Figure 4 is the image of the square LMNP after the translation.
<u>Step-by-step explanation:</u>
Let us see the coordinates of the pre image LMNP as,
L (-3,1)
M(-1,1)
N(-1,-1)
P(-3,-1)
after translation of (x,y) → (x+5, y -3) the coordinates of the image obtained as,
L'(2,-2)
M'(4,-2)
N'(4,-4)
P'(2,-4) which matches the image 4.
Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

In this problem we have

substitute

Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of 

Chapter : Algebra
Study : Math in Junior high school
x = 7 + √40
find √x of √x + 1
= √x + 1
= √(7+√40) + 1
in Formula is :
= √7+√40 = √x + √y
= (√7+√40)² = (√x + √y)²
= 7+√40 = x + 2√xy + y
= 7 + √40 = x + y + 2√xy
→ 7 = x + y → y = 7 - x ... Equation 1
→ √40 = 2√xy → √40 = 2.2√10 = 4√10
= xy = 10 ... Equation 2
substitution Equation 1 to 2 :
= xy = 10
= x(7-x) = 10
= 7x - x² = 10
= x² - 7x + 10 = 0
= (x - 5)(x - 2) = 0
= x = 5 or x = 2
Subsitution x = 5 and x = 2, to equation 1
#For x = 5
= y = 7 - x
= y = 7 - (5)
= y = 2
#For x = 2
= y = 7 - x
= y = 7 - (2)
= y = 5
and his x and y was find :
#Equation 1 :
= x = 5 and y = 2
#Equation 2 :
= x = 2 and y = 5
So that :
√7+√40 = √x + √y
= √7+√40 = √2 + √5
And that is answer of question :
= √2 + √5 + 1
Answer:
g(-3) = 0
Step-by-step explanation:
hello :
g(-3) = (-3)² + 3(-3) = 9-9 =0