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Klio2033 [76]
3 years ago
9

Heyy, Just click the picture! :D :)

Mathematics
2 answers:
ziro4ka [17]3 years ago
3 0
3 touchdowns

6x3=18 

hope this helped
vlabodo [156]3 years ago
3 0
The answer to the question is 108
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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

x=\frac{-8(-)22} {2}=-15

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

4 0
3 years ago
Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.
zmey [24]

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y.  Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line  and inserting the data given (slope = m = -8/3, x = 4,  y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or  -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

8 0
2 years ago
Use the disruptive property in order to multiply 5(b + 8)
Vikki [24]

Answer:

5b+40

Step-by-step explanation:

distributive property

8 0
3 years ago
Find an equation of a line containing the point (-6,3) and has slope<br> - 1/3
AfilCa [17]

Answer: y=-1/3x+1

Step-by-step explanation:

To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.

3=-1/3(-6)+b         [multiply]

3=2+b                   [subtract both sides by 2]

b=1

Now that we know the y-intercept, we know that the equation is y=-1/3x+1.

7 0
3 years ago
The expedition team plan a final practice run to test the range of their communication equipment. One member travels a distance
podryga [215]

Answer:

We need to sketch the problem first.

Find the size of angle R.

One member travels a distance of 12km due north. Another team member heads 50degree east of north and travels a distance of 10km.

If se substute 50° of 180 we have

180-50=130°

The distance between the two team members is the missing side.

We know two sides and included angle, so we use the cosine rule.

A2+b2+c2-2bcCosA

= 102+122-(2x10x12xcos130°)

=100+144-(-147.08)

=100+144+147.08

=391.08

A==SQRT391.08

=19.775

19.7km

Step-by-step explanation:

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4 0
2 years ago
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