The difference of the numbers given as -3.3 - (-0.6) is -2.7
<h3>How to subtract the numbers using a number line?</h3>
The difference of the numbers is given as
-3.3 - (-0.6)
Open the brackets, in the above expression
So, we have:
-3.3 - (-0.6) = -3.3 + 0.6
The above expression means that we make a mark on the number line at point 0.6 and then move the points on the number line to the left by 3.3 units.
So, we have the result to be:
-3.3 - (-0.6) = -2.7
This means that the last position on the number line is -2.7
Hence, the value of the difference of the numbers given as -3.3 - (-0.6) is -2.7
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Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Answer: 1.5
Step-by-step explanation:
From the attached graph:
D = (0, 4)
F = (3, 2)
After segment DF was dilated from the origin to create segment D'F'
D' = (0, 6)
F' = (4.5, 3)
Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;
Scale factor = value on dilated coordinate / value on original coordinate
Taking the x-coordinate of F and F':
Scale factor = coordinate 'x' of F' / coordinate 'x' of F
Scale factor = 4.5 / 3 = 1.5
Similarly,
Taking the y-coordinate of F and F':
Scale factor = coordinate 'y' of F' / coordinate 'y' of F
Scale factor = 3 / 2 = 1.5
Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = 
= 
= 
y = x ← equation of proportionality
When x = 40 then
y = × 40 = 48
Answer:
C. y-2 = 4(x+1)
Step-by-step explanation:
