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3 years ago

Consider lines An and CD

Mathematics

1 answer:

vichka [17]3 years ago

5 0

Answer:

slope of AB = 2

slope CD = 2

Step-by-step explanation:

the equation of a line is y = ax+ b where a is the slope, b is the y-intercept

let us take yB - yA

→ yB - yA = axB + b - axA - b

→ yB - yA = a(xB - xA)

→ a = (yB - yA) / (xB = xA) = (6 - 2) / (-5 - (-7)) = 2

same goes for line CD

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Clint's salary increased from $24000 to $36000 over a three-year period. Helen's salary increased from $29000 to $43, 500 ov

lesya [120]

Answer:

Helen's salary increased more.

Step-by-step explanation:

We know that Clint's salary increased from $24000 to $36000 over a three-year period.

So the increase in Clint's salary will be = 36000 - 24000 = $12000

While Helen's salary increased from $29000 to $43, 500 over the same period of 3 years.

So the increase in Helen's salary will be = 43500 - 29000 = $14500

Therefore, in absolute terms, Helen's salary has increased more.

8 0

3 years ago

The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec

igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 $m^{2}$

From there

x * (2x - 4) = 70

$2x^{2}$ - 4x = 70

$2x^{2}$ - 4x - 70 = 0

$x^{2}$ - 2x - 35 = 0

Now we have a quadratic equation, which is a $x^{2}$ + bx + c = 0, where a $\neq$ 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = $-2^{2}$ - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are $\frac{- b - \sqrt{D} }{2a}$ and $\frac{- b + \sqrt{D} }{2a}$

$x_{1}$ = $\frac{- (-2) - \sqrt{144} }{2}$ = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

$x_{2}$ = $\frac{- (-2) + \sqrt{144} }{2}$ = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0

3 years ago

Can someone answer this

attashe74 [19]

Answer:

Step-by-step explanation:

axis: x= 2

vertex: (2,3)

6 0

3 years ago

Blank plus 1/2 equals 8/10

Eduardwww [97]

Answer:

8/5

Step-by-step explanation:

Hope This Helps;)

8 0

3 years ago

HELPPPP please

Nady [450]

Answer:

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

7 0

3 years ago