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LenaWriter [7]
3 years ago
14

Find an equation of the line in the form axplus byequals

Mathematics
1 answer:
agasfer [191]3 years ago
7 0
The equation is ax+by=c
HOPE THIS HELP
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the length of a rectangle is five feet less than its width. If the area of the rectangle is 84 square feet, find its dimensions
KIM [24]
Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft

6 0
3 years ago
For questions 8 – 10, answer the questions about tangent-tangent angles.
olchik [2.2K]

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = \frac{1}{2}(\text{Difference of intercepted arcs})

                                                   = \frac{1}{2}(220-140)

                                                   = \frac{1}{2}(80)

                                                   = 40°

9). Following the same rule as above,

Angle formed between two tangents = \frac{1}{2}(\text{Difference of intercepted arcs})

125 = \frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]

250 = [m(\text{arc ZWY})-m(\text{arc ZY})]

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = \frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])

                          = \frac{1}{2}(254-106)

                          = \frac{148}{2}

                          = 74°

4 0
3 years ago
Tamisha ordered 4 pepperoni pizzas and 2 sausage pizzas for $60.50. Megan ordered 2 pepperoni pizzas and 3 sausage pizzas for $4
Ahat [919]
Answer: Look at picture

8 0
3 years ago
The answers to the proof
Karolina [17]
Great work! But please show more of the picture
8 0
3 years ago
Apply the distributive property to create an equivalent expression. 1/2 ( 10 x + 20 y + 10 z )=
Sergio [31]

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

6 0
3 years ago
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