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Natalka [10]
4 years ago
12

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y= x/3−1

?
Mathematics
1 answer:
Alex_Xolod [135]4 years ago
6 0
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b

Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14

Finally, put in everything we've found to finish the equation.
y= -3x+14
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Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and −3i. Which of the following numbers must also be
Leviafan [203]

Answer is D (−3, 5 + 3i, and 3i)

4 0
3 years ago
The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the sur
S_A_V [24]

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}

\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm

Now,

\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}

Hence, surface area of pyramid = 4406832 square cm.


5 0
3 years ago
Eliminate the parameter.<br><br><br>x = 5t, y = t + 8 (2 points)
maxonik [38]

Answer: y = \frac{1}{5}x + 8

Step-by-step explanation:

       This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

     Given:

x = 5t

    Divide both sides of the equation by 5:

t = \frac{1}{5}x

     -

    Given:

y = t + 8

    Plug in:

y = (\frac{1}{5}x) + 8

    Answer:

y = \frac{1}{5}x + 8

8 0
2 years ago
Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test ha
uranmaximum [27]

Answer:

Samantha got 85 questions right.

Step-by-step explanation:

90% of 50 is 45.

80% of 50 is 40.

40 + 45 = 85

:)

4 0
3 years ago
Read 2 more answers
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E
borishaifa [10]

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°

3 0
3 years ago
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