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Dmitrij [34]
3 years ago
12

Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)

Mathematics
1 answer:
madreJ [45]3 years ago
4 0
Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
18-9=c
9=c

the equation is 2x+3y=9
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Order from greatest to least<br> 5 1/2, 5.05, 5 5/9<br> 37/10, 3 2/5, 3 1/4<br> 5/7, 5/6, 5/12
bonufazy [111]
3 2/8, 5/7, 5/6 5/12

Greatest to least: 5 5/9, 5 1/2, 5.05, 37/10, 3 4/10, 3 1/4, 5/6, 5/7, 5/12.
7 0
3 years ago
The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

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:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

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

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

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.

8 0
3 years ago
I need help it due today
Alisiya [41]

Answer:

1st box: Asso. prop= m+(4+x)

2nd box: Comm. Prop= m+4=4+m

3rd box: iden. prop= m+0=m

4th box: Zero prop: m x 0=0

4 0
3 years ago
Does arithmetic sequence demonstrate common difference or common ratio
makkiz [27]
Arithmetic sequences have a common difference (addition)
geometric sequences have a common ratio (multiplication)
4 0
3 years ago
843 to the nearest 100
Ray Of Light [21]
It is 800 because the 4 can not tell the what to do so that it is
3 0
3 years ago
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