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1 year ago

−12x−5y=40 12x−11y=88 x= y=

1 answer:

6 0

Add the two equations and use the elimination method. The x term will "cancel out" to be able to solve for the y term.

STEP 1
−12x−5y=40
12x−11y=88
x terms "cancels out"; add y terms

-16y= 128
divide both sides by -16

y= -8

STEP 2
substitute y value into either original equation

12x−11y=88

12x - 11(-8)= 88

12x + 88= 88
subtract 88 from both sides

12x= 0
divide both sides by 12; 0 divided by any number is 0

x= 0

ANSWER: x= 0; y= -8

Hope this helps! :)

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A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex

MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is $x=p$

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(p,a)\ (p,-a)$

Substitute the values

$m=\frac{-a-a}{p-p}$

$m=\frac{-2a}{0}$ -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

$x=p$

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0

2 years ago

A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many li

igor_vitrenko [27]

We know that
1 liter------------> is equal to 1000 ml

if for one cake--------------> are required 80 milliliters of lemon juice
 for 11 cakes--------------> X
X=11*80---------> 880 ml

if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml

liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt

liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt

the answer is
are needed 0.88 lt of lemon juice and 2.64 lt of yogurt to make 11 cakes

7 0

2 years ago

Read 2 more answers

Three less than the difference of 16p and 15p is equal to the difference of 3 and 1/2

Paraphin [41]

3 less: -3

difference of 16p and 15p: 16p - 15p = p

is equal to: =

the difference of 3 and 1/2: 3 - 1/2 = 2.5

p - 3 = 2.5

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Add 3 to both sides

p - 3 (+3) = 2.5 (+3)

p = 2.5 + 3

p = 5.5

5.5 is your answer for p

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2 years ago

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the trinomial x2 bx c factors to (x m)(x n). if b is negative and c is positive, what must be true about m and n?

galina1969 [7]

For c to be positive, and for b to be negative, m must be negative and n must be negative.

X^2 - bx + c = (x - m)(x - n).

c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive

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2 years ago

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Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expres

Tems11 [23]

Answer:

y = 3/8x

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

$\frac{3}{4} (\frac{1}{2} )= \frac{3}{8}$ cups of sugar.