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2 years ago

4. Write an equation that represents the line graphed below. CCP

Mathematics

2 answers:

AlekseyPX2 years ago

7 0

Represents the line graphed

neonofarm [45]2 years ago

3 0

Answer:

(2,-6)

Hey my answer could be wrong but i checked so i hope you think this is helpful!

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A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

2 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

taurus [48]

Answer:

10.5 ft

Step-by-step explanation:

In ΔQRS,

m∠S=90°
m∠R=29°,
SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

$Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)$

7 0

2 years ago

What is the unit rate for the ratio 100 points/ 4 games?

wlad13 [49]

Answer:c

Step-by-step explanation:

7 0

2 years ago

What value of x makes this equation true? 6x/-4=6(-1/2)<br> a) -2<br> b)2<br> c)3<br> d)-3

Yuri [45]

6x/-4 = 6(-1/2)
6x/-4 = - 3...multiply by -4
6x = -3 * -4
6x = 12
x = 2

7 0

2 years ago

Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai

Marizza181 [45]

let

r--------> Alvin's average paddling rate in km/hour

y -------> speed of the current in km/hour

we know that

speed= distance/time ------> solve for distance

distance=speed*time

to Campsite against the current

speed=r-y-----> speed=(r-3)

time=8 hours

distance=(r-3)*8------> equation 2

From Campsite with the current

speed=r+y-----> speed=(r+3)

time=3 hours

distance=(r+3)*3------> equation 1

equate equation 1 and equation 2-----> because is the same distance

(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour

therefore

the answer is

Alvin's average paddling rate is 6.6 km/hour

7 0

2 years ago