Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
Answer:
value of sides YZ is 36 cm
Step-by-step explanation:
Similar triangles states that the length of the corresponding sides are in proportion.
Given that: ΔABC is similar to ΔXYZ
then;
Corresponding sides are in proportion i.e
.....[1]
As per the statement:
side AB = 6 cm, side BC =18 cm and side XY = 12 cm.
Substitute these in [1] to solve for side YZ;

or

By cross multiply we have;
cm
Therefore, the value of sides YZ is 36 cm
The cosine of 30° is √3 / 2.
Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.
The cosine of 45° is √2 / 2.
Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C
You would use the distributive property with the negative. So the second x becomes negative, but since the 7 is already negative it becomes positive. Think of it as if you put the two dashes together you can make a plus sign.
Answer:
10
Step-by-step explanation:
Note that
×
= a
Consider the following example
× 
= 10 × 10
= 100 ← the value inside the radical, thus
×
= 10