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3 years ago

Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer:

$x=\frac{3}{4}=0.75$

Step-by-step explanation:

From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.

In this case, we are given that two opposite sides have lengths of $4x+5$ and $8$ . Therefore, since the quantities must be equal, we can write the following equation to solve for $x$ : $4x+5=8$ . Solving for $x$ , we get:

$4x+5=8$

$4x=3$ (Use the Subtraction Property of Equality to subtract $5$ from both sides of the equation, which isolates $x$ )

$x=\frac{3}{4} =0.75$ (Use the Division Property of Equality to divide both sides of the equation by $4$ to get rid of $x$ 's coefficient)

Hope this helps!

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

What is the slope of the line whose equation is -48 = 2x - 8y?<br> Enter your answer in the box.

aleksandr82 [10.1K]

Answer:

The slope is $\frac{2}{8}$

Step-by-step explanation:

Take the general equation of a straight line $y = mx+c$

Here $m$ is the slope of the line.

So let's get the equation of the line in the question in the same form.

$-48 = 2x-8y$

Add $8y$ to both sides: $8y - 48 = 2x$

Add $48$ to both sides: $8y = 2x + 48$

Divide by $8$ to get it into the general equation: $y = \frac{2}{8} x + 6$

Now compare it to the general equation to find the value of $m$ . The value of $m$ is the coefficient of $x$ which we can see is $\frac{2}{8}$

3 0

3 years ago

Write an equation of the line that passes through (2001, 35) and (2004.5, 16.1 ) points

Allisa [31]

Answer: If you are looking for Slope-Intercept form (y=mx+b), It would be...

y=-5.4x+10840.4.

If you are looking for Point-Slope form, it would be...

y=-5.4x+10840.4.

Step-by-step explanation: Write in Slope-Intercept from, y=mx+b.

Point-Slope form : Use the Point-Slope formula, y-y1=m(x-x1) to find the equation of the line.

I hope this helps you out! ☺

7 0

2 years ago

PLS ANSWER ASAP!!!!! NO LINK

Gnesinka [82]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Place value for 987,164.302

svlad2 [7]

9 is in the hundred thousands place, 8 is in the ten thousands place, 7 is in the thousands place, 1 is in the hundreds place, 6 is in the tens place, 4 is in the ones place.

8 0

3 years ago

Read 2 more answers