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3 years ago

SELECT ALL OF THE EQUATIONS THAT

Mathematics

1 answer:

anygoal [31]3 years ago

4 0

Answer:

x+9= 12 yes x = 3

4 + X= 9 no x = 5

X x 5 = 18 no x = 3.6

21 / x= 7 yes x= 3

hope this helps

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Cornelia cut equal lengths of ribbon each 7/10 ft long. The ribbon was 3 1/2 ft long.How many pieces did Cornelia cut?

Ilya [14]

she cut two and two thirds 2 2/3

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3 years ago

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

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3 years ago

What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

nirvana33 [79]

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

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3 years ago

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What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?

Nata [24]

The answer would be 240 since you are only looking for surface area, which means you wouldn’t include the width

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Use The four step process to find the slope of the tangent line to the graph of the given function at any point. ( simplify your

hodyreva [135]

Answer:

The answer to your question is: 16x + 3

Step-by-step explanation:

Step 1 : f(x) = 8x² + 3x

f(x +h) = 8(x + h)² + 3( x + h)

f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

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Step 2 f(x+h) - f(x) = 8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

= 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x

= 16xh + 8h² + 3 h

Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

= 16x + 8h + 3

Step 4 lim f(x + h) - f(x)/ h = lim 16x + 8h + 3 = lim 16x + 8(0) + 3 = 16x + 3

h ⇒0 h ⇒0 h ⇒0

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3 years ago