<span>when the altitude is </span>drawn from the vertex of the right angle<span> of a right triangle to its hypotenuse, the altitude equals the product</span> of the two segments of the hypotenuse<span>.
(w+9)</span>²=8*18=144
w+9=12 or w+9=-12
w=3 (discard the negative number)
use the same method, z=√(9*11)=3√11
next, you can use the Pythagorean theorem to find x and y.
x=√(9²+99)=√180=6√5
y=√(11²+99)=√220=2√55
Withdrawals are when cash is taken out from the account
Flora withdraws an amount of $75 at a time from her bank account
she makes 7 such withdrawals
one withdrawal she takes out - $75
then seven withdrawals leads to - $75 x 7 = $525
then overall change in her account has been a net withdrawal of $525
so the overall change in the account is -$525
Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Step-by-step explanation:
1 is wrong, because if it says the sum of 5 times the number m and 12 that means its 5(m+12)=27
because its the sum and then 5 times that
2. You got the right answer, its five times x squared plus 2 is 22
Answer:
Seven-thirds
Step-by-step explanation:
The give equation is 
.
The leading coefficient is 9
The constant term is 7
According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.
Base on this theorem, 
or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.
