1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
chubhunter [2.5K]
2 years ago
14

Write equations for the horizontal and vertical lines passing through the point (4, -5).

Mathematics
1 answer:
raketka [301]2 years ago
8 0

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

  • To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

  • To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

You might be interested in
Pediatricians prescribe 5mL of cough syrup for every 25lb of a child's weight. How many mililiters of cough syrup will the docto
Marianna [84]

Answer:

9 ml

Step-by-step explanation:

The Pediatrician prescribes 5 milliliters of cough syrup for every 25 lb of child weight.

Now, the weight of Jocelyn is 45 lb.

If the rate of prescribing the cough syrup in ml per weight of patients remains constant,

Then we can use the unitary method to get the amount of cough syrup prescribed by the Pediatrician for Jocelyn, and that will be

\frac{5*45}{25} =9 ml. (Answer)

3 0
3 years ago
Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half.
Goshia [24]

Answer:

y+3=\frac{1}{2} \left(x-6)

Step-by-step explanation:

Point slope form:

y-y_1=m\left(x-x_1\right)

<em>Note: </em>

  • <em>m represents the slope</em>
  • <em>(x1,y1) represents the coordinate point</em>

Our answer would be y+3=\frac{1}{2} \left(x-6)

7 0
3 years ago
Read 2 more answers
PRECAL:<br> Having trouble on this review, need some help.
ra1l [238]

1. As you can tell from the function definition and plot, there's a discontinuity at x = -2. But in the limit from either side of x = -2, f(x) is approaching the value at the empty circle:

\displaystyle \lim_{x\to-2}f(x) = \lim_{x\to-2}(x-2) = -2-2 = \boxed{-4}

Basically, since x is approaching -2, we are talking about values of x such x ≠ 2. Then we can compute the limit by taking the expression from the definition of f(x) using that x ≠ 2.

2. f(x) is continuous at x = -1, so the limit can be computed directly again:

\displaystyle \lim_{x\to-1} f(x) = \lim_{x\to-1}(x-2) = -1-2=\boxed{-3}

3. Using the same reasoning as in (1), the limit would be the value of f(x) at the empty circle in the graph. So

\displaystyle \lim_{x\to-2}f(x) = \boxed{-1}

4. Your answer is correct; the limit doesn't exist because there is a jump discontinuity. f(x) approaches two different values depending on which direction x is approaching 2.

5. It's a bit difficult to see, but it looks like x is approaching 2 from above/from the right, in which case

\displaystyle \lim_{x\to2^+}f(x) = \boxed{0}

When x approaches 2 from above, we assume x > 2. And according to the plot, we have f(x) = 0 whenever x > 2.

6. It should be rather clear from the plot that

\displaystyle \lim_{x\to0}f(x) = \lim_{x\to0}(\sin(x)+3) = \sin(0) + 3 = \boxed{3}

because sin(x) + 3 is continuous at x = 0. On the other hand, the limit at infinity doesn't exist because sin(x) oscillates between -1 and 1 forever, never landing on a single finite value.

For 7-8, divide through each term by the largest power of x in the expression:

7. Divide through by x². Every remaining rational term will converge to 0.

\displaystyle \lim_{x\to\infty}\frac{x^2+x-12}{2x^2-5x-3} = \lim_{x\to\infty}\frac{1+\frac1x-\frac{12}{x^2}}{2-\frac5x-\frac3{x^2}}=\boxed{\frac12}

8. Divide through by x² again:

\displaystyle \lim_{x\to-\infty}\frac{x+3}{x^2+x-12} = \lim_{x\to-\infty}\frac{\frac1x+\frac3{x^2}}{1+\frac1x-\frac{12}{x^2}} = \frac01 = \boxed{0}

9. Factorize the numerator and denominator. Then bearing in mind that "x is approaching 6" means x ≠ 6, we can cancel a factor of x - 6:

\displaystyle \lim_{x\to6}\frac{2x^2-12x}{x^2-4x-12}=\lim_{x\to6}\frac{2x(x-6)}{(x+2)(x-6)} = \lim_{x\to6}\frac{2x}{x+2} = \frac{2\times6}{6+2}=\boxed{\frac32}

10. Factorize the numerator and simplify:

\dfrac{-2x^2+2}{x+1} = -2 \times \dfrac{x^2-1}{x+1} = -2 \times \dfrac{(x+1)(x-1)}{x+1} = -2(x-1) = -2x+2

where the last equality holds because x is approaching +∞, so we can assume x ≠ -1. Then the limit is

\displaystyle \lim_{x\to\infty} \frac{-2x^2+2}{x+1} = \lim_{x\to\infty} (-2x+2) = \boxed{-\infty}

6 0
2 years ago
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including
nekit [7.7K]

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

5 0
2 years ago
Help please!<br> Solve the proportion for x.
Dovator [93]
1+3x /4= 5/2
1+3x = 5*4/2
1+3x =10
3x =9
x = 3




8 0
3 years ago
Read 2 more answers
Other questions:
  • If g(x) is the inverse of f(x), what is the value of f(g(2))the function f(x) is given below f(x)= {(3,-5), (5,-7),(6,-9),(10,-1
    11·1 answer
  • Whats 4×5÷6×9÷5×3÷9​
    10·2 answers
  • Is this a quadrilateral?
    13·2 answers
  • Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed
    7·1 answer
  • Easy one guys<br><br><br><br> 15 x 1 nd 1 half
    6·2 answers
  • PLEASE HELP!! WILL GIVE BRAINLEY!!! What is the equation of the exponential function that fits the table?
    13·1 answer
  • Find x and y in the figures below
    8·1 answer
  • Mark made 7 withdrawals of $75 each from her bank account. What was the overall change in her account?
    12·1 answer
  • HELPPPPPPPPPPP<br> GIVING BRAINLIEST
    5·2 answers
  • E=3.8cos(110πt). Determine the period.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!