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3 years ago

2x+3y= -1 3x+4y = -4

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Answer:

Point Form- (-8,5)

Equation Form- x= -8, y= 5

Add the equations in order to solve for the first variable. Plug this value into the other equation in order to solve for the remaining variables.

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Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).

sergejj [24]

Hello :
the set of all points M (x,y) equidistant from the points A(−1, 6, 3)
and B(4, 3, −2):
MA = MB or MA² = MB²
an equation is :
(x+1)²+(y -6)²+(z - 3)² = (x - 4)² +(y -3)² + (z+2)²

3 0

4 years ago

UseU={1,2,3,4,5,6,7,8,9,10},A={1,3,4},B={4,7,8,9},and C={2,6,10}to find the given set AUB

salantis [7]

Answer:

A ∪ B = { 1,3,4,7,8,9}

Step-by-step explanation:

U = {1,2,3,4,5,6,7,8,9,10}

A={1,3,4} B={4,7,8,9} and C={2,6,10}

UNION OF SETS:

Union of two sets is defined as the set which has all the elements from both the sets.

Also, REPETITION OF THE ELEMENTS in NOT allowed in union of sets.

Now, here:

A={1,3,4} B={4,7,8,9}

So, A ∪ B = { 1,3,4,7,8,9} ( element 4 is written only ONCE here)

3 0

3 years ago

Solve for x. 2 1/2x−3/4(2x+5)=3/8

RUDIKE [14]

$2 \frac{1}{2}x- \frac{3}{4}(2x+5)= \frac{3}{8}$
$2 \frac{1}{2}x- \frac{6}{4}x- \frac{15}{4}= \frac{3}{8}$
$( 2\frac{1}{2}- \frac{6}{4})x= \frac{3}{8}+ \frac{15}{4}$
$( \frac{5}{2}- \frac{6}{4})x= \frac{3}{8}+ \frac{15}{4}$
$( \frac{10}{4}- \frac{6}{4})x= \frac{3}{8}+ \frac{30}{8}$
$\frac{4}{4}x= \frac{33}{8}$
$x= \frac{33}{8}=4 \frac{1}{8}$

Correct answer: C

6 0

4 years ago

The distance D (in miles) a car travels is related to how last, the rate R. the car is going and the amount of time T (in hours)

Alika [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

PLEASEE Can someone help me with this and show the work

Orlov [11]

Answer:

The vertex form is: y = 3(x-2)^2 + 7 . The vertex is (2, 7)

Step-by-step explanation:

Write the function: y = 3x^2 - 12x + 11 in vertex form

The vertex form of a quadratic equation is:

y = m(x - a)^2 + b where (a,b) is the vertex

For y = 3x^2 - 12x + 11

Solve for m

y = 3(x^2 - 4x) + 11

Complete the Square:

y = 3(x^2 - 4x + 4) + 11 - 4

y = 3(x - 2)^2 + 7

The vertex then is (2, 7)

3 0

3 years ago

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