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levacccp [35]
3 years ago
11

I need help with this(explain). what is the value of the expression 2x^2 + 3xy - 4y^2 when x=2 and y= -4 ​

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer: The answer is -80

Step-by-step explanation:

2(2^2)+(3)(2)(−4)−4(−4)^2

2(2^2)+(3)(2)(−4)−4(−4)^2

=−80

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = \frac{y_2-y_1}{x_2-x_1}

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

3 0
3 years ago
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
lisov135 [29]
<span>So the question is what does the point (-3, -5) correspond to on the graph of the function. If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate. So if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5. So it must be true that y=f(-3)=-5. So the correct answer is a. f(-3)=-5.</span>
6 0
3 years ago
Read 2 more answers
An island has some portion submerged in water. Point A on the island is at negative 7 over 3 feet from the surface of the sea. P
sashaice [31]

Answer:

1/6feet

Step-by-step explanation:

Given

Point A on the island = -7/3 feet from the sea surface

Point B on the island = -5/2 from the sea surface

The distance between the two points will be Point A - Point B

Distance between the two points = -7/3 - (-5/2)

= -7/3+5/2

Find the LCM

= {2(-7)+3(5)}/6

= -14+15/6

= 1/6

Hence the distance of the two points from the surface of the sea is 1/6feet

3 0
3 years ago
Read 2 more answers
Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o
alekssr [168]
Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8

Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.

4 0
3 years ago
Carmen drove
Aleonysh [2.5K]
522 divide 9= 58           58=1hour   58 x 4=232 add 232 to 522 =754
7 0
3 years ago
Read 2 more answers
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