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3 years ago

If the answer to a maths question is 4,

Mathematics

2 answers:

Westkost [7]3 years ago

7 0

Answer:

John and Mike are correct, Henry is incorrect.

Step-by-step explanation:

Try to find x = 4 for all the equations to find out who is correct.

John:

4x + 4 + 7x = 48

Combine like terms.

11x + 4 = 48

Subtract 4 from both sides.

11x = 44

Divide both sides by 11.

x = 4

John is correct.

Mike:

2x + 3 = 11

Subtract 3 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Mike is correct.

Henry:

8x + 7 = 71

Subtract 7 from both sides.

8x = 64

Divide both sides by 8.

x = 8

Henry is incorrect.

lisabon 2012 [21]3 years ago

7 0

John’s is correct
4x+4+7x=48
11x+4=48
-4 -4
11x=44
x=4

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The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Setler79 [48]

Answer:

x = 5

x = 3

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8

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2 years ago

Can someone help me with this?

NikAS [45]

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2 years ago

The equation x2 - 12x - 60 = -y2 - 4y describes a circle in the coordinate plane. find the radius of the circle and the coordina

34kurt

Answer:

r = 10 , centre = (6, - 2 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )

x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )

x² - 12x + y² + 4y = 60

using the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4

(x - 6)² + (y + 2)² = 100 ← in standard form

with centre = (6, - 2 ) and r = $\sqrt{100}$ = 10

8 0

1 year ago

Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t

amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Rate or speed of Adam = 6 mph
Ten minutes later, Benjamin started to run from city B towards city A
Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

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3 years ago

What equation would you have if your slope is 0 and your y-intercept is 5?

Finger [1]

Answer: Y=5

Step-by-step explanation:

Your line has no slope. It is a horizontal line

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3 years ago