Solve for x 6 x − 9 = 2 x + 7 can u plz help me

Sonbull [250]

Answer= -4 & -4

The first step of this would be to write all the factor pairs of 16

(1,16)(2,8)(4,4)(-1,-16)(-2,-8)(-4,-4)

Of these, only one pair has a sum of -8. The (-4,-4) pair. So the answer is -4&-4

4 0

3 years ago

Which expressions correctly represent the area of the triangle XYZ?

Evgen [1.6K]

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(XZ)h$

= $\frac{1}{2}(18)h$

By applying sine rule in the ΔYPZ,

sin(38°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(38°) = $\frac{h}{14}$

h = 14[sin(38°)]

Therefore, area of the given triangle = $\frac{1}{2}(18)(14)sin(38)$

By applying sine rule in ΔYPZ,

sin(58°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(58°) = $\frac{h}{10}$

h = 10sin(58°)

Area of ΔXYZ = $\frac{1}{2}(18)(10)sin(58)$

Therefore, Options (2) and Option (1) are the correct options.

6 0

3 years ago

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

--------> inequality

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

--------> inequality

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N

Let

------> see the attached figure N

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality

------> is ok

inequality

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0

3 years ago

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4. Numbers those only<br>factors<br>one and itselt are called

katovenus [111]

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

3 0

3 years ago

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The circle is inscribed in Triangle AEC. Which are congruent line segments

Harlamova29_29 [7]

Answer:

E-F and E-D

C-B and C-D

Step-by-step explanation:

The circle and triangle are as shown. The options are:

A-B and C-B
E-F and E-D
E-D and C-D
A-F and E-F
C-B and C-D

By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites. Therefore, only segments that are legs of the same kite are congruent. So the answer must be E-F and E-D, and C-B and C-D.

6 0

3 years ago

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