All categories

3 years ago

Consider the following system of equations:

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

Line $y=-2x+3$ intersects line $y=x-5$

Step-by-step explanation:

We are given that

$y=-2x+3$

$y=x-5$

Subtract one equation from other then we get

$-3x+8=0$

$3x=8$

$x=\frac{8}{3}$

Substitute the value of x in first equation then we get

$y=-2(\frac{8}{3})+3=-\frac{16}{3}+3=-\frac{-7}{3}$

Hence, the solution $(\frac{8}{3},-\frac{7}{3})$ is the intersection point of two line equations .

Answer:Line $y=-2x+3$ intersects line $y=x-5$

You might be interested in

PLEASE HELP ME

olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

The value of x:

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

$\angle A+\angle C=180^{\circ}$

Substituting the values, we have,

$2x+3+2x+1=180$

$4x+4=180$

$4x=176$

$x=44$

Thus, the value of x is 44.

Measure of ∠A:

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

Measure of ∠C :

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

Measure of ∠D :

Substituting $x=44$ in ∠D = (x - 10)°, we get,

$\angle D=(44-10)^{\circ}$

$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0

3 years ago

What is 9 3/4 as a percentage

Genrish500 [490]

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

5 0

3 years ago

A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c

Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let X = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, p = 0.50.

The total number of questions is, n = 10.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.50.

The probability mass function of X is:

$P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...$

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of X.

Consider the probability distribution attached below.

The value of x for which P (X ≤ x) is at least 0.95 is, x = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0

3 years ago

The functions f(x) = –(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. Is the ve

maria [59]

You determine whether the parabola opens upward, with a positive x^2. It opens downward with a negative x^2.
f(x) is a maximum
g(x) is a minimum

4 0

3 years ago

First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6|

SVETLANKA909090 [29]

Answer:

yes

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers