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photoshop1234 [79]
3 years ago
11

With a slope of m = -2 and a point being (5,-2) what’s the Y-intercept?

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

c = 8

Step-by-step explanation:

Given the following data;

Slope, m = -2

Points (x, y) = (5, -2)

To find the intercept, c;

Equation of a straight line is given by the formula: y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

-2 = -2(5) + c

-2 = -10 + c

c = 10 - 2

c = 8

Therefore, the y-intercept is 8.

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-5x^2-6=-4x using the Quadratic Formula.
a_sh-v [17]

Answer:

Step-by-step explanation:

-5x² - 6 = -4x

-5x² + 4x - 6 = 0

a = -5  ; b = 4  ; c = -6

Discriminant = b² - 4ac

                     = 4² - 4*(-5)*(-6)

                     = 16 - 120

                     = -104

roots = \dfrac{-b+\sqrt{D}}{2a} \ ; \   \dfrac{-b-\sqrt{D}}{2a}

=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}

5 0
2 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is
ELEN [110]

Answer: 53.333

Step-by-step explanation: you have to use the formula base times height divided by 3 please mark me the branliest

5 0
2 years ago
Which equation has only 1 solution? A. c+2=c+2 B. c= -c+2 C. c+2=c-2 D. c-c=2 Please explain.
zhannawk [14.2K]

Answer:

B. c= -c+2

Step-by-step explanation:

A. ...................

  • c+2=c+2
  • c-c= 2-2
  • 0=0

It has infinitely many solutions as the equation is correct for any value of c.

B. ...................

  • c= -c+2
  • c+c= 2
  • 2c = 2
  • c = 2/2
  • c= 1

It has one solution only

C. ...................

  • c+2=c-2
  • c-c= -2 - 2
  • 0 = -4

It has no solution as this equation is incorrect

D. ...................

  • c-c=2
  • 0 = 2

It has no solution as this equation is incorrect

6 0
3 years ago
Find the Slope for <br> (3,-4) and (5,4)
REY [17]
The picture below shows the formula for calculating slope

In this example:
y2 = 4
y1 = -4
x2 = 5
x1 = 3
(These are the numbers you substitute into the formula)

Calculations:
4 - (-4) = 8
5 - 3 = 2
8/2 = 4

As you can see, after the values are substituted into the equation & simplified, the slope is equal to 4

8 0
1 year ago
Read 2 more answers
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
julsineya [31]

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

  • d= 500*0.045= 22.5 mg

After second dose:

  • d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

  • d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

  • 500+19*22.5= 927.5 mg
5 0
2 years ago
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