A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of . The other ski slope will pass 3 through points (2,-3) and (s,-5). Find the value of s.

Q: Suppose we have two lines and know only their gradients (slopes). How can we show that these lines…

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Q: The gradient of the line 4y 4 6x is?

A: The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . Gradient of line =…

Q: Find the slope of the curve y =x' – 2x at the point P(2,-2). .3 4

A: Given the equation of the curve,                                           y=14x3 - 2x and the point…

Q: y? = -x + C

A: We will use formula for Slope of line passing through two points to find Gradient(Slope) of line

Q: Find the gradient of perpendicular line to each of the following lines below: a. Gradient of the…

A: Coordinate Geometry Question

Q: If j 1k and line j has slope , then k has slope

A: Given:j⊥k Slope of j =23Slope of k=?Perpendicular slope:m1×m2 =-1

Q: "Let h(x, y) = x² + 3.xy- 6y. What is the amount of the greatest increase of h at the point (3,2)?…

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Q: Slope of the line ar equation: 2x+4y=7 is:

A: The given equation is 2x+4y=7.

Q: Suppose that f(2 + h) – f(2) = 3h² + 5h. Calculate: (a) The slope of the secant line through (2,…

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: A skier travels downhill along two slopes one with gradient -5 and the other with gradient -1/5.…

A: Slope of a line is the measurement of angle made by a line with x axis. If the slope is said to be…

Q: What is the gradient of the following line 3x + y = 2 A E 3 -2 4 G -9 C -3 -4 B.

A: Answer is below

Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: 3y What is the equation of the curve that passes through the point (1, 3) and has a slope of ○ y =…

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Q: A consumer has a monthly income of $100 that he wants to spend on two goods: rugs priced at $10 and…

A: Graphically, a linear function representing the relationship between an independent variable let's…

Q: Find the equation of the line whose gradient is 3/2 and which passes through the point ,where P…

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Q: If the point of intersection of the lines y = 3x + a and y + 2x = b is D(2,5). i) Find the values of…

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Q: The gradient of the line  8y = 4 - 12 is

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Q: What is the gradient of Y = x³ - 3x² + 4, when x = 1?

A: Gradient is the rate of fastest decrease at a particular point. In other words it is the derivative…

Q: What is the gradient of the following line 2y = 4x + 10 A 9. B 3 4 10 C 12 H 2]

A: 2y = 4x+10 Y= 2x+5 So gradient is 2 Option A is correct

Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: 2. Work out the gradient of the line passing through the points (3, 2) and (7, 20).

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Q: FInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P…

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Q: Given that ƒ(1) = 2 and ƒ′(1) = 2, find the slope of the curvey = x ƒ(x) at the point (1, 2)

A: Given:  Given that ƒ(1) = 2 and ƒ′(1) = 2,  y = x ƒ(x) at the point (1, 2)

Q: the gradient of a straight line is 2x+3y=6 the slope (gradient) is what

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Q: Give two distinct linear functions ƒ and g that satisfy ƒ'(x) = g'(x); that is, the lines have equal…

A: It is given that fx and gx two distinct function.

Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y,). At (x,, Y1), slope = At (x2,…

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Q: Suppose it were possible for two lines to be both parallel and perpendicular what would their…

A: Let the two lines be L1 and L2.

Q: Consider the linear function y = ax + b. If x changes at a constant rate, does y change at a…

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Q: What is the slope of the curve at the point (0, 1). x^2+y^2-12x+4y=5

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Q: Find the slope of the curve y =x + 2x^(-1) at point (2, 2). Select the correct response: 1/4 2 3/4…

A: We have to find slope of the given curve.

Q: Estimate the slope of the graph at the points (x1, Y1) and (X2, Y2). At (x1, Y1), slope %3D At (x2,…

A: For slope 1 from the above graph observe the line on x1,y1 which is located so, the observed points…

Q: Find an equation for the linear function g(z) which is perpendicular to the line 7z – 6y = 12 and…

A: Given the equation of a line 7x−6y=12

Q: 2. What is the gradient of a straight line that is perpendicular to the straight line 3x +7y - 14 -…

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Q: The line L passes through the point (-2,1) and is parallel to the line. The gradient, m= 5. Find the…

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Q: The gradient of the line 2y =4 - 3x  is?

A: General form of equation of line is Y=mx+c m=slope=Gradient, C is the intercept on axis Now 2y=4-3x…

Q: Determine whether there exists a constant c such that the line x + cy = -9 Has slope 2: Passes…

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Q: y E

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Q: If A has coordinates (2, 1) and B has coordinates (x, 3), find x so that the slope of AB is – 3.

A: If A has coordinates (2, 1)  and B has coordinates (x, 3). The slope of the line AB is m = -3. To…

Q: find the gradient of the line

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Q: Find the gradient at that point on the curve of y=2x2 - 3x +1where x=1.5. For what value of x will…

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Q: Find the gradient of the line joining the points A(3,4) and B(2,3)

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Q: Find the equation of the line whoes gradient is 3/2 and which passes through the point P,where P…

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Q: Ay

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Q: Find y so that CD has slope m, where: a) C is (2, – 3), D is (4, y), and m b) C is (-1, –-4), D is…

A: Slope(m) of line passing through points x1,y1 and x2,y2 is m=y2-y1x2-x1   ....1

Q: If f(x) = 15x +3, find the slope of the secant line between the values of x1 5 and x2 = 3. %3D

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Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.