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3 years ago

What are the coordinates of the point on the directed line segment from (–9, -7) to

Mathematics

1 answer:

pentagon [3]3 years ago

4 0

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: $\frac{bx_1+ax_2}{a+b}$ and

y coordinate: $\frac{by_1+ay_2}{a+b}$

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

$\frac{4(-9)+3(-2)}{7}$ which simplifies down to -6, and

the y coordinate of the directed point is

$\frac{4(-7)+3(7)}{7}$ which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

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Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por

Irina18 [472]

Answer:

Sarah have $\frac{5}{4}$ bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = $\frac{1}{4}$

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = $\frac{1}{4}\times 5$ = $\frac{5}{4}$

Hence, Sarah have $\frac{5}{4}$ bottle of water.

5 0

3 years ago

Which ordered pair is a solution of the inequality? 3y-6<12x

BartSMP [9]

The answer is 3. (4, -2)

7 0

3 years ago

Solve the system of equations using the substitution method.

Karolina [17]

Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)

Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
4x + 5(3x+9) = 7

Expand.
4x + 15x + 45 = 7

Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
19x = -38

Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2

Now we solved x already, we can just substitute x= - 2 back to equation (2).

y = 3(-2) + 9
y = - 6 + 9
y = 3

So, the answers are
x = - 2
y = 3

3 0

3 years ago

PLEASE HELP!! I WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!!))What is the volume of this cylinder?

Aleksandr-060686 [28]

Answer:

V = 6079.04 ft³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then

V = 3.14 × 11² × 16

= 3.14 × 121 × 16

≈ 6079.04 ft³ ( to the nearest hundredth )

6 0

2 years ago

The two figures are congruent find the measure of the requested side or angle

antiseptic1488 [7]

You have not provided the figures, therefore, I cannot provide an exact answer.
However, I can helps you with the steps.

One important thing to note is that when writing statements of congruency, the order of writing the letters is very important. This is because each side/angle in the first figure would be congruent to the corresponding side/angle in the second.

Therefore, all you have to do in the above question is write the congruent figures and determine the corresponding congruent sides/angles

Example:
If we are given that triangle ABC is congruent to triangle DEF
This means that:
AB = DE
BC = EF
AC = DF
angle A = angle D
angle B = angle E
angle C = angle F

Hope this helps :)

4 0

3 years ago