Working out the expression 7(3ˣ) is first to calculate the value of 3ˣ then multiply the answer to 7.
For example, let x = 2
Then 7(3ˣ) = 7(3²) = 7 × 9 = 63
With the same value of x = 2, calculating 21ˣ = 21² = 441, which isn't the same answer with the expression 7(3ˣ)
3 4
—- = —-
x 5
cross multiply 3 and 5 = 15
and 4 and x = 4x
you get 15=4x
x= 15/4
You divide then you square root the answer. once you get the answer you squate root again giving you 1.2
Answer:
12.4
Step-by-step explanation:
The distance between (7,21) and (-5,18)
d =sqrt( (-5-7)^2 + (18-21)^2)
= sqrt(( -12)^2 + (-3)^2)
= sqrt(144+9)
= sqrt(153)
=12.36931688
To the nearest tenth
12.4
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
