The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point 
is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Answer:
398 ft²
Step-by-step explanation:
Assuming you have correctly described the total area in terms of non-overlapping triangles and a rectangle, you can put the dimensions into the appropriate area formula and add up the pieces.
Triangle area = 1/2·bh
Rectangle area = bh
___
So, the <em>first triangle</em> has an area of ...
1/2·(20 ft)(20 ft) = 200 ft²
The <em>second triangle</em> has an area of ...
1/2·(6 ft)(6 ft) = 18 ft²
The <em>rectangle</em> has an area of ...
(30 ft)(6 ft) = 180 ft²
And the area total is ...
200 ft² +18 ft² +180 ft² = 398 ft²
Answer:
4x2 − 3x = 0
Factorization:
x(4x − 3) = 0
Solutions based on factorization:
x = 0 ⇒ x1 = 0
4x − 3 = 0 ⇒ x2 = 34 = 0.75
hope this helps if wrong sorry
Step-by-step explanation:
She can make 12 pizzas because 24 divided by 8 is 3. And if u multiply 3 by the number of packages (4) you will get 12
