Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y =
x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope
if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 =
x 4 + c
-5 =
+ c
c = -5 + 
c = 
So, the equation of the line is;
y =
x - 
or ;
3y = -2x -7
Answer:
a = 7, b = 
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
a ×
= 7
( divide both sides by
)
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° =
, then
tan60° =
=
=
=
( multiply both sides by b )
b ×
= 7 ( divide both sides by
)
b =
×
= 
Answer:
1437.33
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u><em>Length</em></u>
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
<em><u>hypotenuse length</u></em>
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
<em><u>Width</u></em>
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
<u><em>Area</em></u>
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
Answer:
The best estimate of the solution ordered pair from the graph is
.
Step-by-step explanation:
See the attached graph to this question.
The graph of two straight lines are shown in the graph.
Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.
But, there are two ordered pairs with y-value zero and they are
and
.
The best estimate of the solution ordered pairs from the graph is
.
So, this is the solution. (Answer)