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alexira [117]
3 years ago
11

We just started learning this and I still don’t understand it!?help!

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

  • x = 4
  • RS = 25
  • ST = 11

Step-by-step explanation:

  • RT = RS + ST
  • RT = 36
<h3>Part A</h3>
  • 6x + 1 + x + 7 = 36
  • 7x + 8 = 36
  • 7x = 28
  • x = 4
<h3>Part B</h3>
  • RS = 6x + 1 = 6*4 + 1 = 25
  • ST = x + 7 = 4 + 7 = 11
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Find the slope of the line that passes through (40,3000) and (60, 4000).
iragen [17]

Answer:

m=50

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (40, 3000)

Point (60, 4000)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{4000-3000}{60-40}
  2. Subtract:                       m=\frac{1000}{20}
  3. Divide:                          m=50
3 0
3 years ago
Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

3 0
3 years ago
Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1
yaroslaw [1]

Answer:

A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.

Step-by-step explanation:

The relative frequencies given are at most 0.02 apart.  This means they are reasonably close.

The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.

However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.

Since the relative frequencies are reasonably close, the number cube is likely to be fair.

6 0
4 years ago
Read 2 more answers
A student who studies the sizes of groups of birds records data for this group of ducks. Which two terms describe the type of da
Vesnalui [34]

Answer:

quantative and continous

3 0
3 years ago
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Find BC.<br> Round to the nearest tenth.<br> C<br> 12<br> A<br> 87°<br> 9<br> B
Dmitrij [34]

Answer:

C-10

A-90

B-10

Step-by-step explanation:

For rounding off to nearest tens, we compare the last digit.

5 0
1 year ago
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