<h3>1.</h3>
The equation in point-slope form: y - y₁ = m(x - x₁)
slope: m = -2
point: (4, -5) ⇒ x₁ = 4, y₁ = -5
Therefore, the equation of the line in point-slope form:
<h3>
y + 5 = -2(x - 4)</h3>
<h3>2.</h3>
The equation in slope-intercept form: y = mx + b
Parallel lines has the same slope, so:
y = 4x + 2 ⇒ a = 4
If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.
(4, 6) ⇒ x₁ = 4, y₁ = 6
So: 6 = 4·4 + b ⇒ b = -10
Therefore the equation:
<h3>
y = 4x - 10</h3>
<h3>3.</h3>
a = 3
(-1, 1) ⇒ x₁ = -1, y₁ = 1
So: 1 = 3·(-1) + b ⇒ b = 4
The equation:
<h3>
y = 3x + 4</h3>
<h3>4. </h3>
The product of slopes of perpendicular lines is -1.
2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇
-²/₇×m = -1 ⇒ m = ⁷/₂
(0, -4) ⇒ x₁ = 0, y₁ = -4
-4 = ⁷/₂·0 + b ⇒ b = -4
The equation:
<h3>
y = ⁷/₂x - 4</h3>
Answer:
length=8 , wide=5
Step-by-step explanation:
Let length=x and wide=y
convert the question into two equations
3+y=x .......1
xy=40 .......2
so we need to substitute x into y or y into x
x=3+y ,
(3+y)y=40
y²+3y=40
y²+3y-40=0
from that use calculator or manually factorise it
(y+8)(y-5)=0
y= –8 , y=5
we need to choose positive answer so y=5
then find for x
5x=40
x=8
Answer:
The figures M and N have the same volume; Kindly rate
Step-by-step explanation:
The volume of an object is calculated as; base area*height. Base area is sometimes referred to as the area of cross section. Thus, for two figures to have equal volumes they must have same base areas as well as same height. Only M and N fit this criteria
10:40 am.
9:30 plus 1 hour = 10:30 plus ten minutes= 10:40
