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AveGali [126]
3 years ago
10

Is (3,2) a solution of -8x-2y<6

Mathematics
2 answers:
erik [133]3 years ago
8 0
-8(3) -2(2) < 6
-24 - (-4) < 6
-28 < 6

-28 is less than 6
UkoKoshka [18]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

to determine if the point is a solution substitute the x and y values into the inequality and check validity

(- 8 × 3 ) - (2 × 2) = - 24 - 4 = - 28 < - 6 ← True

hence (3, 2) is a solution of the inequality


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FREE BRAINLIEST!!!!!!
vivado [14]

Let's solve the first inequality at first. So,

−2(x + 4) + 10 < x − 7

-2x- 8 + 10 < x - 7 By distribution property.

-2x + 2 < x - 7 Adding the like terms.

-2x < x - 7 - 2 Subtract 2 from each sides.

-2x < x - 9 By simplifying.

-2x - x < -9 Subtract x from each sides.

-3x < -9

-\frac{3x}{3}

Since we are dividing by negative 3. So, sign of inequality will get change.

So, x>3

Now the next inequality is,

−2x + 9 > 3(x + 8)

-2x + 9 > 3x + 24

-2x > 3x + 24 - 9

-2x > 3x + 15

-2x - 3x > 15

-5x >15

-\frac{5x}{-5} >\frac{15}{-5}

So, x <-3

Hence, the correct choice is x > 3 or x < −3.

7 0
3 years ago
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Write an equation to represent
Zinaida [17]
128 square inches.



The area of a triangle is 1/2bh, where b is the base and h is the height. Substitute the values in.

1/2 * 8 * 32

Now, just solve.

4 * 32

128 square inches



Please consider marking this answer as Brainliest to help me advance.
4 0
3 years ago
Read 2 more answers
Determine the coordinate of the point shown. It’s on a (3,-5) (1,-2) (1.5, -2.5) (-2.5, 1.5)
Sveta_85 [38]

Answer:

its a function

slope form:y+5=-1.18·(x-3)

(-2.5,1.5)

Step-by-step explanation:

4 0
3 years ago
What is the distance between the points (5, 1) and (-3,-5)?
Reil [10]

Answer: THIRD OPTION.

Step-by-step explanation:

For this exercise you need to use the formula for calculate the distance between two points. This is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the following points:

(5, 1) and (-3,-5)

You can identify that:

x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1

Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.

Therefore, the distance between (5, 1) and (-3,-5) is:

d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10

8 0
3 years ago
Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )
Solnce55 [7]

We need convert the mixed numbers to improper fractions.

1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}

4 0
3 years ago
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