The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.
In order to find this, we'll start with the base form of point-slope form.
y - y1 = m(x - x1) ----> Plug in the numbers
y - 8 = 4(x - -6) ----> Simplify
y - 8 = 4(x + 6)
Now to find slope intercept form, solve for y.
y - 8 = 4(x + 6) ----> distribute the 4
y - 8 = 4x + 24 -----> add 8 to both sides
y = 4x + 32
Answer:
Angle A must be acute.
Explanation:
Both angle A and C must be acute. The sum of the angles in a triangle is 180°.
An obtuse angle is more than 90°, so the sum of the remaining 2 angles has to be less than 90°.
Note that it is impossible to have:
<span>2 right angles in a triangle, because <span>90°+90°=180</span>° and the third angle still needs to be added.1 obtuse and 1 right angle in a triangle, their sum is more than 180°2 obtuse angles in a triangle, their sum is more than 180°</span>
It is possible to have an obtuse-angled isosceles triangle, but the vertex angle must be obtuse and the equal base angles will be acute.
Answer:
18 miles per hour is an outlier
the outlier decreases the mean speed
Step-by-step explanation:
the low number of 18 is way different from the other numbers being in the 30's and 40's
this 18 will bring the mean of all the numbers own because it is a smaller number.
Answer:
81 in²
Step-by-step explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²
