Step-by-step explanation:
Hey there!
Given;
Midpoint is (-1,3) and one endppint is; A(4,-1).
Let the coordinates of C be (x,y).
<u>Use</u><u> </u><u>the</u><u> </u><u>midpoint</u><u> </u><u>formula</u><u>.</u>
<u>
</u>
<u>Put</u><u> </u><u>all values</u><u>. </u>
<u>
</u>
Since, they are equal, equating with their corresponding elements we get,

<u>Simplify</u><u> </u><u>it</u><u>. </u>
<u>
</u>
<u>
</u>
<u>Again</u><u>,</u>
<u>
</u>
<u>Simplify</u><u> </u><u>it</u><u>. </u>
<u>
</u>
<u>
</u>
<u>Therefore the</u><u> </u><u>another</u><u> </u><u>endpoint is</u><u> </u><u>C</u><u>(</u><u>-6</u><u>,</u><u>7</u><u>)</u><u>.</u>
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer: 0.07
Step-by-step explanation:
in the group, we can have only 4 persons.
we have 8 boys, and 6 girls.
We want to find the probability that in the comite we have only boys.
Ok, for the first selection, the probability of selecting a boy is equal to the number of boys divided the total number of the group ( 8 + 6 = 14) this is
p1 = 8/14.
For the second selection we do the same, but we already slected a boy, so now the number of boys is 7, and the total number of posibilities is 13.
p2 = 7/13.
for the third selection we do the same, in this case the probability is
p3 = 6/12
for the fourth selection the probability will be:
p4 = 5/11
The joint probability, of all the events happening at the same time, is equal to the product of the singular probabilities:
P = p1*p2*p3*p4 = (8/14)*(7/13)*(6/12)*(5/11) = 0.07
Answer:
A) 3cm and 1.75cm
Step-by-step explanation:
To determine whether or not these are proportional, take the two side lengths that are given and create a ratio. 6cm:3.5cm. I suggest writing this in fraction form to better see the equivalency. If you divide both 6cm and 3.5 cm by 2, you create an equivalent ratio of 3 cm:1.75cm. This is answer A. There is another correct answer too! If you take 6cm:3.5cm and multiple both by 1.5, it will create an equivalent ratio of 9cm:5.25 cm (answer choice E), just in a different order.
Answer:
D
Step-by-step explanation:
to show the general direction of the graph, we should find the end points and one in the middle, lets see what happens why x is -4, 0, and 4. when x=-4, it is 16*-3/4 (which is negetive), when x is 0, y is 0, and when x is 4, the same this happens in the first number. If these points are plotted, it is shown as a parabola pointing downwards. The max is will be is 0. because before 0, the numbers are negetive in the y axis, and after they are negetive in the y axis, and it tops out at y=0 when x=0. Therefore Y is smaller than or equal to 0, or D.
Reflection over the y-axis, translation 2 units down