I hope this helps you
Perimeter=23.3+26+15.8+37.6
Perimeter =102.7
Answer:
42.9%
Step-by-step explanation:
-42.857142857142854 is the exact number. Rounded to 42.9% thus b: is the correct answer.
Formula:
[(120 - 210) / 210] × 100% = -0.42857142857142855 × 100% = -42.857142857142854%
Answer:
The value of x is - 3 And The value of y = - 2
Step-by-step explanation:
Given equation as :
3 x - 8 y = 7 ......A
x + 2 y = - 7 ......B
<u>Applying Linear combination method :</u>
A linear combination method in which steps are taken to make both equation coefficient as like terms to get the value of variable .
<u>Step 1 </u>
multiply the equation B with 4
I,e 4 × ( x+ 2 y ) = - 7 × 4
or, 4 x + 8 y = - 28 ......C
<u>Step 2</u>
Arrange equation A and C in column
So , 3 x - 8 y = 7 .
4 x + 8 y = - 28
<u>Step 3</u>
Add Eq 3 with Eq 1
I.e ( 4 x + 8 y ) + ( 3 x - 8 y ) = 7 - 28
Or. ( 4 x + 3 x ) + ( 8 y - 8 y ) = - 21
Or, 7 x + 0 = - 21
∴ x = -
= - 3
Put the value of x in eq A , to get the value of y
So , 3 × ( - 3 ) - 8 y = 7
Or, - 9 - 8 y = 7
Or, 8 y = - 9 - 7 = - 16
∴ y =
= - 2
Hence The value of x is - 3 And The value of y = - 2 Answer
The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:
c² = a² + b²
c² = 2a²
4² = 2a²
a = 2√2
Hope this answers the question.
Answer:
X= 5, -9
Step-by-step explanation:
(X+2)² =49
Expand the bracket,
(X+2) (X+2)= 49
Apply the distributive property;
X(X+2) +2 (X+2) =49
X²+2X+2X+4=49
X²+4X+4=49
Move 49 to the left side of the equation;
X²+4X+4-49=0
X²+4X-45=0
Apply Factorisation method;
Consider the form
a²+bx+c=0
Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;
B =4 and C =45
We can use 9 and -5, this is because ;
9+(-5)=4 and 9*(-5)= 45.
Replace X +4X-45=0 with (X-5) (X+9)=0
Therefore;
X-5=0
X+9=0
Moving to the left side of the equation;
Therefore X= 5 and -9