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ICE Princess25 [194]
4 years ago
9

X - y = 0 6x + 5y = -22 The lines intersect at (2, 2) (2, -2) (-2, -2)

Mathematics
1 answer:
grandymaker [24]4 years ago
7 0

Alright, lets get started.

Two lines are given.

x - y = 0

and

6x + 5y = -22

If we need to find the intersection point of these two lines, we must solve these two equations and find (x,y) values.

From the first equation,

x - y = 0

Adding y in both sides

x - y + y = 0 + y

x = y

We could put this value in second equation

6x + 5 y = -22

6x + 5 x = -22

11x = -22

Dividing 11 in both sides

\frac{11x}{11}  = -\frac{22}{11}

x = -2

So,

y = x means

y = -2

(x,y) = (-2,-2) : Answer

Hope it will help :)

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Answer:

yes multiply regular by how much more u get.

Step-by-step explanation:

8 0
3 years ago
Suppose that the weight of sweet cherries is normally distributed with mean μ=6 ounces and standard deviation σ=1.4 ounces. What
vazorg [7]

Answer:

The proportion of sweet cherries that weigh less than 5 ounces is 23.88%.

Step-by-step explanation:

We are given that the weight of sweet cherries is normally distributed with mean μ = 6 ounces and standard deviation σ = 1.4 ounces.

Let X = the weight of sweet cherries

SO, X ~ Normal(μ = 6 ounces , σ = 1.4 ounces)

The z-score probability distribution for the normal distribution is given by;

                                     Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 6 ounces

            \sigma = standard deviation = 1.4 ounces

Now, the proportion of sweet cherries that weigh less than 5 ounces is given by = P(X < 5 ounces)

           

         P(X < 5 ounces) = P( \frac{X-\mu}{\sigma} < \frac{5-6}{1.4} ) = P(Z < -0.71) = 1 - P(Z \leq 0.71)

                                                              = 1 - 0.7612 = <u>0.2388</u>

The above probability is calculated by looking at the value of x = 0.71 from the z table which has an area of 0.7612.

8 0
4 years ago
Write an algebraic expression for each word phrase.
nata0808 [166]
<h2><u>5n +7</u></h2>

.... Hope this will help....

5 0
4 years ago
Read 2 more answers
What is the solution to the inequality -3x-42&gt;3
Mrac [35]

Answer:

X<-15

Step-by-step explanation:

-3x-42>3 collect like terms

-3x>3+42

-3x>45 divide both side by -3

X<-15

Hint ; when you divide both side by a negative sign, the sign changes.

5 0
4 years ago
Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

C(-1,1)\to C_1(1,1)

Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

Then triangle translated 4 units to the left to form triangle A’B’C’.

(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

6 0
3 years ago
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