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3 years ago

The area of a rectangular garden is 6862 m².

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

The length of the rectangle would be 94m.

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The larger of two numbers is 5 less that twice the smaller if their sum is 70, find the numbers

Vikentia [17]

Let the number be x and 2x-5 from the above given condition

x+2x-5=70

3x=75 s0 x=25

Hence, the number are 25 and 45

6 0

3 years ago

Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2

s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2 = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y = (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t] + [(-1) + 2*t] = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y = (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t = (-1) + 2*15/2 = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0

3 years ago

Write an equation for the graph, where y depends on x.

Over [174]

Answer:

y = -3x + 6

Step-by-step explanation:

Equation of straight line is given by,

y = mx + b

m = slope of the line

b = y-intercept

From the graph attached,

m = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-6}{2}$

= -3

y intercept 'b' = 6

Therefore, equation of the line will be,

y = -3x + 6

5 0

3 years ago

HELP ME WITH 9, 11, 12

mart [117]

Answer:

<u>Question 9</u>

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

8 0

3 years ago

Which graph has a slope of -3?

Basile [38]

Answer:

fourth picture

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers