Answer:
9
Step-by-step explanation:
let the number
=
x
then 4 times the number
=
4
x
and 4 times the number increased by 15
=
4
x
+
15
also 6 times the number
=
6
x
and 3 less than 6 times the number
=
6
x
−
3
equating the two expressions gives the equation
4
x
+
15
=
6
x
−
3
←
solve for x
subtract 6x from both sides
4
x
−
6
x
+
15
=
6
x
−
6
x
−
3
⇒
−
2
x
+
15
=
−
3
subtract 15 from both sides
−
2
x
+
15
−
15
=
−
3
−
15
⇒
−
2
x
=
−
18
divide both sides by
−
2
−
2
x
−
2
=
−
18
−
2
⇒
x
=
9
As a check
(
4
×
9
)
+
15
=
36
+
15
=
51
(
6
×
9
)
−
3
=
54
−
3
=
51
⇒
the number is 9
Answer:
Undefined
Step-by-step explanation:
the equation for slope is y2-y1/x2-x1
(-2-6)/(-7-(7))= -8/0
This would leave you with an undefined slope.
Answer:
Step-by-step explanation:
18/60-12/60= 4 miles
just my guess
Answer:
y=20x75 is the answer
Step-by-step explanation:
You can basically eliminate other two choices since they are division
I graphed the vertices and got a triangle but its very hard to solve its perimeter. Therefore, I identified right triangles to help me solve for the perimeter making each side the hypotenuse of each right triangle.
Pythagorean Theorem: a² + b² = c²
a = short leg ; b = long leg ; c = hypotenuse
P(0,0) ; R(-3,4)
a = 3 ; b = 4 ;
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c
P(0,0) ; Q(8,6)
a = 6 ; b = 8
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = √c²
10 = c
Q(8,6) ; R(-3,4)
a = 2 ; b = 11
2² + 11² = c²
4 + 121 = c²
125 = c²
√125 = √c²
11.18 = c
Perimeter = 5 + 10 + 11.18 = 26.18
