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4 years ago

5

A system of equations is shown. 3x+4y=30 3x+5y=33. What is the value of y in the solution to the system of equations

2 answers:

Yuliya22 [10]4 years ago

4 0

Answer: y Is equal to 3 And x Is equal to 6

bixtya [17]4 years ago

4 0

Answer:

3x+5y=33

<u>+3x+4y=30</u>

<u> y=3 </u>

Step-by-step explanation:

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Which statements are true about the ordered pair (−1, 5) and the system of equations?

Ira Lisetskai [31]

Answer:

you answer would be A,B,D there all the answer u cant just have one also I just took the test im from k12

6 0

3 years ago

The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

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

step 2

<em>Find the distance AB</em>

$A(-2, 1). B(-3, 3)$

substitute in the formula

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

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

<em>Find the distance BC</em>

$B(-3, 3), C(-1, 5)$

substitute in the formula

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

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

$d_B_C=\sqrt{8}=2.83\ units$

step 4

<em>Find the distance CD</em>

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

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

$d_C_D=\sqrt{10}=3.16\ units$

step 5

<em>Find the distance DE</em>

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

<em>Find the distance AE</em>

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

6 0

3 years ago

Pleaseee help, Solve for x and y :3

irina1246 [14]

Answer:

x = $\sqrt{6}$ , y = 2 $\sqrt{3}$

Step-by-step explanation:

using the tangent ratio and the exact value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{x}{\sqrt{6} }$ = 1 , then

x = $\sqrt{6}$

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

using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{1}{\sqrt{2} }$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{\sqrt{6} }{y}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

y = $\sqrt{6}$ × $\sqrt{2}$ = $\sqrt{12}$ = 2 $\sqrt{3}$

6 0

2 years ago

Help pleaseee! Greatly appreciated if you do

IRINA_888 [86]

36% of 24..... or 0.36 times 24= 8.64
22% of 24......or 0.22 times 24= 5.28

8.64-5.28= 3.36. D.

6 0

3 years ago

Distributive property<br> 7(*+2)+3=73

Elina [12.6K]

X=8 would you like me to explain why?

4 0

3 years ago