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3 years ago

Solve the system of equations by substitution. x + y = x + 7y = 8

Mathematics

2 answers:

Rudik [331]3 years ago

4 0

Answer:

ITS 1, AND 1. Just TOOK THE TEST

Step-by-step explanation:

Ugo [173]3 years ago

3 0

Its (1,1) because I just took the test

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In order to inscribe a circle in a triangle, which line must you construct?

dalvyx [7]

Answer:

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

4 0

3 years ago

Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have

Andreyy89

Answer:

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function

Constraint :

basket capacity 17

9*x₁ + 3*x₂ + 4*x₃ ≤ 17

General constraints:

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

e) z (max) = 24

x₁ = x₂ = 0 x₃ = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

3 0

3 years ago

According to the 2010 U. S die senisa there are approximately 8 million people living in Virginia. this is 2.8 million less than

Drupady [299]

Answer:

Asking people to add you on roblex cringe

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3 years ago

In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.

xxTIMURxx [149]

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

The centroid of a triangle is the intersection of the three medians of the triangle

Each median connecting a vertex with the midpoint of the opposite side

The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = $\frac{2}{3}$ AD

∴ AP = $\frac{2}{3}$ AD

∵ AD = 15 units

∴ AP = AP = $\frac{2}{3}$ (15)

∴ AP = 10 units

5 0

3 years ago

The fastest recorded speed for an eastern gray kangaroo is 40 mph. What was the

Ludmilka [50]

The kangaroo's speed in feet per second is 58.67 feet per second

<h3>What was the kangaroo's speed in feet per second?</h3>

The speed is given as:

Speed = 40 mph

Rewrite properly as

Speed = 40 miles per hour

1 mile = 5280 feet

So, we have

Speed = 40 * 5280 feet per hour

Evaluate

Speed = 211200 feet per hour

1 hour = 3600 seconds

So, we have:

Speed = 211200 feet per 3600 seconds

Evaluate the quotient

Speed = 58.67 feet per seconds

Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds