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defon
3 years ago
12

Using polynomial long division, solve: (x^3+4x^2-31x-70)/(x2+2x-35) Show work.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0
It is difficult to right all steps, but I will give you the answer:

(x^3+4x^2-31x-70)/(x2+2x-35) = (x²+2x-35)(x+2) & the remainder is zero
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Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?
joja [24]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

18(\frac{3}{6})=9\ beads

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

\frac{3}{6}=\frac{1}{2}=0.50*100=50\%

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

8 0
3 years ago
Find the values of x, y, and z. The diagram is not to scale.
rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

5 0
3 years ago
Please answer ASAP. You begin with 1/2 scoop of ice cream. Since you're hungry, you ask the vendor for 2/7 more scoops of ice cr
katen-ka-za [31]

Answer:

9/56

Step-by-step explanation:

\frac{1}{2}  +  \frac{2 }{7}  -  \frac{5}{8 }  =  \frac{9}{56}

6 0
4 years ago
Read 2 more answers
How do I find the answer for 1/2 of 3/5
Tems11 [23]
The answer is 0.3. To find this answer, <span>1/2 / 3/5 = <span>56</span> ≅ 0.8333333</span>
7 0
4 years ago
A line passes through the points A(-1,7) and B(1,3). Write an equation fo this line
Sunny_sXe [5.5K]

Answer:

y = -2 + 5. Step-by-step explanation: To find the equation of a line when you only have two points you need to use the slope formula

Step-by-step explanation:

6 0
3 years ago
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