First open the bracket by multiplying with -2
-2x - 26 +9x = 4
Solving like terms
7x - 26 = 4
Adding 26 to both sides
7x - 26 +26 = 4+26
7x = 30
X = 30/7
The constant term is 15, because x^2 + 8x+ 15 factors to (x + 3)(x +5). Thus, by the zero rule x = -3 and -5.
Answer:
it was good even tho i just woke up....
how was yours?
Answer:
For better understanding of the solution, see the attached figure of the problem :
1). From the diagram, since Yellowsburg is directly north of Blueville therefore AB will be perpendicular to BC and ∠ABC = 90
Now, In ΔABC, using Pythagoras theorem
AC² = AB² + BC²
158² = 141² + BC²
BC² = 158² - 141²
BC² = 5083
⇒ BC = 71.3 miles
Hence, Blueville is 71.3 miles away from Greentown.
2). The basketball court is in shape of rectangle whose dimensions are given by :
Length = 84 feet and Breadth = 50 feet
Since, Each angle of rectangle is 90 hence by using Pythagoras theorem in ΔPQR :
PR² = PQ² + QR²
PR² = 84² + 50²
PR² = 9556
PR = 97.75 feet
Hence, If a coach has her players sprint diagonally across the court, they need to run 97.75 feet
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation: