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seropon [69]
3 years ago
10

HELPPPPPP PLEASEEE !

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
(0,6) and (-6,-4)
slope of line = (6 + 4) /(0 + 6) = 10/6 = 5/3

perpendicular lines, slope is opposite and reciprocal
so slope  = -3/5

passing thru (4,-6)
y = mx + b
-6 = -3/5(4) + b
b = 12/5 - 30/5
b =  -18/5
b = - 3.6

passing point on y axis is (0, -3.6)

answer is C.
(0, -3.6)

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Knife is 3 times cost of spoon<br> 9 spoons and 12 knifes is £82.80<br> what is 1 knife
xenn [34]

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

3 0
2 years ago
3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
3 years ago
I am confused on how to get the answer
Ksju [112]

Answer:

try using this

Step-by-step explanation:

multiply  π  which = 3.14 by the diamiter so it would be 3.14 x 6.5 = 20.41

4 0
3 years ago
Read 2 more answers
Find the missing value when given the modulus. <br><br> |48+bi|=50
xxMikexx [17]

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

r=\sqrt{a^2+b^2}

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

\sqrt{48^2+b^2}=50

\Rightarrow 2304+b^2=50^2

\Rightarrow b^2=2500-2304

\Rightarrow b^2=196

\Rightarrow b=\sqrt{196}

\Rightarrow b=14

Therefore, missing value b is 14

4 0
3 years ago
Is negative 1 greater than -1/2
Maurinko [17]

Answer: No, -1 is not greater than -1/2

Step-by-step explanation: -1 is a integer and -1/2 is a fraction so if your question is "Is negative 1 greater than -1/2?" than your answer will be no because -1/2 is a fraction and -1 is a integer. They don't equal.

7 0
3 years ago
Read 2 more answers
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