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zimovet [89]
2 years ago
12

Use the coordinates of the labeled point to find the point slope equation of the line

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

D. y + 1 = -2(x - 2)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a), where,

(a, b) = a point of the graph.

m = slope of the graph

Find the slope of the graph:

Slope = \frac{rise}{run} = \frac{-4}{2} = -2

Using the point (2, -1) and the slope, m, = -2, we can derive the equation in point-slope form by substituting a = 2, b = -1, and m = -2 into y - b = m(x - a).

✅The equation would be:

y - (-1) = -2(x - 2)

y + 1 = -2(x - 2)

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5.The ratio of the age of a mother and her son is 5:2. If the
Andreyy89

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80

5 0
3 years ago
Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
otez555 [7]

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

<u>Step-by-step explanation:</u>

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

4 0
3 years ago
Read 2 more answers
Solve Sec(2x)-4=0 for the first two positive solutions. thanks!
SSSSS [86.1K]

Answer:

2e-78

Step-by-step explanation:

a lot of factorials bruuru

6 0
3 years ago
I need help answering
Bas_tet [7]
1/4 c + 3d

c=6 d=7

1/4 (6) + 3(7)

1.5+ 3(7)
1.5+ 21
22.5
5 0
3 years ago
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