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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Answer:

$\langle4,-1\rangle$

Step-by-step explanation:

To subtract two vectors, subtract the horizontal components with each other and the vertical components with each other:

$w=\langle5,3\rangle$

$z=\langle1,4\rangle$

$w-z=\langle5,3\rangle-\langle1,4\rangle=\langle5-1,3-4\rangle=\langle4,-1\rangle$

Therefore, the resulting vector is $\langle4,-1\rangle$

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Your bill at a restaurant comes to $24.50. Your gratuity is 20%. What is the final bill?

Elena-2011 [213]

The final bill will come to $29.40.

To get this answer, you must multiply 24.50 by 20% to get 4.90. Then, you add the two decimals to get the final bill price of $29.40.

4 0

3 years ago

PLS 40 points

Pavlova-9 [17]

Step-by-step explanation:

Let $p1$ be the point $(-1,4)$

Let $p2$ be the point $(3,-4)$

The equation of the line passing through two points $p1=(x_{1},y_{1})$

and $p2=(x_{2},y_{2})$ is $\frac{y-y_{1}}{x-x_{1}} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

substituting $p1,p2$ in the above equation yields

$\frac{y-4}{x-(-1)}=\frac{-4-4}{3-(-1)}$

which when simplified gives $\frac{y-4}{x+1}=\frac{-8}{4}$

which when further simplified gives $2x+y=2$

5 0

3 years ago

Helppppppppppp please

LenaWriter [7]

Answer:

x = 60°

Step-by-step explanation:

AOB Center: O AB: diameter

arc ADB = 180°

arc DB = 180 - arc AD = 80°

x = 1/2 x ( arc DB + arc AC) = 1/2 x (80 + 40) = 60°

3 0

3 years ago

3+2/5x=11-2/5<br> What is the solution

Pachacha [2.7K]

Answer:

5/53

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I need help With what the answer is

Marina CMI [18]

Answer:

OPTION C: y = 2x² + 1

Step-by-step explanation:

To identify the function substitute the values of 'x' and 'y' and compare LHS and RHS.

OPTION A: y = -(5x + 1)

When x = -2, y = 9

Therefore, LHS = 9

RHS = -(5(-2) + 1) = -(-10 + 1) = 9

So, LHS = RHS.

Now, we check for the second pair. i.e., (x, y) = (-1, 3)

LHS = 3

RHS = -(-5 + 1) = -(-4) = 4

LHS $\ne$ RHS

So, this option is eliminated.

OPTION B: y = - 4x + 1

Like OPTION A, substitute x = -2 and y = 9.

LHS = 9

RHS = - 4(-2) + 1 = 9

LHS = RHS

Now for the second pair: (-1, 3)

LHS = 3

RHS = -4(-1) + 1 = 4 + 1 = 5

We see LHS $\ne$ RHS.

So, this option is eliminated as well.

OPTION C: y = 2x² + 1

Substituting the first pair: (-2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

So, LHS = RHS

Now For the second pair: (-1, 3)

We have LHS = 3

RHS = 2(1) + 1 = 3

LHS = RHS.

The third pair: (0, 1)

LHS = 1

RHS = 2(0) + 1 = 1

For the pair: (1, 3)

LHS = 3

RHS = 2(1) + 1 = 3

Again, LHS = RHS

For the pair: (2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

Since, for all the pairs we have LHS and RHS equal, we con conclude that this is the correct representation of our function.

Similarly, substitute OPTION D. The option can be eliminated in the second pair itself.

So, the answer is OPTION C.

7 0

3 years ago