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Irina-Kira [14]
3 years ago
15

what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0
Y=9-x is slope-intercept form of that line, which means it has a slope of -1. Parallel lines have the same slope, so the slope of this new line will also be -1.

To find the line that goes through (5,1), we can use a blank equation y=mx+b. We know that m=-1, so we can use the given point to find b:

y=mx+b
Y=-x+b
1=-5+b
6=b

So the line would be y=-x+6.
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The total cost for two family cars was $71,1482 the cost of one car was $38,295 write an equation using a variable to represent
Harrizon [31]

Your 71,1482 doesn't make sense. But regardless,

let x = the other car's cost.

You know the total spent and the cost of one car. So logically, if you subtract the two you'd get the price of the second car.

You can do $38,295 + c = $71,1482.

Or $71,1482 - $38,295 = c.

7 0
3 years ago
Help me solve this i need serious help for test ​
olga_2 [115]
Answer for B would be box 8
4 0
2 years ago
Express 10/4 as a mixed fraction ​
mars1129 [50]
The answer is (2 1/2) but without the brackets
7 0
1 year ago
Read 2 more answers
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

5 0
2 years ago
Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
2 years ago
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