Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
In 565656 years Daniel will be 555 times as old as he's right now how old is he right now
Let x be his current age.
"In 565656 years" can be represented by the expression x+565656.
"Will be 555 times as old as he's right now" can be represented bas the expression 555x.
The whole question means that the age of Daniel in 565656 years will be 555 times his age now so x+565656 = 555x.
Solving this equation will find x, so his current age.
x+565656 = 555x
You subtract an x of each side, to have variables on a side, and numbers on an other:
565656 = 555x - x
565656 = 554x
You divide each side by 554
x = 1021.
So Daniel is currently 1021 years old.
150÷5=30
30x7=210
210x1=210
210x2=420
210x3=630
The answer is 3 days
Answer:
y= -1/5x - 10
Step-by-step explanation: the line has the form: y=ax+b
the line goes through (-5,-9) --> -5a+b=-9
the line is perpendicular to y=5x+15 --> 5a=-1 --> a=-1/5
therefore (-5). (-1/5) + b = -9 --> b=10
trust me I'm Asian
Answer:
(- 2, 1 ) and (1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 5 → (1)
- x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by adding x to both sides
y = x + 3 → (3)
Substitute y = x + 3 into (1)
x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Substitute these values into (3) for corresponding values of y
x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )
x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )
