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inn [45]
3 years ago
13

Choose all that are correct given the equation (equation: y=1/4x+9)

Mathematics
1 answer:
NISA [10]3 years ago
4 0
Options a, b, and d are all correct.
I just substituted the x values into a calculator and checked if the y value was equal as well
You might be interested in
Determine the sum of the first 9 terms in the geometric series where r = -0.25 and a1 = 256
Yuri [45]
The answer would ve B. -204.8 the sum
4 0
3 years ago
Read 2 more answers
The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees
Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0
3 years ago
Please help me with this problem
oksian1 [2.3K]

Diagonal = SQRT(8^2 + 12^2 + 30^2)

Diagonal = SQRT(64 + 144 + 900)

Diagonal = SQRT(1108)

Diagonal = 33.3 feet

5 0
3 years ago
PLEASE HELP!<br>Calculate $40^{13} \pmod{85}.$
SVEN [57.7K]
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005;       64000-64,005=-5

this means that 

40^{3} =-5\pmod{85}

thus

40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}


Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10
7 0
3 years ago
3. Simplify. *<br> 5m3 + 2m– 7m3 – 8m
Oksanka [162]

Step-by-step explanation:

5m³ + 2m - 7m³ - 8m

= -2m³ -6m

= -2m(m² + 3)

4 0
2 years ago
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