MATHEMATICS MIDDLE SCHOOL

6x7=(6x5)+(6x2). Of which multiplication property?

Answers

Answer 1

Answer: this is factor property but turn around

Answer 2

Answer:

Answer:

distributive property

Step-by-step explanation:

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Dave uses 500 milliliters of juice for a How many more punch recipe He mixes it with 2 liters of ' pears did she buy ginger ale How many milliliters oi Dunce does he make ~ / .
identify the solution set of the given inequality using the given replacement set x<-5;(-9,-6.5,-5.2,-5,0,4.2)

Write an equation in point-slope form for the Line through the given point with the given slope.(3,-8); m= -0.24

the equation is y-y1 =m (x,x1)

Answers

y-(-8)=-0.24(x-3)
y+8=-0.24(x-3)

Sandra runs a water slide at the water park and needs to count the people who go down the slide. At the beginning of her shift, 178 people had gone down the slide. The table shows the total number of water sliders for several times during Sandra's shift.Hours into Sandra's shift

0 1 2 3
Total number of people

178 224 270 316
What is the equation in slope-intercept form that represents the total number of water sliders over time?

Choose the correct expressions from the drop-down menus to create the equation in slope-intercept form.

Answers

The table of total number of water sliders is an illustration of a linear function.

The equation in slope intercept form is: $\mathbf{y = 46x + 178}$

From the table, we have the following points.

$\mathbf{(x_1,y_1) = (0,178)}$

$\mathbf{(x_2,y_2) = (1,224)}$

Calculate the slope (m)

$\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}$

So, we have:

$\mathbf{m = (224 - 178)/(1 - 0)}$

$\mathbf{m = (46)/(1 )}$

$\mathbf{m = 46}$

The linear equation is then calculated as:

$\mathbf{y = m(x - x_1) + y_1}$

So, we have:

$\mathbf{y = 46(x - 0) + 178}$

$\mathbf{y = 46x + 178}$

Hence, the equation in slope intercept form is: $\mathbf{y = 46x + 178}$

Read more about linear functions at:

brainly.com/question/19608769

The answer is y = 46x + 178. I did this question b4 and this was the answer

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=(-70)/(13)$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

Answer:

x = 4

Step-by-step explanation:

The length of two legs of a right angle triangle are 2x and 3(x+1).

The length of longest side is 17 units. It means measure of hypotenuse is 17 units.

According to the pythagoras theorem,

$leg_1^2+leg_2^2=hypotenuse^2$

$(2x)^2+(3(x+1))^2=(17)^2$

$4x^2+9(x^2+2x+1)=289$

$4x^2+9x^2+18x+9=289$

$13x^2+18x-280=0$

On splitting the middle terms we get

$13x^2+70x-52x-280=0$

$x(13x+70)-4(13x+70)=0$

$(13x+70)(x-4)=0$

Using zero product property we get

$13x+70=0\Rightarrow x=-(70)/(13)$

$x-4=0\Rightarrow x=4$

The value of x can not be a negaive number, because for negative value of x the value of 2x is negative and side can not be negative.

Therefore, the value of x is 4.

Fill in the black (please answer fast thank you)

B-2
C- 4

Answers

Answer:

I would say (C.) -4

Step-by-step explanation:

makes the most since

Does this graph show a function? Explain how you know.A. Yes, there are no y-values that have more than one x-value.
B. No, there are y-values that have more than one x-value.
C. No; the graph fails the vertical line test.
D. Yes; the graph passes the vertical line test.

Answers

Answer:

Step-by-step explanation:

This does not represent a function. The gtraph fails the vertical line test: a vertical line drawn here will intersect the graph in more than one place.

Answer:

Step-by-step explanation:

the sum of 2 numbers is 30. the sum of the greater number and three times the lesser number is 54. Find the numbers

Answers

The numbers are 18 and 12.

18 + 12 = 30
18 + 3(12) = 54

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