Answer:
The line would be y = 6/5x + 26/5
Step-by-step explanation:
To find the equation, we first need to find the slope. We can do this by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (8 - -4)/(4 - -6)
m = 12/10
m = 6/5
Now that we have the slope, we can use that and either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 8 = 6/5(x - 4)
y - 8 = 6/5x - 24/5
y = 6/5x + 26/5
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
Answer:
13
Step-by-step explanation:
3 + 5 + 5 = 13
that is the answer
Answer:
∠ABD ≅ ∠DBC - Given.
∠ABD and ∠DBC are complimentary angles - Given.
∠ABD + ∠DBC = 90° - Definition of complimentary angles.
∠ABD + ∠DBC = ∠ABC - Angle addition postulate.
∠ABC = 90° - Substitution property.
∠ABC is a right angle - Definition of a right angle.
~Hope this helps!~
Answer:
22.36 feet
Step-by-step explanation:
This situation forms a right triangle, where the wire is the hypotenuse
Use the pythagorean theorem to find the hypotenuse/wire length:
a² + b² = c²
20² + 12² = c²
400 + 144 = c²
544 = c²
22.36 = c
So, the wire is 22.36 feet long