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Nataly [62]
3 years ago
15

Hi! Can you please help me with problems? If you can, please show work. Thank you!

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
1.)
x + (x + 1) = 145
2x + 1 = 145
2x = 145 - 1
2x = 144
x = 72

if x is equal to 72
72 + 1 = 73

therefore the 2 integers is 72 and 73

2.
x + (x + 1) + (x + 2) = 54
3x + 3 = 54
3x = 54 - 3
3x = 51
x = 17

numbers are, 17, 18 and 19
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3x-9=3(x-3) how many solutions​
Colt1911 [192]

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

3x - 9 = 3 ( x - 3 )        Equation

Step 2:

3x - 9 = 3x - 9       Multiply

Step 3:

- 9 = - 9       Subtract 3x on both sides

Answer:

All Real Numbers

Hope This Helps :)

4 0
3 years ago
Point I is on line segment HJ. Given HJ = 15 and IJ<br> HI.<br> 10, determine the length
melomori [17]

Answer:

Point I is on line segment HJ; which means HI and IJ are equal.

HJ = 15

IJ = 10

Finding the length of HI, given the above statements:

Length of HI = 10 (reason: HI and IJ are congruent)

8 0
3 years ago
For the following inequality, indicate whether the boundary line should be dashed or solid. 3x ≥ y + 1
Kay [80]
The boundary line should be solid because it have a 'great/less than or equal to' sign
8 0
3 years ago
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

We have been given two points on a line (-6,-5) and (-4,-4). We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation y=mx+b, where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

Let point (-6,-5)=(x_1,y_1) and point (-4,-4)=(x_2,y_2).

m=\frac{-4-(-5)}{-4-(-6)}

m=\frac{-4+5}{-4+6}

m=\frac{1}{2}

Now, we will substitute m=\frac{1}{2} and coordinates of point (-6,-5) in slope-intercept form of equation as:

-5=\frac{1}{2}*(-6)+b

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-5+3=-3+3+b

-2=b

Upon substituting m=\frac{1}{2} and b=-2 in slope-intercept form of equation, we will get our required equation as:

y=\frac{1}{2}x-2

Therefore, our required equation would be y=\frac{1}{2}x-2.

8 0
3 years ago
Evaluate 10w-40, when w=3
stiks02 [169]
Simplify the expression
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Hope this helps! :)
4 0
3 years ago
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