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katen-ka-za [31]
3 years ago
10

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

Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

y=6x+b -2x+1/2y=-3. O -6. O -3. O 3. O

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What is the equation of a line with a x-intercept of −2 and a y-intercept of 10?
IceJOKER [234]

Hey there! :)

Answer:

y = 5x + 10

Step-by-step explanation:

From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the points:

m= \frac{10 - 0}{0 - (-2)}

Simplify:

m= \frac{10}{2}

m = 5.

The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:

y = 5x + 10 is the equation written in slope-intercept form.

8 0
3 years ago
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Quadrilateral RSTU is a parallelogram. What must be the value of x?
Luba_88 [7]
I set x-3 and 3x-13 equal to each other and then got x equal to 5. So, I believe the correct answer would be C.) 5
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3 years ago
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Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) A.) Sin(D)= 24/7 B.) Tan(D)= 24/25
Tanya [424]

Answer:

Cos E= 24/25

Step-by-step explanation:

Length of hypotenuse: 7^2+24^2=625. 625 square root=25

Thus, DE is 25.

Sin D= 24/25, so that is false.

Tan D= 24/7, so that is false.

Cos E= 24/25, so that is true

Sin E= 7/25, so that is false.

4 0
3 years ago
In the xy-plane, what is the y-intercept of the graph of the equation y = square root of 4-x
Tpy6a [65]
The answer is C your welcome Gn
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3 years ago
(x^2y^3) = (xy^a)^b
Rainbow [258]

Answer:

C. \frac{3}{2}

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

( {x}^{2}  {y}^{3} )^{3}  = ( {x}  {y}^{a} )^{b}

Recall and apply the following rule of exponents.

( {x}^{m}  )^{n}  = {x}^{mn}

We apply this rule on both sides to get:

{x}^{2 \times 3}  {y}^{3 \times 3} =   {x}^{b}  {y}^{ab}

Simplify the exponents on the left.

{x}^{6}  {y}^{9} =   {x}^{b}  {y}^{ab}

Comparing exponents of the same variables on both sides,

b = 6 \: and \:\: ab = 9

\implies \: 6b = 9

Divide both sides by 6.

b =  \frac{9}{6}

b =  \frac{3}{2}

4 0
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