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Alchen [17]
3 years ago
13

State whether the following statements are True or False:

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

a) False

b) True

c) True

d) False

Step-by-step explanation:

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A line passes through the points (1.4) and (2, 2). What is the equation of this line?
emmasim [6.3K]

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \frac{2-4}{2-1} = \frac{-2}{1} = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0
3 years ago
Read 2 more answers
David made fruit punch for his party but accidentally tripped and spilled 5/12 of the punch. How much of the punch was left?
Radda [10]
7/12 of the punch was left; 12-5=7
4 0
3 years ago
Read 2 more answers
ANSWER ME PLZ THANKS
nignag [31]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
Tpy6a [65]

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

4 0
3 years ago
What is the volume of a square pyramid with base edges of 60 inches and a height of 10 inches?
vichka [17]

Answer:

The volume is 12000 in^3

Step-by-step explanation:

From the question ,

L= 60\:in. and H=10\:in.

The volume of a pyramid is given as

V=\frac{1}{3} \times area\:of\:the\:base \times height

From the question, the base of the pyramid is a square.

Hence base area is given by L^{2}

This implies that the volume of the pyramid is

=\frac{1}{3} \times L^{2}\times H

=\frac{1}{3}\times 60^{2} \times 10

=\frac{36000}{3}

=12000 in^3

6 0
3 years ago
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