years ago
Read the sentence: _____ car is that in the parking lot? Which interrogative pronoun best completes the sentence? A.Whose B.Who'
asambeis [7]
The answer to your questioncis B
3 0
3 years ago
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Teresa is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices: co
Sergio [31]

Let x represent the number of miles driven by both individuals.

Now, since COMPANY A will charge Teresa an initial constant fee of $58 and then an additional 40 cents (or $0.4) for every mile driven, we know that:

- if Teresa drives x miles, she will be charged:

0.4\times x\text{ dollars}

Therefore, in total, Teresa will be charged by company A the following:

(58+0.4x)\text{dollars}

Also, since COMPANY B will charge Teresa an initial constant fee of $40 and then an additional 69 cents (or $0.69) for every mile driven, we know that:

- if Teresa drives x miles, she will be charged:

0.69\times x\text{ dollars}

Therefore, in total, Teresa will be charged by company B the following:

(40+0.69x)\text{dollars}

Now, the milieage (x) for which both companies A will charge Teresa no more than company does is obtained by relating the expressions for their separate fees as follows:

(58+0.4x)\text{dollars }\leq(40+0.69x)\text{dollars}

Thus, we simply the above and solve for x, as follows:

58+0.4x\leq40+0.69x

Collect like terms:

\begin{gathered} 0.4x-0.69x\leq40-58 \\ \Rightarrow-0.29x\leq-18 \end{gathered}\begin{gathered} \Rightarrow x\ge\frac{-18}{-0.29}\ge62.07 \\ \Rightarrow x\ge62\text{ miles} \end{gathered}

8 0
1 year ago
Henry is 133 centimeters tall. His height in meters is
ale4655 [162]

Answer:

1.33 meters

Step-by-step explanation:

8 0
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