The width would be 28 hope I could help.
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Answer:
Step-by-step explanation:
Segment BD is a leg of the right triangles. It is congruent to itself (whether or not it is marked). Angles A and C are <em>corresponding</em> acute angles in the right triangles. They are marked as congruent to each other.
The triangles are congruent by the LA theorem, applicable to right triangles. The congruency statement can be written as ...
ΔBDA ≅ ΔBDC
Answer:
y = 4
Step-by-step explanation:
Given that y varies jointly with x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 16 when x = 4 and z = , that is
16 = k × 4 × = 2k ( divide both sides by 2 )
8 = k
y = 8xz ← equation of variation
When x = 2 and z = , then
y = 8 × 2 × = 16 × = 4
The points on the graph of the parabola other than the vertex and x-intercepts where the equation of the parabola is given as t(x) = -x^2 + 4x - 3 are (10, -63) and (5, -8)
<h3>How to determine the points on the graph of the parabola other than the vertex and x-intercepts?</h3>
The equation of the parabola is given as:
t(x) = -x^2 + 4x - 3
The vertex of the parabola is the point where the graph is at the maximum or the minimum
While the x-intercept is the point where the graph crosses the x-axis i.e when y = 0
Having said that, we have the equation of the parabola to be
t(x) = -x^2 + 4x - 3
Set x = 5.
So, we have:
t(5) = -5^2 + 4 * 5 - 3
Evaluate the exponents
t(5) = -25 + 4 * 5 - 3
Evaluate the products
t(5) = -25 + 20 - 3
Evaluate the sum and the difference
t(5) = -8
Set x = 10.
So, we have:
t(10) = -10^2 + 4 * 10 - 3
Evaluate the exponents
t(10) = -100 + 4 * 10 - 3
Evaluate the products
t(10) = -100 + 40 - 3
Evaluate the sum and the difference
t(10) = -63
Hence, the points on the graph of the parabola other than the vertex and x-intercepts where the equation of the parabola is given as t(x) = -x^2 + 4x - 3 are (10, -63) and (5, -8)
Read more about parabola at:
brainly.com/question/4061870
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Let's solve for b.
2b−7x=3(b−3)
Step 1: Add -3b to both sides.
2b−7x+−3b=3b−9+−3b
−b−7x=−9
Step 2: Add 7x to both sides.
−b−7x+7x=−9+7x
−b=7x−9
Step 3: Divide both sides by -1.
−b
−1
=
7x−9
−1
b=−7x+9
Answer:
b=−7x+9