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3 years ago

What is the value of y so that the ordered pair (-2,y) is a solution to the equation 8x + =32 ?

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

8(-2)+y=32
-16+y=32
-16+16+y=32+16
y=48
D is the correct answer!

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find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)

aivan3 [116]

Answer:

Therefore,

$x = 9$

Step-by-step explanation:

Given:

Let,

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units (distance between points L and M)

To Find:

x = ?

Solution:

Distance formula between Two points is given as

$l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Substituting the values we get

$15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}$

Square Rooting we get

$(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21$

As point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

$x = 9$

Therefore,

$x = 9$

3 0

3 years ago

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl

icang [17]

Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
<span>Measure of angle AED is 28°

I hope I helped

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3 0

3 years ago

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A square matrix A is said to be idempotent iff A2 = A. (i) Show that if A is idempotent, then so is I − A. (ii) Show that if A i

muminat

Answer:

Step-by-step explanation:

Given that A is a square matrix and A is idempotent

$A^2 = A$

Consider I-A

i) $(I-A)^2 = (I-A).(I-A)\\= I^2 -2A.I+A^2\\= I-2A+A\\=I-A$

It follows that I-A is also idempotent

ii) Consider the matrix 2A-I

$(2A-I).(2A-I)=\\4A^2-4AI+I^2\\= 4A-4A+I\\=I$

So it follows that 2A-I matrix is its own inverse.

7 0

3 years ago

Use the rule for order of operations to simplify the expression as much as possible 30-2(4*9-26)=

kap26 [50]

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3 0

3 years ago

Is either x=5 or x=3 a solution to 11- x <7

Aleks [24]

Answer:

Explanation:

11 - x < 7

11 minus a number is less than 7

<em>Insert 5 into the equation</em>

11 - 5 < 7

<em>Simplify</em>

6 < 7

This is true

<em>Insert 3 into the equation</em>

11 - 3 < 7

<em>Simplify</em>

8 < 7

This is false

<h3><u><em>x = 5 is a solution to the equation 11 - x </em></u><u>< 7</u></h3><h3><u /></h3>

- PacificNorthwest

3 0

3 years ago

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