We have that
y=x²<span>+5x+3
y=</span>√(<span>2x+5)

using a graph tool
see the attached figure

the solution is
x=-0.175
y=2.156

therefore

the answer is the option
</span>B.) (-0.2, 2.1)

6 0

3 years ago

Read 2 more answers

Original price: $20 Discount %: 35%

dangina [55]

Answer:

$13 or $7 off

Step-by-step explanation:

20-35%=13

So that means that it is $7 off and it is now $13

4 0

3 years ago

Need helppp hurry please i only have 1 check answer

Angelina_Jolie [31]

Answer: 1

Step-by-step explanation: 3z+6 you subtract 6 from each side which gives u 3z=3 then u divide so 3 divide by 3 is one or just z

8 0

2 years ago

Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

3 years ago