Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer:
452.16 cm³
Step-by-step explanation:
I assume the shape of the volcano is a cone.
V = (1/3)πr²h
r = d/2 = 12 in./2 = 6 in.
V = (1/3)(3.14)(6 in.)²(12 in.)
V = 452.16 in.²
Answer:
42
Step-by-step explanation:
First condense all the numbers with exponents:
3² x 5³x 8 divided by 3 x 5³ x 8
27 x 125 x 8 divided by 3 x 27 x 8
Then multiply 27 , 125 ,and 8
27 x 125 x 8 =27000
Then multiply 3, 27 ,and 8
3 x 27 x 8 = 648
Then divide 27000 by 648
27000 / 648 = 41.6666666667
Which rounds to about: 42
<span>The difference between two positive integer is 4 and the difference between their reciprocal is 1/24. Find both integers by using quadratic equation 3 </span>
1. For similar triangles, the ratio of the corresponding sides is constant.
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
45/75 = 30/ EF
EF = (30×75)/45
= 50 in
2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent
4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)
