(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J i
s at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ
HG
GJ
HI
IJ
2 answers:
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Answer:
Expression:
Value of the expression when :
Step-by-step explanation:
Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by . Twice a number would mean
, and 6 more than that would just be
.
We'll then plug in 5 for to get the value of the expressinn:
Answer: (a) y = -3x + 10
<u>Step-by-step explanation:</u>
The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.
Step 1: Find the slope of OB using the formula:
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)
Step 2: Find the slope of CD (opposite and reciprocal of OB)
Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)
(x₁, y₁) = (3, 1) because it is the point the line will pass through
y - 1 = -3(x - 3)
y - 1 = -3x + 9 <em>distributed -3 into (x - 3)</em>
y = -3x + 10 <em>added 1 to both sides</em>
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The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0
y = -3x + 10
0 = -3x + 10
-10 = -3x subtracted 10 from both sides
<em>divided both sides by -3</em>