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Snezhnost [94]
3 years ago
12

Solve the given equation. State the number and type of roots. x² + 3x- 4

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer:(x+4)*(X-1)

Step-by-step explanation:

Into two binomial ( x + 4) x ( x -1)

Explanation:

The equation in the

A

x

2

+

B

x

+

C

The C is negative which indicates that one binomial will be negative and one binomial will be positive.

The B is positive which indicates that the positive binomial will be larger than the negative binomial

The B is +3 which tells that the difference in the two factors is 3

so

(x+4)*(X-1)

sesenic [268]3 years ago
4 0

Answer:

x=1, x=-4

Two distinct real roots

Step-by-step explanation:

x² + 3x- 4 = (x - 1)(x + 4)

x=1, x=-4

Two distinct real roots

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The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600
Julli [10]

Answer:

  6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

   21000 = 3400t +600

You can solve this for t:

  20400 = 3400t . . . . . subtract 600 from both sides

  6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

  The plane is at an altitude of 21000 feet 6 minutes after lift off.

4 0
2 years ago
The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s
Zolol [24]
Find the area of the cone:
Area of cone: ⅓r^2h
⅓r^2h
= ⅓(3.5)^2(7)
= ⅓(12.25)(7)
= 1/3(85.75)
= 85.75/3
1/3 cup sloshed out:
(85.75/3 )/3
= 29.9 cubic cm
7 0
2 years ago
Y-2=-3(x-7) written in standard form
uysha [10]
Y=2-3(x-7)
You just add +2 to each side and the positive and negative cancel out and it switches it over
8 0
3 years ago
Multiply (2x^3 + 1)(5x^2 +4) and write your result in simplest form.
tatyana61 [14]
(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4

8 0
3 years ago
What is the measure of WUX in Circle V ?
Alja [10]

Answer:

arc\ WUX=120^o

Step-by-step explanation:

<u><em>The complete question is:</em></u>

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

m\angle WXZ=30^o\\m\angle WXV=m\angle WXZ

so

m\angle WXV=30^o

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle\ WVX+m\angle XWV+m\angle WXV=180^o

substitute the given values

m\angle WVX+30^o+30^o=180^o\\m\angle WVX=180^o-60^o=120^o

step 3

Find the measure of arc WUX

we know that

arc\ WUX=m\angle WVX ----> by central angle

we have

m\angle WVX=120^o

therefore

arc\ WUX=120^o

4 0
3 years ago
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