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Akimi4 [234]
3 years ago
10

Which of the graphs below represents the equation 4x+y=7?

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
Graphs number 2 or c
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If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Verizon [17]

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

3 0
3 years ago
Read 2 more answers
½ x - 12 = 9<br> please help im not smart
frosja888 [35]

Answer:

42

Step-by-step explanation:

I'm pretty sure that this is the answer.

4 0
3 years ago
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains
AnnyKZ [126]
I set up fractions based on quarter hours. I hope this helps.

8 0
3 years ago
A cyclist rides in a circle with speed 5 m/s. What is his centripetal
Anna71 [15]

Option A

The centripetal acceleration is 1.32 ms^{-2}

<em><u>Solution:</u></em>

From given question,

A cyclist rides in a circle with speed 5 m/s

The circle has a radius of 19 m

To find: Centripetal acceleration

<em><u>The formula for Centripetal acceleration is given as:</u></em>

a_c = \frac{v^2}{r}

Where,

a_c = centripetal acceleration

r is the radius and v is the velocity

From given statement,

radius = r = 19 m

velocity = v = 5 m/s

<em><u>Substituting the values in above formula, we get</u></em>

a_c = \frac{5^2}{19}\\\\a_c = \frac{25}{19}\\\\a_c = 1.315 \approx 1.32

Thus centripetal acceleration is 1.32 ms^{-2}

6 0
3 years ago
The distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
jek_recluse [69]

Answer:

1.25in/25mi = x/75mi

25x = 93.75

x = 3.75

<u>3.75 inches</u>

5 0
3 years ago
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