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Answer:

x = 4.65 or x = -0.65 (to 2 d.p)

Step-by-step explanation:

To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c

To solve this:

x has 2 solutions

x = 2 + √7 or x = 2 - √7

x = 4.65 or x = -0.65 (to 2 d.p)

Hope this helps!

Answer:

x = 4 ± 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x - 32 = 0 ( add 32 to both sides )

x² - 8x = 32

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 32 + 16

(x - 4)² = 48 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± 4[tex]\sqrt{3}[/tex]

Answer:

A and C :)

Have an amazing day!!

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One of the vectors is 0.......

the scale of the airplane is 1/3 the size of its counter part

Answer:

140

Step-by-step explanation:

A semicircle is 180 degrees

7/9x180=140

Answer: 7/9 degrees = 0.00216 cir

Step-by-step explanation:

The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)

Answer:

find the angle of the 90 and divide by 5

Step-by-step explanation:

Answer:

75/120 = 15/24 = 5/8

Step-by-step explanation:

3 + 5 = 8 There are 8 parts

120 / 8 = 15

15 X 5 = 75

There are 75 sheeps with 2 lambs

The total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].

To find the fraction of the sheep who have lambs on farm A have 2 lambs, we need to have the total number of sheep having 2 lambs in farm A.

How to determine the fraction of sheep?

According to the question, the ratio of the sheep having 1 lamb and 2 lambs is [tex]3:5[/tex] and the total number of sheep is 120.

So, the total number of sheep having 2 lambs in farm A is calculated as-

[tex]L_2=\dfrac{5}{3+5}\times 120\\=5\times 15\\=75[/tex]

Now, the fraction of the total number of sheep having 2 lambs in farm A is-

[tex]F=\dfrac{75}{120}\\=0.625[/tex]

Thus, the total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].

Learn more about fractions here- https://brainly.com/question/10354322

#SPJ2

Answer:

(a) 10 seconds

(b) 490 meters

Step-by-step explanation:

When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.

0 = 4.9(10+t)(10-t)

0 = (10+t)(10-t)

t = 10, -10

Since time cannot be negative, t = -10 will be rejected.

Therefore, t = 10 seconds

Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.

h(0) = 4.9(10+0)(10-0)

= 4.9(100)

= 490 meters

Answer:

a, c, d

Step-by-step explanation:

This is because there share the same answer:

12x + 6

hope this helps =)

Answer:

$5100.

Step-by-step explanation:

2% annual interest is the same as multiplying a number by 0.02, then adding that number to the original number. Using this information, we can do the following steps:

You will have $5100 at the end of the year.

Answer:

$5100

Step-by-step explanation:

$5000 is put into the account originally. If you multiply this number by 0.02 you will get your answer. All the best. -Crispin

Answer:

81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81

Answer:

1/x + 6 = 2/3

x is the number, so there it has to be switched if a reciprocal happens. :) hope this helps

Answer:

d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Fractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:

For 1 cup of flour = (2 1/2)/(8 3/4)

For 1 cup of flour = (5/2)/(35/4)

For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye

For 11 cups:

For  11 cup of rye flour = 11 * 2/7

11 cup of rye flour = 22/7=3 1/7 cups

Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Learn more on ratio and proportion here:https://brainly.com/question/2914376

Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

Answer:

reason

1. symmetrical property

sides can be interchanged and its still true

statement

1. if triangle kjm is congruent to klm

then klm is congruent to klm

reason

2. reflexive property

triangle is congruent to itself

statement

2. triangle kjm is congruent to triangle kjm

reason

3. transitive property

if the 1st 2 triangles are congruent to each other and congruent to a third

then the first triangle is congruent to the third triangle

statement

3. if kjm is congruent to klm and

klm is congruent to abc then

kjm is congruent to abc

Answer:

5 students did.

Step-by-step explanation:

20 students. 1/4 of 20 is 5

Answer:

the top answer should be stretched

Answer:

15

Step-by-step explanation:

from equation y= mx+c

we can equate m (slope/gradient) to 15

Answer:

X=−8+3x

y=−5+x

Step-by-step explanation:

Answer:

[tex]\tt x=-2[/tex]

Step-by-step explanation:

[tex]\tt -3(x + 5) = -9[/tex]

Step (1) :- Distribute

[tex]\tt -3x-15=-9[/tex]

Step (2) :- Add 15 to both sides

[tex]\tt -3x-15+15=-9+15[/tex]

Step (3) :- Simplify

[tex]\tt -3x=6[/tex]

Step (4) :- Divide both sides by -3:-

[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]

[tex]\tt x=-2\;\; \bf Answer[/tex]

____

[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]

Let's solve the given problem step by step :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

First, distribute the given problem :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]

Add 15 to both sides :

[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]

[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]

On simplifying :

[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]

[tex] \sf:\implies \quad - 3x = 6[/tex]

Dividing both sides with same factor :

[tex] \sf:\implies \quad - 3x = 6[/tex]

[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]

[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation: