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Fofino [41]
3 years ago
9

Which numbers are solutions

Mathematics
2 answers:
grin007 [14]3 years ago
7 0

Answer:

A and D

Step-by-step explanation:

Given

x² + 20 = 9x + 2 ( subtract 9x + 2 from both sides )

x² - 9x + 18 = 0 ← in standard form

(x - 3)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 6 = 0 ⇒ x = 6

Tom [10]3 years ago
3 0

Answer:

6 and 3

Step-by-step explanation:

x^2 - 9x + 18 = 0

(x-6)•(x-3)=0

if x-6 = 0 then x = 6

and if x-3= 0 then x = 3

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. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 321
PIT_PIT [208]

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

6 0
3 years ago
What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18?
NemiM [27]
My answer would be to add 3 to both sides
8 0
3 years ago
What isvequivalent to y=23x−6?
RUDIKE [14]

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

y-intercept = -6/1 = -6.00000

3 0
3 years ago
What is the slope of the line in the graph?
Bingel [31]

Answer:

The slope equals the rise divided by the run:

7 0
3 years ago
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