The slope is 6 because x/y or rise/run and in x equal +1 which is positive 1 and y equal +6 which is positive 6... then you divide y by x which will be 6 divided 1 or 6/1 and that’s how it’s 6 :)

7 0

3 years ago

PLEASE HELP ASAP!!! Evaluate 7p + 6(p ÷ q)^2 - 2q (if p = 6 and q = 3). Show your work and explain each step.

Arturiano [62]

Answer:

$60$

Step-by-step explanation:

Evaluate 7p + 6(p ÷ q)^2 - 2q (if p = 6 and q = 3)

$7p + 6(p \div q)^2 - 2q\\\\7(6) + 6(6 \div 3)^2 - 2(3)\\\\7(6) + 6(2)^2 - 2(3)\\\\7(6) + 6(4) - 2(3)\\\\42 + 24 - 6\\\\66-6\\\\60$

Hope this helps!

4 0

3 years ago

An architectural firm wants to replicate a nearby estate with some changes. The new estate will be larger than the original by a

Oduvanchick [21]

Answer:

Option B.

Step-by-step explanation:

It is given that the new estate will be larger than the original by a scale factor of 1:10.

A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.

Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.

Let $x$ be the length of the legs of the triangle for the larger estate.

The hypotenuse of larger estate = 10 × 10 = 100

Using Pythagoras triangle,

$perpendicular^2+base^2=hypotenuse^2$

$x^2+x^2=(100)^2$

$2x^2=10000$

Divide both sides by 2.

$x^2=5000$

Taking square root on both sides.

$x=\sqrt{5000}$

$x=70.71\text{ meters}$

Hence, the correct option is B.

8 0

4 years ago