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3 years ago

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.

1 answer:

6 0

Answer: y = (1/2)x - 1

Explanation:

Point slope form:
(y1 - y) = m(x1 - x)
(1 - y) = 1/2(4 - x)
1 - y = 2 - (1/2)x
-y = (-1/2)x + 2 - 1
-y = (-1/2)x + 1
y = (1/2)x - 1

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T(z)= sin^2(z/4), {-3 ≤ z ≤ 8}

Usimov [2.4K]

Answer:

T´(z)=n^2s/4*i

Step-by-step explanation:

T(z)=d/dz(sin^2*z/4)

T´(z)=d/dz(sn^2zi/4)

T´(z)=d/dz(sn^2z/4*i)

T´(z)i*d/dz(sn^2z/4)

T´(z)=n^2s/4*i

Simplify

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3 years ago

Andrew wants to lay new turf in his garage.Andrews garden is a rectangle measuring 3m by 4m,New turf cost 12.50pr m2.

Mrac [35]

Answer:

$150

Step-by-step explanation:

The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150

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2 years ago

SOMEONE HELP PLEASE! I will mark Brainlist and 5 star :)

baherus [9]

So the scale used was

<h2>1 inch = 6 feet ANSWER = A</h2>

Step-by-step explanation:

Given;

Length of library on drawing = 13 inches

Actual length of library = 78 feet

In order to find the scale we divide the actual length by the length of library on drawing.

So, scale = 1 inch = 6 feet

Keywords: Scale, Maps

3 0

3 years ago

Read 2 more answers

Does anyone know the answer to these two problems?

Nady [450]

Answer:

8) -8, -9

9) 4, $\frac{1}{2}$

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $x$ such that the polynomial becomes zero. $i.e., y = 0$ .

We use the following formula to determine the solutions of a quadratic equation of the form: $ax^2 + bx + c = 0$

$\implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, $a = 1; b = 12; c = 27$

Substituting in the formula, we have:

$x = \frac{-12 \pm \sqrt{144 - 108}}{2}$

$\implies x = \frac{-12 \pm 6}{2}$

Taking 2 common outside we get:

$x = - 6 \pm 3$

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)}$

$\implies x = \frac{9 \pm 7}{4}$

The values of x = 4, $\frac{1}{2}$ .

Hence, the answer.

8 0

4 years ago

Find the sum.<br> 2x<br> x2 - 6x + 9 + x2 + 2x - 15

galina1969 [7]

Answer:

$\large\boxed{x^2-6x+9+x^2+2x-15=2x^2-4x-6}$

Step-by-step explanation:

$x^2-6x+9+x^2+2x-15\qquad\text{combine like terms}\\\\=(x^2+x^2)+(-6x+2x)+(9-15)\\\\=2x^2-4x-6$

5 0

3 years ago

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.​

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.