Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
Answer:
144 km
Step-by-step explanation:
1 hour and a half hour = 90 minutes.
In 15 minutes a car travels 24 km
In 1 minute a car travels (24÷15) = 1.6 km
In 90 minutes a car travels (90×1.6)= 144 km
Ans.- 144 km
Answer:
C. 
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,

Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values

<h3>
Answer: A) intersecting</h3>
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Work Shown:
Solve the first equation for y
x+y = ab
y = -x+ab
y = -1x + ab
slope = -1, y intercept = ab
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Solve for y in the second equation
bx - y = a
bx - y - a = 0
bx-a = y
y = bx - a
Slope = b, y intercept = -a
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The first equation has a slope of -1. The second equation has a slope of b.
Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.
Answer:
Length: 15 feet Width: 105 feet
Step-by-step explanation:
set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.
Hope this answered your question!