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4 years ago

Factor each expression 8 + 16

Mathematics

1 answer:

pantera1 [17]4 years ago

7 0

8 and 6 are both factors

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Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D. A) (0, 1) B) (1, 2) C) (2,

kupik [55]

In a parallelogram opposite sides are equal and parallel;
Therefore, in this case, AB is equal and parallel to CD, thus, the magnitude of AB is equal to the magnitude of CD
The line BC is equal to line AD and the two lines are parallel to y-axis;
Since; AB = B - A = (0,4) - (-3,2)= (2,3)
Assuming the coordinates of D is (x,y) DC= (4-y), (3-x) = (2,3)
Hence; y = 2 and x = 0
Thus; the coordinates of D are (0,2)

7 0

4 years ago

Read 2 more answers

△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

$(2\sqrt{17})^2=(x)^2+(x+6)^2$

$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

6 0

3 years ago

3.629 rounded to the nearest tenth?

Nastasia [14]

Answer: Hello, 6

Therefore, the tenths value of 3.629 remains 6. The following table contains starting numbers close to 3.629 rounded to the nearest 10th.

...

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3/5 of the students in mrs. Hanson class have dogs.

tamaranim1 [39]

1/5 of the class you multiply the fractions and simplify it

8 0

4 years ago

Which graph represents the function on the interval [−3, 3] ?

ozzi

Floor(0) -3 = -3 . . . . . only the left-side graphs have this point

floor(0.1) -3 = -3 . . . . only the lower-left graph has this point.

The lower-left selection is appropriate.

7 0

3 years ago