Given that triangle <span>STU is reflected once to map onto triangle S'T'U'.
Given that triangle STU has vertices S(8, 6), T(2, 2), U(5, 1).

If vertex T' is at (2, −2), this means that triangle STU is refrected across the x-axis.

A refrection across the x-axis results in an image that has the same x-value as the pre-image but a y-value that has the opposite sign of the y-value of the pre image.

Thus, a point, say (x, y), refrected over the x-axis will result in an image with coordinate (x, -y)

Therefore, given that the coordinate of S is (8, 6), then the coordinates of vertex S'</span> is (8, -6).

4 0

3 years ago

Find the center of the circle whose equation is x² + y² = 4.

Varvara68 [4.7K]

Answer:

The center of circle is $(0,0)$

Step-by-step explanation:

We need to find the center of the circle of the equation $x^{2}+y^{2}=4$

Since, the general equation of circle is $(x-h)^{2}+(y-k)^{2} = r^{2}$

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is $x^{2}+y^{2}=4$ as,

$x^{2}+y^{2}=2^{2}$

Compare $x^{2}+y^{2}=2^{2}$ with $(x-h)^{2}+(y-k)^{2} = r^{2}$

so, $(x-0)^{2}+(y-0)^{2} = 2^{2}$

Hence, the center of circle is $(0,0)$

4 0

3 years ago

Read 2 more answers

Help please !!!

slava [35]

C is the best answer choice

8 0

3 years ago

Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P2O5), and potash ( K2O) prese

Grace [21]

Answer:

For Vigoro are needed

2929*35.8479 ≅ 104,988.49 (N)

33*3.4351≅113.35 (A)

44*31.2181≅1373.59 (P)

For Parkera are needed

1818*35.8479≅65,171.48 (N)

2525*3.4351≅8673.62 (A)

66*31.2181≅2060.39 (P)

Step-by-step explanation:

we have that in every 100100 pounds of compound nitrogen (N), phosphoric acid (A) and potash (P) are present and that according to the product brand the concentrations vary, therefore:

For Vigoro

2929 N, 33 A, 44 P

For Parkeras

1818 N, 2525 A, 66 P

Now, we need 170170 N, 8787 A and 3434 P of final product containing the components of the types of fertilizers

You can see that the compounds are the same what changes are the proportions from there that

2929N+1818N=170170 ⇒ 4747N=170170 ⇒ N=170170/4747 ≅ 35.8479

33A+2525A=8787 ⇒ 2558A=8787 ⇒ A=8787/2558 ≅ 3.4351

44P+66P = 3434 ⇒ 110P=3434 ⇒ P=3434/110 ≅ 31.2181

Finally

For Vigoro are needed

2929*35.8479 ≅ 104,988.49 (N)

33*3.4351≅113.35 (A)

44*31.2181≅1373.59 (P)

For Parkera are needed

1818*35.8479≅65,171.48 (N)

2525*3.4351≅8673.62 (A)

66*31.2181≅2060.39 (P)

Note: to verify the data, just replace the values in the equations

6 0

3 years ago