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3 years ago

8

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the

smaller number? (1 point)
x(x − 8) = 72

x − (x + 8) = 72

x + (x + 8) = 72

x(x + 8) = 72

2 answers:

densk [106]3 years ago

7 0

$x + (x + 8)$

koban [17]3 years ago

4 0

X+y=72
x-y=8

different terms add
similar signs subtract
2x+y-y=80
2x=80
x=40
y=32

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A statue of Abraham Lincoln casts a 9-foot shadow at the same time the White House casts a 48-foot shadow. If the White House is

jeka94

Answer: The statue, originally intended to be only 10 feet tall, was on further consideration enlarged so that it finally stood 19 feet tall from head to foot, the scale being such that if Lincoln were standing he would be 28 feet tall.

Step-by-step explanation: hope this helps

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2 years ago

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Y = 4x – 18<br> y = -5x +9

adelina 88 [10]

Answer:

(3, -6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

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Coordinates (x, y)
Terms/Coefficients
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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
[Addition Property of Equality] Add 18 on both sides: 9x = 27
[Division Property of Equality] Divide 9 on both sides: x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
Multiply: y = 12 - 18
Subtract: y = -6

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2 years ago

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If f(x) = -2x^2 + x–5, what is f(3)?

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Answer:

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Step-by-step explanation:

Replace X by 3

f(3) = -2(3)^2+ (3)-5 = -20

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3 years ago

an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

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3 years ago

Y = x^2 + 2x - 8 Solve with zeros

Katen [24]

Answer:

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Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

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Using the zero product property

x+4 =0 x-2 =0

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3 years ago