Answer:
7.36 cm²
Step-by-step explanation:
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
The formula for the area of a triangle is given as:
1/2 × Base × Height
Base = 3.2 cm
Height = 4.6 cm
Hence,
Area of the triangle = 1/2 × 3.2 × 4.6
= 7.36 cm²
Answer:
a=90° (given)
b=180°-90°-59° (angles on a straight line)
c=180°-59° (angles on a straight line)
d=59° (vertically opposite angles)
Step-by-step explanation:
I said the answer already
Step-by-step explanation:
I'll do 2.
Alright,Alex let say we have factored a quadratic into two binomial, for example

If we set both of those equal to zero

We can used the zero product property in this case to find the roots of the quadratic equation.
This means that

This means we set each binomal equal to zero to find it root.






So our roots are negative 3/5 and negative 2/3 using zero product property
Step-by-step explanation:
Let the height above which the ball is released be H
This problem can be tackled using geometric progression.
The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is
To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H
a=2H..........r=3/4
However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H
Therefore the total distance travel up to the Nth bounce is
For N=3 one obtains
D=3.625H
Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>
Step-by-step explanation:
We know

for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15