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lorasvet [3.4K]
3 years ago
11

A rectangle on a coordinate plane has vertices Q(-1, 1), R(6, 1), S(6, Negative 8), and T(-1, -8). What are the dimensions of th

e rectangle?
A) The base is 6 and the height is 9.
B) The base is 9 and the height is 6.
C) The base is 7 and the height is 9.
D) The base is 9 and the height is 7.
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0
C. The base is 7 and the height is 9.
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Factor this trinomial completely.
WITCHER [35]

Answer:

Option C. (2x+3)(6x – 5) is the correct answer.

Step-by-step explanation:

Given polynomial(trinomial) is:

12x^2 + 8x - 15

The given trinomial is quadratic. Factorization will be as follows:

Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.

The required factors are 18 and 10

So,

=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)

Hence,

Option C. (2x+3)(6x – 5) is the correct answer.

8 0
3 years ago
What is the slope of the line that passes through the points (-2,5) and (3,-4) in the standard (x,y) coordinate plane
Scorpion4ik [409]

To find the slope between two coordinates, you use the formula:

m = y2 - y1/x2 - x1

If coordinate A is (-2, 5) and coordinate B is (3, -4), then:

y2 = -4

y1 = 5

x2 = 3

x1 = -2

So, just substitute the points into the formula.

m = -4 - 5/3 - (-2)

m = -9/5

The slope of the line is -9/5.

3 0
3 years ago
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

  1. Set up equation:                    m∠C + 45° + 110° = 180°
  2. Combine like terms:              m∠C + 115° = 180°
  3. Isolate unknown:                   m∠C = 25°

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
Ok I don't really know how you would begin to solve this question
ANTONII [103]

Answer:

y = 40.96

Step-by-step explanation:

Given

4 = \frac{y}{10.24} ( multiply both sides by 10.24 to clear the fraction )

4 × 10.24 = y , that is

y = 40.96

7 0
3 years ago
The diagram shows the dimensions of Mr. Green's garden. A bag of fertilizer costs $3 and covers an area of about 50 square feet.
Komok [63]

Answer:

just multiply the numbers

4 0
3 years ago
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