All categories

3 years ago

What value of b with cause the system to have an infinite number of solutions?

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

You might be interested in

Give work for equations following: -x+2y<-4 2x+3y>6 thanks sooooo much!!!!

Schach [20]

Answer: See below

Step-by-step explanation:

A) $-x+2y < -4$

$-x+2y-2y < -4-2y$

$-x < -4-2y$

Multiply both sides by -1 and reverse the inequality:

$\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)$

$x > 4+2y$

B) $2x+3y > 6$

$2x+3y-3y > 6-3y$

$2x > 6-3y$

$\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}$

$x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}$

3 0

2 years ago

Hey can some one help me, Define a variable and write each phrase as an algebraic expression:

Elena L [17]

Answer:

1. d - 6 ft

where d is the width

2. t + 6 h/week

where t is the amount of time per week Theodore studies

3. t’ - 6 a

where t’ is Tracy’s age

4. (k/3) - 2

where k is the points that the panthers scored

Step-by-step explanation:

Write the variable and do the operations as described!

“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.

8 0

2 years ago

Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0

2 years ago

A given line has the equation 10x + 2y = −2.

Gekata [30.6K]

Y = -5x + 12 since the slope of that line is -5x and in order to pass through that point the y intercept must be 12

7 0

3 years ago

Read 2 more answers

Help I don’t understand

OverLord2011 [107]

Rotation about a point does not change any dimensions. C'D' = CD = 2.8 units.

8 0

3 years ago