Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
1:5 simplifies
Step-by-step explanation:
2 are red 10 are black. so it would be 2/10 or 2:10 (both means the same) however if you simplified it, it will be 1:5
Answer:
Step-by-step explanation:
Cross multiply!
1. 1 / 6 * 11 / 12
2. 1*12 = 11*6
3. 12 = 66
4. 66/12
Decimal form: 5.5
Fraction form: 5 1/2
Improper Fraction: 11/2
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
<h3>What is the logic leading to the above result?</h3>
QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
<h3>What is a quadrilateral?</h3>
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Learn more about Quadrilateral at;
brainly.com/question/23935806
#SPJ1
Full Question:
See the attached image for missing details.
