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2 years ago

14

Lin solved a quadratic equation by factoring and found one solution to be x = 3/4. Which of the following expressions could have

been one of her factors?

1 answer:

avanturin [10]2 years ago

7 0

Answer: 4x-3

Step-by-step explanation: When subsituted, the equation should equal 0

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is <em>(-3, -129)</em>

7 0

3 years ago

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc

sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{960-480}{2-1}$

= 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0

2 years ago

Write y-6=-2x in slope intercept form

Vera_Pavlovna [14]

Slope: 2

Y-Intercept: 6

2,6

8 0

3 years ago

Read 2 more answers

What point is on the graph of every direct variation equation

Alexeev081 [22]

Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)

4 0

2 years ago

What is the slope of line p? On a coordinate plane, a straight line goes through (negative 3, negative 2), (0, 0), and (3, 2). I

dlinn [17]

To figure out the slope you would want to use this formula for 2 of the points: Y2-Y1/X2-X1.

if you followed this for (-3,-2) and (3,2), you would get 2-(-2)/3-(-3)

this would equal 4/6, which simplifies to 2/3

the slope of line p = 2/3x

5 0

2 years ago

Read 2 more answers