Answer:
y= -1/2x
Step-by-step explanation:
Equation of the line is always in the form y=mx + c
where c is the y-intercept ( where the graph crosses the y-axis) and m is the gradient.
The straight line passes through the origin which are the points (0,0) hence
gradient= change in y÷ change in x
G= -2-0 ÷ 4-0 =-2÷4= -1/2x
y= 1/2x+c
-2=-1/2(4)+c
-2=-2+c
-2+2=c
c=0
∴ the equation of the line is y=-1/2x
The equation of the line passing through the origin and the point A(4,-2) is y = -0.5x.
In Mathematics, the equation of the line can be found using the point-slope form which is y = mx + c, where 'm' is the slope of the line and 'c' is the y-intercept. Since the line passes through the origin O(0,0), the y-intercept 'c' is 0. The slope 'm' of the line is found by the formula 'change in y/change in x'. Given the point A(4,-2), the change in y (the difference in the y-values of your two points) is -2 - 0 = -2, and the change in x (the difference in the x-values of your two points) is 4 - 0 = 4. Therefore, the slope 'm' is -2/4 = -0.5.
Substitute 'm' and 'c' values in the equation y = mx + c, we get the equation of the line OA as y = -0.5x.
#SPJ2
b- x = −5 and x = 5
c- x = −4 and x = 4
d- x = −1 and x = 9
Answer:
9.9inches
Step-by-step explanation:
From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry
From trigonometry, Sin(x)= opposite/Hypotenuse
Sin(65)=X/10.9
X= Sin(65) ×10.9
X=0.9063×10.9
=9.8688
Hence the third side of the triangle is approximately 9.9inches
CHECK THE ATTACHMENT FOR THE TRIANGLE
Answer:
- 8n + 9
Step-by-step explanation:
A - B
= - 3n + 2 - (5n - 7) ← distribute by - 1
= - 3n + 2 - 5n + 7 ← collect like terms
= - 8n + 9 → or 9 - 8n
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
To calculate 12 x 15 using friendlier numbers, break down 15 into 10 and 5, multiply these by 12 to get 120 and 60 respectively, then add these together to get 180.
To calculate 12 x 15 using friendlier numbers, you can break either 12 or 15 down into numbers that are easier to multiply and then combine those results. Here, we'll break down 15 into 10 and 5, which are friendlier numbers.
So, 12 x 15 = 180 using friendlier numbers.
#SPJ3
Answer:
c
Step-by-step explanation:
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