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snow_tiger [21]

4 years ago

6

Is the ordered pair a solution to the system of linear equations? Select Yes or No. Ordered pair: (7, 6) System of equations: -2

x+y=20 6x-5y=12

1 answer:

Lera25 [3.4K]4 years ago

6 0

Put x = 7 and y = 6 to the equations:

-2x + y = 20

L = -2(7) + 6 = -14 + 6 = -7

R = 20

L ≠ R

<h3>Answer: NO.</h3>

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In triangle ABC, the measure of the angles are 2x, x, and 3x respectively. What is the measure of angle B?

Lina20 [59]

Answer:

Step-by-step explanation:

2x, x, and 3x all have to add up to equal 180 by the Triangle Angle-Sum Theorem.

2x + x + 3x = 180 and

6x = 180 so

x = 30

Therefore, angle B is 30.

7 0

3 years ago

1. 5 3/4+("-" 1/4) <br><br>2. "-" 2/3+1/6<br><br>3. "-" 8/5+("-" 3/4)

gregori [183]

Answer:

<h2>BELOW</h2>

Step-by-step explanation:

1.

$5\frac{3}{4} +(-\frac{1}{4} )\\\\5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}\\\\\frac{23}{4} +(-\frac{1}{4} )\\\\=\frac{23}{4}-\frac{1}{4}\\\\=\frac{23-1}{4}\\\\=\frac{22}{4}\\\\=5\frac{1}{2}$

2.

$-\frac{2}{3} +\frac{1}{6} \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=\frac{-3}{6}\\\\=-\frac{3}{6}\\\\=-\frac{1}{2}$

3.

$-\frac{8}{5} +(-\frac{3}{4} )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{32}{20}-\frac{15}{20}\\\\=\frac{-32-15}{20}\\\\=\frac{-47}{20}\\\\=-\frac{47}{20}\\\\=-2\frac{7}{20}$

4 0

3 years ago

Points A, B, and C are collinear and A is between B and C.

Katarina [22]

Answer:

"Process is shown below"

Step-by-step explanation:

Since collinear, they are on the same line. They are positioned as below:

B-----------------------A-------------------C

AB, BC, and AC's expressions are given.

To find BC, first looking at the picture, we can say:

BC = AB + AC

Putting the expressions and solving for x:

7x+5 = 4x - 3 + 5x - 16

7x + 5 = 9x - 19

19 + 5 = 9x - 7x

24 = 2x

x = 12

1. BC = 7x + 5 = 7(12) + 5 = 89

2. AB = 4x - 3 = 4(12) - 3 = 48 - 3 = 45

3. AC = 5x - 16 = 5(12) - 16 = 60 - 16 = 44

Shown

8 0

4 years ago

Find the volume.<br> A. 103 yd<br> B. 54 yd<br> C. 74 yd<br> D. 84 yd

attashe74 [19]

B 54 yd i might not be correct

8 0

3 years ago

Read 2 more answers

What is the equation of the parabola with focus (-1,-1) and directrix y=1?

Inessa05 [86]

Answer:

B

Step-by-step explanation:

Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:

$\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2$

Hence, from the given focus & directrix, we have:

h = -1

k = -1

m = 0

b = 1

<em>We can plug them into the formula and arrange to get:</em>

<em> $\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}$ </em>

<em />

<em>B is the correct answer.</em>

8 0

3 years ago