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olga nikolaevna [1]

3 years ago

6

Point B has coordinates (1,2).The x-coordinate of point A -7 is . The distance between point A and point B is 10 units. What a

re the possible coordinates of point A?

1 answer:

Studentka2010 [4]3 years ago

8 0

Answer:

(-7,-6),(-7,6) are the possible coordinates of A

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

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Evaluate the expression for b = 5 <br><br>4b^2

Alex17521 [72]

Answer: 100

Step-by-step explanation:

Sub in 5 for b in the expression

$4b^2\\4(5)^2$

You must do the exponent first as it comes before multiplication in the order of operations

$4(5)^2\\4(25)$

Now multiply

$4(25)\\100$

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3 years ago

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Answer:

160

Step-by-step explanation:

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Say whether each of these numbers is a fraction, a decimal, or a whole number: ⅗, 18.2, 47!

denpristay [2]

Answer:

Fraction, decimal, whole number

Step-by-step explanation:

if it has a line, it's a fraction. If it has a dot, it's a decimal. If it has none of the above, it's a whole number

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ivanzaharov [21]

Answer:

115<40+15x

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