Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
Answer:
2560 stones
Step-by-step explanation:
Jason has 2057 stones
Paul's stones = Jason + 503
= 2057 + 503 = 2560
Answer:
<h2>y - 6 = 2(x - 7)</h2>
Step-by-step explanation:
The point-slope of an equation of a line:

m - slope
The formula of a slope:

We have the poinys (-1, -10) and (5, 2). Substitute:

Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:

In the question we have y - 6 = ...
Therefore
<em>subtract 4 from both sides</em>
<em>use the distributive property</em>

<em>distributive</em>

You'll need 7.6 gallons of gas... all you do is divide 190 by 25 and get 7.6 as your answer
Answer:
1, 3, 9, 27
Step-by-step explanation:
1 times 27 = 27
3 times 9 = 27
9 times 3 = 27
27 times 1 = 27
hope this helps!!!