S+g=316 "s"=strawberry "g"=grape
g=52+s
plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132
find "g"
g=52+132
g=184
Answer : The correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Step-by-step explanation :
As we know that there are three types of triangle.
(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.
(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.
(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.
Now we have to determine the length DF.
using Pythagoras theorem:






The length DF = 8.06 unit
So, we can say that:
DE + EF > DF
Hence, from the given options we conclude that, the correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Answer:
n²-7n-21
Explanation:
Given the expression:

First, open the brackets:

Next, bring the like terms together and simplify:

Answer:
Diameter: 4km
Radius: 2km (divide diameter by two)
Circumference Formula: c = dπ or c = 2rπ
Circumference Value = 4π or 2(2π)
(the actual answer is 12.56, just do the math)
Step-by-step explanation:
Answer:
f(x-3)= x^2 -11x +24
Step-by-step explanation:
We want to find an equivalent expression for f(x-3)
To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'
Therefore f(x-3)= (x-3)^2 -5*(x-3)
Lets re arrange the expression by grouping terms.
f(x-3)=x^2 - 6x +9 -5x + 15
f(x-3)= x^2 -11x +24