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2 years ago

Write an equation of the line that passes through (-4,1) and is perpendicular to the

Mathematics

1 answer:

trasher [3.6K]2 years ago

3 0

Answer:

line1:y=2x+3

Gradient1=2

Let line2 be the line passes through (-4,1)and perpendicular to line1.

Because line2 and line1 are perpendicular, (gradient of line2) (gradient of line1) =-1

Gradient of line2=-1/2

Equation of line2:y-y1 =m(x-x1)

:y-1 =(-1/2)[x-(-4)]

:(y-1)(-2)=(x+4)

:-2y+2 =x+4

:-2y+2-x-4=0

:-x-2y-2 =0

:x+2y+2 =0

*notes:gradient=m

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What's 5 + 5 × 10 - 88 + 200 - 1

Mars2501 [29]

Answer:

=50x+116

Step-by-step explanation:

5+5x(10)−88+200−1

=5+50x+−88+200+−1

Combine Like Terms:

=5+50x+−88+200+−1

=(50x)+(5+−88+200+−1)

=50x+116

8 0

2 years ago

Read 2 more answers

The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th

irakobra [83]

ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

$= \frac{new \: price - old \: price}{old \: price} \times 100\%$

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

$= \frac{2.15 - 2.40}{2.40} \times 100\%$

$= \frac{ - 0.25}{2.40} \times 100\%$

$= - 0. 10416667 \times 100\%$

$= - 10.416667\%$

To the nearest tenth, we have:

$- 10.4\%$

Therefore the percentage decrease is 10.4%.

8 0

2 years ago

River C is 400 miles longer than River D. If the sum of their lengths is 5,590 miles, what is the length of each river?

pychu [463]

Answer:

River C is: 2,965 miles long.

River D is: 2,565 miles long.

Step-by-step explanation:

$C=400+D\\C+D=5530$

Have a great day! ^^

7 0

3 years ago

What is 24.5 as a fraction.

IRINA_888 [86]

24 1/2. 0.5 is equal to 1/2

7 0

2 years ago

4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, &

lianna [129]

I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

Mean; μ = 3.3

Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

z = 0.7

Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

z = 3.7

Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

8 0

3 years ago