Answer:
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Answer:
(2.x) + (2.7) = 36
Step-by-step explanation:
Solving the given equation with the distributive property,
A(B + C) = (A.B) + (A.C)
So that,
2(x+7) = 36
(2.x) + (2.7) = 36
2x + 14 = 36
2x = 36 - 14
2x = 22
x = 11
From the given expressions, the option that is the correct first step to solving this equation is;
(2.x) + (2.7) = 36
Answer:
Here you go
Step-by-step explanation:
Answer:
Step-by-step explanation:
(a) Any pair of points on the circle that are separated by less than the diameter will define a minor arc. (The minor arc is the shortest arc of the circle between the points.) Possible minor arcs in this diagram are ...
VX, VY, XY
The corresponding major arc is usually named by adding the name of a point between the two endpoints that is not on the minor arc. For the minor arcs above, the corresponding major arcs are ...
VYX, VXY, XVY
Given that part (b) tells us the minor arc of interest is 112°, we assume that arc is the one subtended by the chord: XY.
Then, per the discussion above, the corresponding major arc is XVY.
___
(b) The sum of major and minor arcs is the whole circle, 360°. So, the measure of the major arc is ...
360° -112° = 248°
___
(c) A tangent line intersects a circle at exactly one point. It is perpendicular to a radius to that point of intersection. The tangent line in this diagram is UV.
A secant intersects a circle in two places. The portion of the secant between the points of intersection is called a chord. The secant line UX contains the chord XY.
___
(d) A rule of secants (and chords) is that the product of distances from where the secants (or chords) meet to the two intersection points with the circle is the same. For a tangent line, effectively, the two points of intersection are at the same distance. This means ...
UV·UV = UX·UY
UV² = 9·(9+11) = 180
UV = √180 = √(6²·5)
UV = 6√5 ≈ 13.42
_____
The attached figure is drawn to scale with arc XY being 112°.
Answer:
(a) minor arc: arc VX
major arc: arc VYX
(b) 248 degrees
(c) Tangent: UV
Secant: UY
Step-by-step explanation:
(b) 360 - 112 = 248
(c) UV crosses on the circumference of the circle at exactly one point
UY crosses through the circle at exactly two points
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
Give your answer as a fraction in its simplest form.
The quotient is the number which is generated when we perform division operations on two numbers.
The quotient of 2/5 and 4/5.
The quotient of 2/5 and 4/5 is determined in the following steps given below.
Hence, the quotient of 2/5 and 4/5 is 1/2.
Learn more about quotient here;
#SPJ2
Answer:
Step-by-step explanation:
Answer:
4. is x = 9
but I don't know about 5. sorry.
Step-by-step explanation:
5x + 3 = 48
-3. -3
5x = 45
5. 5
x = 9
5(9) + 3 = 48
48 = 48