Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
Step-by-step explanation:
3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3
Plug x = 3 in (2):
2(3) + y = 5
6 + y = 5
y = 5-6
y = -1
Thus, x = 3 and y = -1
Answer:
to square a number you multiply the number by itself.
a positive number times a positive number is a positive number.
a negative number times a negative number is a negative number.
and if you are multiplying 2 numbers with the same sign they will always be a positive number.
Answer:
0.75 is the answer
Step-by-step explanation:
6/8 is equivalent to 3/4
3 divided by 4 is 0.75
Since 6/8 is equivalent then it is also 0.75
Also 6/8 turn to 3/4 when both the numerator and denominator is divided by 2.
6 divided by 2 is 3
8 divided by 2 is 4