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2 years ago

If x= 3 and y = 7 evaluate the following expression: 20 - (3y - 4x)

Mathematics

2 answers:

slavikrds [6]2 years ago

8 0

Answer:

Step-by-step explanation:

3x3=9 4x7=28 28+9=37 37-20=17

vladimir1956 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

20-(3y-4x)

replace the variables

20-(3*7-4*3)

multiply

20-(21-12)

subtract

20-(9)

20-9

answer=11

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How many solutions does this system of equations have?

Alekssandra [29.7K]

The first step for solving this expression is to know that since both of the expression are equal to y,, we must set them each to each other to form an equation in x. This will look like the following:
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)

7 0

3 years ago

Which of the rectangles below have an area of 18 cm²?

Elenna [48]

$\textsf{Rectangle A}$

$\implies \mathsf {Area = 3 \times 6 = 18cm^{2}}$

$\implies \bf {Yes}$

$\textsf {Rectangle B}$

$\implies \mathsf {Area = 2 \times 9 = 18cm^{2}}$

$\implies \bf {Yes}$

$\textsf {Rectangle C}$

$\implies \mathsf {Area = 5 \times 4 = 20cm^{2}}$

$\textsf {Rectangle D}$

$\implies \mathsf {Area = 9 \times 2 = 18cm^{2}}$

$\implies \bf {Yes}$

5 0

2 years ago

Read 2 more answers

In right triangle abc /_B is right angle and m/_c=30 if Ac=10 what is AB

Ivanshal [37]

Answer:

plz mark brainliest..

Step-by-step explanation:

AC is the hypotenuse = 10

AB is side opposite to <C

<C = 30°, <B = 90°

by 30°-60°-90° theorem

side opposite to 30° is equal to half of hypotenuse

therefore,

AB = 1/2 × AC

AB = 1/2 × 10

AB = 5

therefore number 5 is answer

hope it will help you

7 0

3 years ago

Which point has coordinates (-5, -5) ?

timurjin [86]

Answer:

Your answer is S

Step-by-step explanation:

You move 5 to the left on the X axis, side to side.

Then you move 5 down on the Y axis, up and down.

5 0

2 years ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago