Is 15 and 1/2 like term

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6). Find the new vertices. Use the rule (x,y) >>>(x-3,y+5)to tra

Mama L [17]

Answer:

A(-1,9), B(-4,2) and C(0,11)

Step-by-step explanation:

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6).

To translate, we use the rule (x,y) >>>(x-3,y+5)

For Vertex A(2,4),

The new vertex is (2-3, 4+5)=(-1,9)

For Vertex B(-1,-3)

The new vertex is (-1-3,-3+5)=(-4,2)

For Vertex C(3,6)

The new vertex is (3-3,6+5)=(0,11)

After translation of Vertex A, B and C by the given rule, the new points are A(-1,9), B(-4,2) and C(0,11)

8 0

3 years ago

look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe

Nimfa-mama [501]

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

7 0

3 years ago

Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C

netineya [11]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

<span> $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$ </span></span>

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

3 0

3 years ago

What is the distributive property for 9−12x+6y=

Ulleksa [173]

Because there are no parentheses, I'm assuming you're asking for how to factor this using the GCF, which can be done like so:

9−12x+6y

Factor a 3 out of this expression.

3(3 - 4x + 2y)

The expression has been simplified using the distributive property in reverse.

8 0

3 years ago

About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex

enot [183]

Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .$

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.$

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by $\dfrac{2}{3}$ .

8 0

3 years ago