I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!

What is the distance between 3, 5 and -4, 1

USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula $d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }$ .

$(x_{1},y_{1}) =$ coordinates of the first point

$(x_{2},y_{2} ) =$ coordinates of the second point

To solve, plug the appropriate values into the formula.

$d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748$

5 0

3 years ago

Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv

Ulleksa [173]

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

Sum of all angles in the triangle is 180°. Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A = 90°

7 0

1 year ago

Circle O is shown below. the diagram is not drawn to scale. 73°

zepelin [54]

Answer:
53.5

Explanation:
Since triangle AOB is an isosceles triangle (AO = OB), the base angles of the triangle are 53.5. (180-73 = 107, 107/2 = 53.5)

8 0

2 years ago

Read 2 more answers

Today Zack sold twice as many bags of popcorn at the ball game as he sold last Saturday. In the 2 days he sold a total of 96 bag

Alexeev081 [22]

Answer:

$s=32\\t=64$

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Step-by-step explanation:

Start by determining what information the question gives us, and what we need to find.

Given:

Zack sold twice as many bags of popcorn as he sold last Saturday

He sold 96 bags altogether in the 2 days

Find:

s, number of bags he sold last Saturday

t, number of bags he sold today

Equation/System of Equations:

$t=2s$ (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)

$t+s=96$ (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)

Solve:

We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...

$2s+s=96\\3s=96$

Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.

$s=\frac{96}{3}\\s=32$

Substitute 32 in for "s" to solve for "t"...

$t=2s\\t=2(32)\\t=64$

Answer:

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

3 0

2 years ago

Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is th

gtnhenbr [62]

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

$r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}$ (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

$5t=20\\\\t=\frac{20}{5}=4$

(b) The velocity of the particle is the derivative, in time, of the vector position:

$v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}$ (2)

and for t=4 (height = 20):

$v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}$

(c) The vector parametric equation of the tangent line is given by:

$r_t(t)=r_o+vt$ (3)

ro: position of the particle for t=4

$r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}$

Then you replace ro and v in the equation (3):

$r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}$

3 0

3 years ago