In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Answer:
3 grams
Step-by-step explanation:
on the left side there is 3 circles and every circle is 3 grams, so there is 9 grams plus 6 squares for 2 grams its 12 . 9+12 =21 and two triangles with x mass
on the right side there is 2 circles , 2×3 = 6, and 3 squares, 3×2 = 6. 6+6=12 +5x
both sides are equal so we have
21+2x=12+5x
21-12=5x-2x
9=3x
x=3
Answer:
The equation of the line would be y + 4 = -1/8(x + 6)
Step-by-step explanation:
To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -5)/(-6 - 2)
m = 1/-8
m = -1/8
Now that we have the slope, we can use that along with one of the points in the base form of point-slope.
y - y1 = m(x - x1)
y + 4 = -1/8(x + 6)
Answer:
Step-by-step explanation:
<em>The question is mixed up with details of another question. See comment for original question</em>
<em />
<u>Given</u>
Solving (a): Solve for time
We have:
Cross multiply
Make t the subject
Solving (b): Solve for distance
We have:
Cross multiply
2d+3
2(8)+3
Multiply 2 and 8
16+3
19
So the answer is 19
