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3 years ago

Which of these are like terms in the following expression:

Mathematics

1 answer:

kumpel [21]3 years ago

7 0

Answer:

The second one (3x, 9x)

Step-by-step explanation:

Like terms are the terms that either have the same variable or have no variable.

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Solve the equation 4(3y-1)-3(2y)=6

olga nikolaevna [1]

Answer:

$4(3y - 1) - 3(2y) = 6$

Remove backets

$12y - 4 - 6y = 6$

Group and Evaluate like terms

$12y - 6y = 6 + 4$

$6y = 10$

$y = 10 \div 6$

$y = 1.67$

$y = \frac{5}{3}$

6 0

4 years ago

Tatiana is practicing shooting. The coordinates (in m) of the barrel of her gun and the target are (5, 3, 1) and (38, 41, 3). Wh

saul85 [17]

Answer:

$d=\sqrt{2,537}\ m$ or $d=50.37\ m$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points in three dimensions is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}+(z2-z1)^{2}}$

Let

$A(5,3,1)$ -----> coordinates of the barrel of her gun

$B(38,41,3)$ -----> coordinates of the target

substitute the values

$d=\sqrt{(41-3)^{2}+(38-5)^{2}+(3-1)^{2}}$

$d=\sqrt{(38)^{2}+(33)^{2}+(2)^{2}}$

$d=\sqrt{1,444+1,089+4}$

$d=\sqrt{2,537}\ m$

$d=50.37\ m$

7 0

3 years ago

What is the solution of √1-3x = x+3 ?<br><br><br>

Vadim26 [7]

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0. Factoring, we get: (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

5 0

3 years ago

Read 2 more answers

A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th

STatiana [176]

Answer:

The equation for the curve is:

$f(x) = 7*e^{2*x}$

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

$f(x) = A*e^{k*x}$

Replacing that in the second equation, we get:

$k*A*e^{k*x} = 2*A*e^{k*x}$

From that equation, we can conclude that k = 2

Then:

$f(x) = A*e^{2*x}$

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

$f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A$

Then we can conclude that the equation for the curve is:

$f(x) = 7*e^{2*x}$

6 0

3 years ago

Using the triangle below, Find the ratio. Please need help very much appreciate

zmey [24]

Answer/Step-by-step explanation:

✔️Sin 22° = opp/hyp

Opp = 15

Hyp = 40

Sin 22° = 15/40

Simplify

Sin 22° = ⅜

✔️Tan 22° = opp/adjacent

opp = 15

Adjacent = √(40² - 15²) (pythagorean theorem)

Adjacent = √1,375 = 37.1 (nearest tenth)

Tan 22° = 15/37.1

3 0

3 years ago