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3 years ago

Find the x and y intercepts of 4x - 5y = 40 Is this correct and can someone explain why??

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Answer:

no, the correct answer is D.

Step-by-step explanation:

for the x-intercept you would first add 5y to both sides giving you 4x=5y+40. then you would divide both sides by 4, so the final equation would be x=5/4y+10.

for the y-intercept you would subtract 4x from both sides, making -5y=-4x+40. then you would divide both sides by -5, making the final equation y=4/5x-8.

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What polynomial identity should be used to prove that 21=25-4?. A. Difference of cubes B. Difference of Squares C. Square of Bin

Hunter-Best [27]

21 = 25 - 4
21 = 5² - 2²
21 = ( 5 - 2 ) · ( 5 + 2 )
21 = 3 · 7
21 = 21
Answer: B ) Difference of Squares

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4 years ago

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Alex777 [14]

1) The width is the length on the bottom of the rectangle, and the height is the length on the side of the rectangle.
Count the unit squares to find the width and height.
The answer is B) width = 5 and height = 6.

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The answer is 8 units.

3) Use the distance formula to find the distance between points Y and M.
The distance formula = $\sqrt{(x2- x1)^2 + (y2-y1)^2}$
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5 0

4 years ago

Someone, please help me out here.

makvit [3.9K]

Answer:

Smallest to largest

Step-by-step explanation

4/3, square root of 2, 1.423..., pie, 1.666...., square root of 4

8 0

3 years ago

Given: PS=RT, PQ=ST<br> Prove: QS=RS

ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0

3 years ago

1)Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.

dimulka [17.4K]

To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):

The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4

This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.

5 0

4 years ago

Read 2 more answers