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Gnom [1K]
3 years ago
5

A line with a negative slope is perpendicular to one of the lines shown. What is its slope? Use the graph shown below. The Slope

is:

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

  • The slope for the red line is decreasing and hence the slope must be negative. -1x or simply -x
  • The slope of the blue line is increasing and hence positive: 1/2x
  • The solution to the equation is the intercept (2,3)
  • Rate positively and give brainlist
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GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0
3 years ago
X^2+16x+64 can anyone show the work for this and find the factor.
Alexandra [31]

Answer:

should i simplify it? or factorise it?

<u>I</u><u> </u><u>g</u><u>u</u><u>e</u><u>s</u><u>s</u><u> </u><u>i</u><u>t</u><u>s</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>e</u><u>!</u><u> </u><u>S</u><u>o</u><u> </u><u>i</u><u> </u><u>m</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>i</u><u>n</u><u>g</u><u>!</u>

x^2+16+64

(x)^2+2×x×8+(8)^2

(x+8)^2

=(x+8)(x+8)

8 0
2 years ago
If a= 35 then find b
KengaRu [80]

9514 1404 393

Answer:

  35

Step-by-step explanation:

All of the marked angles subtend the same arc, so all have the same measure.

  a = b = c = d = 35

  b = 35

8 0
3 years ago
Write 0.00052 in scientific notation.
Kamila [148]

10 over the power of negative 4

4 0
3 years ago
Triangle XYZ is rotated 90° counterclockwise about the origin.
sergeinik [125]

Answer:

i think 42

Step-by-step explanation:

4 0
3 years ago
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