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Sloan [31]
3 years ago
9

Find the x- and y- intercepts of the equation -x+5y=10.

Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

X Intercept: (-10,0), Y Intercept: (0,2)

Step-by-step explanation:

Well, firstly you need to rewrite the equation to make it easier. After rewriting it you have the equation y=x/5+2 by adding the x to the right side and dividing everything by 5. Now simply plug in your zeroes in their respective places. For the x intercept, your y value must equal 0 so we have the equation 0=x/5+2. After solving it, x must be -10 in order for our y value to be 0 getting us for the x intercept (-10,0). For the y intercept, your x value must equal zero so you simply subsitute zero in the equation for x which I will do here: y=0/5+2. If our x value is zero, consequently, our y value will be 2 getting us for the y intercept, (0,2).

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Evaluate the following expression if x=4 28x - 9 (2x+ 6)​
musickatia [10]

Answer:

-14

Step-by-step explanation:

substitute 4 for x

28(4) - 9 (2(4)+ 6)​

multiply

112-9(8+6)

add numbers

112-9(14)

multiply

112-126

subtract

-14

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Select All Expressions That Represent The Area Of The Large, Outer Rectangle.
mixas84 [53]

Answer:

A, C, and E are your answers

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Solve for j.<br> j/-2+7=-12<br> j=
tangare [24]
J/-2 + 7 = -12 multiply both sides with 2

-j + 14 = -24 move -14 to the other side and change sign

-j= -24 - 14
-j = -38 and if you divide -38 with -1 you get + 38
j=38




4 0
3 years ago
In a probability experiment Eric flipped a coin 30 times the coin landed on heads 20 times what is the ratio of heads to tails i
pshichka [43]

Answer:

it would 600

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro
Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is 25(4+\sqrt{2})\ units   or approximately  135.4\ units

Part 3) The area is 937.5\ units^2

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

P=AB+BC+CD+AD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}

d=\sqrt{(-24)^{2}+(7)^{2}}

d=\sqrt{625}

d_A_B=25\ units

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

d=\sqrt{(-8+22)^{2}+(27+21)^{2}}

d=\sqrt{(14)^{2}+(48)^{2}}

d=\sqrt{2,500}

d_B_C=50\ units

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

d=\sqrt{(9+8)^{2}+(-4-27)^{2}}

d=\sqrt{(17)^{2}+(-31)^{2}}

d=\sqrt{1,250}

d_C_D=25\sqrt{2}\ units

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

d=\sqrt{(9-2)^{2}+(-4+28)^{2}}

d=\sqrt{(7)^{2}+(24)^{2}}

d=\sqrt{625}

d_A_D=25\ units

Find the perimeter

P=25+50+25\sqrt{2}+25

P=(100+25\sqrt{2})\ units

simplify

P=25(4+\sqrt{2})\ units ----> exact value

P=135.4\ units

therefore

The perimeter is 25(4+\sqrt{2})\ units   or approximately  135.4\ units

step 3

Find the area

The area of trapezoid is equal to

A=\frac{1}{2}[BC+AD]AB

substitute the given values

A=\frac{1}{2}[50+25]25=937.5\ units^2

4 0
3 years ago
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