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2 years ago

Having a hard time with this one, see picture.

Mathematics

1 answer:

vitfil [10]2 years ago

7 0

Answer:

AM=1 false

BM= ½ true

AM=½ false

BM= √3/2 false

AM= ✓3/2 true

BM=1 false

Step-by-step explanation:

Since the triangle is equilateral it means that all sides are of the same length. So AB=1, BC=1, AC=1

AM=1 false because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2

BM= ½ true because BC=1 so BM (half)=0,5=½

AM=1 false because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2

BM= √3/2 false because it's ½

AM= ✓3/2 true because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2

BM=1 false because BM= ½

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Sandwich sales for one week are $1,275.00 and 300 sandwiches are sold. How much did each sandwich sell for assuming each sold fo

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3 years ago

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Find a,b such that 7.2, a, b, 3 are in A.P.

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Answer:

The value of a = 5.8

The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

$2a = 7.2+b$

$b = 2a - 7.2$

a, b, 3 are also in A.P

$2b\:=\:a\:+\:3$

Putting $b = 2a - 7.2$

$2\left(2a-7.2\right)=a+3$

$4a-14.4=a+3$

$\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}$

$4a-14.4+14.4=a+3+14.4$

$4a=a+17.4$

$4a-a=a+17.4-a$

$3a=17.4$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3a}{3}=\frac{17.4}{3}$

$a=5.8$

Now, plugging $a=5.8$ in $b = 2a - 7.2$

$b=2\left(5.8\right)-7.2$

$b=2\cdot \:5.8-7.2$

$b=11.6-7.2$

$b=4.4$

Therefore,

The value of a = 5.8

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3 years ago

Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)

Jobisdone [24]

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can plug in the slope and point to the slope-intercept form equation (y = mx+b, where m=slope and b=y-int.)

y = m * x + b

(7) = (-8/9)*(-7) + b

Now, just solve for b!

(7) = (-8/9)*(-7) + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just plug in the slope and y-intercept we found into y = mx + b.

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2 years ago

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True or false? The quadratic equation 10p2 - 5p = -8 has one solution.

pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

a = 10
b = -5
c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

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d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

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