Answer:
72km
Step-by-step explanation:
alex : tomos : annabelle = 2 : 3 : 4
if tomos drove 24km
tomos ratio is 3
so 3 --> 24
<em>1 --> 8 </em>
<u>total ratios --> 2 + 3 + 4 = 9</u>
so total journey is 9 --> 9 * 8 = 72km
The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then

Putting the values

Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
15.

16. 10 ml of 20% saline and 40 ml of 10% saline
Step-by-step explanation:
A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes
x + y ml that is 50 ml, so

There are
ml of salt in x ml of 20% saline and
ml of salt in 10% saline. There are
ml of salt in 50 ml of 12% saline. Thus,

15. We get the system of two equations:

16. Solve this system. From the first equation:

Substitute it into the second equation:

In this proble, we are asked to determine the roots of the quadratic equation x^2 + 11 x = -24. The standard form is x^2 + 11 x + 24 = 0. the second term is the negative sum of the roots and the third terms is the equal to the product of the roots.Hence the roots should be -3 and -8.
Answer:
It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.
Therefore
236 - 124 = 112
Tanget-tanget angle = 112 / 2 = 56 degrees