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3 years ago

Graph the equations f(x)=-1/9x-3 g(x)=5/9x-9

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Answer:

Graph of equations provided in the attached image.

Step-by-step explanation:

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Marysya12 [62]

16 kg hope this helps

4 0

3 years ago

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example tha

frosja888 [35]

Answer:

False

Step-by-step explanation:

the dot product between two vectors A and B is:

A·B=AB $cos\theta$

where $\theta$ is the angle between the vectors, if they are parallel, this angle is zero. so $\theta=0$

and so the dot product is:

A·B =AB $cos(0)$

and since $cos (0)=1$

the dot product is equal to

A·B=AB

The dot product of parallel vectors is NOT zero

5 0

3 years ago

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

alexira [117]

We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to $180$ degrees.

So,
in this problem
$(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees$

therefore

the answer is
$x=50degrees$

7 0

3 years ago

Read 2 more answers

Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

Type the correct answer in the box,

HACTEHA [7]

We'll assume the quadratic equation has real coefficients

Answer:

The other solution is x=1-8i.

Step-by-step explanation:

The Complex Conjugate Root Theorem

if P(x) is a polynomial in x with real coefficients, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).

The question does not specify if the quadratic equation has real coefficients, but we will assume that.

Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.

3 0

3 years ago