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USPshnik [31]
3 years ago
5

Use the quadratic formula to solve x^2 + 3^x - 28 = 0

Mathematics
1 answer:
Mama L [17]3 years ago
3 0

Step-by-step explanation:

x^2 + 3x - 28 = 0

x^2 - 7x + 4x - 28 = 0

x(x-7) + 4(x-7) = 0

(x+4)(x-7)= 0

x+4=0 or x-7=0

x= -4 or x=7

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you know you really need to watch what you say that comes out of your mouth

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A taxi service charges a $10 flat fee plus $3 per mile traveled. If an equation is made to calculate the total cost of a taxi ri
sertanlavr [38]
Flat rate=y intercept
rate per mile=slope
y=3x+10 would be it

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3 is the value of the slope (3 dollars per mile)

2.
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3 years ago
On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is
OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation.

P(x,y) - Original point.

k - Scale factor.

P'(x,y) - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

(P(x,y) = (10, 40), Q(x,y) = (70, 120), O(x,y) = (0,0), k = 5)

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]

P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]

P'(x,y) = (50,200)

Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]

Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]

Q'(x,y) = (350, 600)

Then, the length of the resulting segment is determined by following Pythagorean identity:

l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}

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3 0
3 years ago
You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represent
horsena [70]

Answer:

Area = 112.5

Step-by-step explanation:

Given

X = (15,20)

Y = (15,5)

Z = (0,5)

Required

Determine the area of the triangle

The area is calculated using the following formula:

Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|

Where

(X_x,X_y) = (15,20)

(Y_x,Y_y) = (15,5)

(Z_x,Z_y)= (0,5)

Substitute right values in the given formula:

Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|

Area = |\frac{15(0) + 15(15) + 0(15)}{2}|

Area = |\frac{0 + 225 + 0}{2}|

Area = |\frac{225}{2}|

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Area = 112.5

<em>Hence, the area of the triangle is 112.5</em>

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Aleks04 [339]

Answer:

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