Answer:
a = 3
Step-by-step explanation:
f(x) = a(bˣ)
At x = 0
f(0) = a(b⁰)
f(0) = a(1)
f(0) = a
From the graph
f(0) = 3
Therefor
a = 3
{x | x R, x < -7}
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < 7}
Answer:
A. {x | x R, x < -7}
Step-by-step explanation:
The value of x will be;
⇒ x = 4
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The expression is,
⇒ 12 : 15 = x : 5
Now,
Since, The expression is,
⇒ 12 : 15 = x : 5
Hence, Solve for x as;
⇒ 12 / 15 = x / 5
⇒ 12 × 5 / 15 = x
⇒ x = 12 / 3
⇒ x = 4
Thus, The value of x = 4
Learn more about the proportion visit:
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Answer:
To find the area of the polygon with the given vertices A(-5, 0), B(0, 10), and C(15, 0), you can use the formula for the area of a triangle when you have the coordinates of its vertices. The formula is:
Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
In this case, A(-5, 0), B(0, 10), and C(15, 0), so you can plug in these coordinates into the formula:
Area = 1/2 * |-5(10 - 0) + 0(0 - 0) + 15(0 - 10)|
Simplify the expression inside the absolute value:
Area = 1/2 * |-50 + 0 - 150|
Now, continue simplifying:
Area = 1/2 * |-200|
Since we're taking the absolute value, it becomes:
Area = 1/2 * 200
Now, calculate the area:
Area = 100 square units
So, the area of the polygon is 100 square units.
You can also use the distance formula, but this way is faster to me :-p
A.
All squares are rhombuses.
B.
All rectangles are parallelograms.
C.
All rhombuses are trapezoids.
D.
All 4-sided shapes have at least one pair of parallel sides.