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stich3 [128]
2 years ago
12

Help pls!

TexFormula1" title="\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}" alt="\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
saw5 [17]2 years ago
3 0

Answer:

Soln:

5x+3y=7

(5x+3y)×5=7×5

25x+15y=35,eq.1

3x-5y=(-23)

(3x-5y)×3=-23×3

9x-15y=(-69)

Adding both equations,

25x+15y=35

9x-15y=(-69)

34x=(-34)

x=(-1)

5x+3y=7

(-5)+3y=7

3y=12

y=4

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maria [59]

Answer: I belive its 10.

Step-by-step explanation: Because 3 plus 3 plus 4 equals 10.

8 0
3 years ago
A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op
kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

4 0
3 years ago
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
3 years ago
Which is true about the polynomial y^2- 3y +12?
Oksanka [162]

It has 3 terms (y²) and (-3y) and (12), so it's a trinomial.


The degree of a polynomial with 1 variable is the highest exponent...so it has a degree of 2. But if it had more then 1 variable, it would be different.


ANSWER: The polynomial is a trinomial with a degree of 2

8 0
3 years ago
Anas received an increment of 15% in his salary. His new salary is $3450. calculate
andrew-mc [135]

Answer:

$3000 is his original salary.

Step-by-step explanation:

3450 / 1.15 = 3000

7 0
3 years ago
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