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aleksandrvk [35]

2 years ago

10

Solve – 4y – 10 = 4(y - 3)

2 answers:

Snezhnost [94]2 years ago

7 0

Answer:

y= 1/4

Step-by-step explanation:

Savatey [412]2 years ago

4 0

Answer:

y=-7/8

Step-by-step explanation:

-4y-10=4y-3

add 10 on both sides

-4y=4y+7

subtract the four on the right from both sides

-8y=7

divide -8 on both sides

answer: -7/8

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One leg of a 45°-45°-90° triangle measures 9sqrt2 inches. What is the length of the hypotenuse?

stiv31 [10]

We know that
a=9√2
b=9√2
a=b---------- <span>for having both angles of 45</span>
c²=a²+b²-------> (9√2)²+(9√2)²------>(324)-----------> c=√324=18

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3 years ago

Sarah is 13 years older than Mike. The sum of their ages is 37. How old is Sarah and how old is Mike? Enter your answer as on or

Blizzard [7]

Answer:

(24,13)

Step-by-step explanation:

24 is Sarah's age.

13 is Mike's age.

System:

$\left \{24+13=37$

I hope this helped!

3 0

2 years ago

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

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