Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
<h2>
What are simultaneous equations?</h2>
These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
<h3>Multiply equation (1) by 5 and equation (2) by 8</h3>
40X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
<h3>Subtract equation (4) from (3)</h3>
18Y = 162
<h3>Divide bothsides by 18</h3>
<h3>Substitute y = 9 into equation (3)</h3>
40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
<h3>
</h3>
{-10, 9}
Answer:
<h2><em><u>
A to C = 25
</u></em></h2><h2><em><u>
A to B = 13
</u></em></h2><h2><em><u>
C to B = 37
</u></em></h2><h2><em><u>
</u></em></h2>
Step-by-Step Explanation:
<em><u>Perimeter</u></em> = 75
<em><u>Sides:</u></em>
2x + 3
3x + 4
2x - 9
<h2 /><h2><em><u>
1. Equal the sides added together to the perimeter</u></em></h2>
75 = 2x + 3 + 3x + 4 + 2x - 9
<h2><em><u>
2. Simplify Like terms</u></em></h2>
2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
<h2><em><u>
3. Place the equation back together</u></em></h2>
75 = 7x - 2
<h2><em><u>
4. Isolate the variables and numbers</u></em></h2>
75 = 7x - 2
+2 +2
77 = 7x
<h2><em><u>
5. Simplify the equation</u></em></h2>
77 = 7x
/7 /7
<h2><em><u>
11 = x
</u></em></h2>
<h2><em><u>
6. Substitute the value of x into the side lengths.</u></em></h2>
2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>
3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>
2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>
(-34) + -24
Adding a negative number is the same as subtraction, so you can rewrite the equation as:
(-34) - 24
Now you have -34 minus 24. You can find the answer by adding 34 + 24 then adding a negative sign in front of your answer.
(-34) - 24 = -58
Your answer is 
.
The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.
<h3>How to compute the distance?</h3>
From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The distance will be:
= 160 × cos30°
=160 × 0.866
= 138.56 feet
Learn more about velocity on:
brainly.com/question/1125420
#SPJ1
Answer:
The truck have travelled 345.5 inches after 5 rotations of the tires
Step-by-step explanation:
Given:
Diameter of the tyre= 22 inches
Number of rotations= 5
To find:
Distance travelled after 5 rotations=?
Solution:
We have given with diameter,
So let radius be r
r= 
r=11 inches
The distance covered by one rotation is given by circumference
Circumference =
Substituting the values, we get
Circumference =
Circumference =
Circumference =
Circumference =
Circumference = 69.11
Now for 5 rotation,
Distance travelled = 
Distance travelled = 
Distance travelled =
The truck will travel 345.5 inches.
