<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer:
<h2>width = 6 feet</h2>
Step-by-step explanation:
let l be the length of the rectangle
let w be the width of the rectangle
The statement
The length of a rectangle is 6 feet more than three times the width of the
rectangle is written as
l = 6 + 3w
From the question
l = 24 feet
Substitute the value into the above formula and solve for the width
That's
24 = 6 + 3w
3w = 24 - 6
3w = 18
Divide both sides by 3
w = 6
Therefore
<h3>width = 6 feet</h3>
Hope this helps you
The linear function equation is 
Further explanation:
The formula for slope of line can be expressed as,
Explanation:
The line intersect 
-axis at 
Therefore, the -intercept is -4.
The line passes through the points 
and 
.
The slope can be obtained as follows,
The slope of the line is 
The slope intercept form of the linear equation is given as follows.
Substitute 
for m and -4 for k in equation 
The linear function equation is
Learn more:
- If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
- Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters?
brainly.com/question/1446243.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.
To solve this problem we can use the rule of 3 and solve for x. Let's equate it as the following:
28.52/x=36.8/100
Why did I represent it like that?
In the first numerator we have the known quantity (28.52). In the second numerator we'll need the percentage that 28.52 represents (because the second fraction will represent percents). This will be 36.8%
The first denominator is x (the number we want to figure out). That number represents 100%. Hence the 100 as the second denominator.
To solve for x we need to do the following:
x=(28.52*100)/ 36.8
x=2852/36.8
x=77.5
Answer: 28.52 is 36.8% of 77.5
