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Pepsi [2]
3 years ago
7

What is the answer?

Mathematics
1 answer:
torisob [31]3 years ago
7 0

x= 4

x+3=2x-1

-x+3=-1

-x=-4

x=4

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with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
⇒
x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
4 0
3 years ago
What equations is equivalent to y = log x
saw5 [17]

"log" standing alone actually means "logarithm to the base 10."


Thus, y = log x   <=>   y = log      x
                                               10
                                                                           y
 Stated another way (inverse functions), x = 10
4 0
3 years ago
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
Explain the steps you would take to complete this conversion problem
OLEGan [10]

Answer:

20909.09 grams

Step-by-step explanation:

\frac{46 \: lb}{1}  \times  \frac{1 \: kg}{2.2 \: lb}   \times  \frac{1000 \: g}{1 \: kg}  = \\ \frac{46 \: lb}{2.2 \: lb}  \times  \frac{1 \: kg}{1} \:   \times  \frac{1000 \: g}{1 \: kg}  = \\\frac{230 \: }{11 \:}  \times \frac{1 \: kg}{1 \: kg \:}\times \frac{1000 \: g}{1 \:}  = \\\frac{230 \: }{11 \:}  \times \frac{1}{1}\times \frac{1000 \: g}{1 \:}  = \\\ \frac{230}{11}g  \times 1g  \times \: 1000g

= 230 grams / 11 grams × 1000 grams = 20.90909... × 1000 = 20909.09 grams

8 0
3 years ago
Read 2 more answers
Find the missing side lengths​
hichkok12 [17]

Answer:

a = 17

b = 17

Answered by GAUTHMATH

3 0
3 years ago
Read 2 more answers
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