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Radda [10]
3 years ago
7

Solve for x.

x}{2} = - 7" alt=" \frac{x}{2} = - 7" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Irina-Kira [14]3 years ago
8 0

Answer:

-14

Step-by-step explanation:

We must find out what divided by 2 equals -7

So we work backwards

2(-7)

2(-7)=-14

When multiplying negative and positive you get negative

Plug in -14 in x

-14/2=-7

If you can't solve it put it in calculator

Hope this helps plz mark brainliest!

weeeeeb [17]3 years ago
4 0

Answer:

x = -14

Step-by-step explanation:

\frac{x}{2} = -7

multiply 2 on both sides

the 2's cancel out on the fraction side, leaving x = -7(2)

multiply -7 and 2 to get -14

x = -14

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Brian is 2 years older than Malachy. Caroline is 8 years younger than Malachy. If the total of their ages is 66, how old is the
SVETLANKA909090 [29]

Answer:

The eldest of them is Brian and he is 24 + 2 = 26 years old.

Step-by-step explanation:

Let

Malachy age = a

Brian age = a + 2

Caroline age = a - 8

Total of their age = a + (a + 2) + (a - 8)

66 = a + (a + 2) + (a - 8)

collect like terms

66 = a + a + 2 + a - 8

66 = a + a + a - 6

3a = 66 + 6

3a = 72

divide both sides by 3

a = 72/3

a = 24

Malachy age is 24 . Caroline is 24 - 8 = 16 years old.

The eldest of them is Brian and he is 24 + 2 = 26 years old.

7 0
3 years ago
The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that
Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

6 0
3 years ago
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
grandymaker [24]

Answer:

The lines represent the inequalities .

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points   and   can be expressed as,

Given:

The inequalities are as follows.

a. x – 5y < –5 and y < –2x – 4

b. x + 5y > 5 and y < 2x + 4

c. x – 5y < –5 and y < –2x + 4

d. x + 5y > 5 and y < 2x – 4

Step-by-step explanation:

The blue line intersects y-axis at , therefore the y-intercept is 4.

The blue line intersect the points that are  and .

The slope of the line can be obtained as follows.

The slope of the line is m = 2.

Now check whether the inequality included origin or not.

Substitute  in equation y=x+1.

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the blue line is y < 2x + 4.

The orange line intersects y-axis at , therefore the y-intercept is 1.

The orange line intersect the points that are  and  .

The slope of the line can be obtained as follows.

The slope of the line is m =  .

Now check whether the inequality included origin or not.

Substitute  in equation y > .

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the orange line is y > .

Solve the equation y > .

The equation of orange line is 5y + x > 5.

Option (a) is not correct as it satisfy the inequalities of the graph.

Option (b) is correct as it satisfy the inequalities of the graph.

Option (c) is not correct as it satisfy the inequalities of the graph.

Option (d) is is not correct as it satisfy the inequalities of the graph.

Hence,  is correct.

7 0
3 years ago
Read 2 more answers
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is
Julli [10]

Answer:

The maximum safe rescue height is   104.6 feet above the height of  the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and  AB be the building  and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}

\sin 72^{\circ}=\frac{AB}{BC}

\sin 72^{\circ}=\frac{x}{110}

x=110 \times \sin 72^{\circ}

x=104.6

So, the maximum safe rescue height is   104.6 feet above the height of

the ground.

5 0
3 years ago
Read 2 more answers
The elevation of driskill mountain Louisiana is 163 meters above sea level death Valley has an elevation of -86 meters right any
timama [110]

Answer:

-86

Step-by-step explanation:

We have been given that the elevation of driskill mountain Louisiana is 163 meters above sea level. The death Valley has an elevation of -86 meters.

We can represent this information in an inequality as: -86. Our inequality means that the elevation of death valley is less than elevation of driskill mountain.  

8 0
3 years ago
Read 2 more answers
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