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3 years ago

What is the value of x

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

The answer is B. 68˚

The sum of the angles in a triangle is 180˚, so to find x just subtract 75 and 37 from 180

180-75-37=x

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Jacob deposited $75 into his banking account on Tuesday. What integer represents his account on Tuesday?

Romashka-Z-Leto [24]

Positive 75 I believe

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3 years ago

How many thirds are in 3 wholes

PilotLPTM [1.2K]

9 thirds, there a three thirds in each whole

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4 years ago

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The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?

Archy [21]

Comparing x-1 with x-a then x=1
1^3+p*1^2-1-2=0
1+2p-3=0
2p=3-1
P=2/2
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:.p=1

5 0

3 years ago

11x+4y=-46<br> 7x-4y=10 <br> Find x and y

UNO [17]

Answer:x=-2 y=-6

Step-by-step explanation:

11x+4y=-46..........(1)

7x-4y=10..............(11)

Add (1) and (11)

11x+7x+4y-4y=-46+10

18x=-36

Divide both sides by 18

18x/18=-36/18

x=-2

substitute x=-2 in (11)

7x-4y=10

7(-2)-4y=10

-14-4y=10

Collect like terms

4y=-14-10

4y=-24

Divide both sides by 4

4y/4=-24/4

y=-6

3 0

3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin4t,sin7t,9t⟩,r(0)=⟨9,8,3⟩

Makovka662 [10]

$\mathbf r'(t)=\langle\sin4t,\sin7t,9t\rangle$
$\implies\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$
$\mathbf r(t)=\displaystyle\left\langle\int\sin4t\,\mathrm dt,\int\sin7t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$
$\mathbf r(t)=\left\langle-\dfrac14\cos4t+C_1,-\dfrac17\cos7t+C_2,-\dfrac92t^2+C_3\right\rangle$

With $\mathbf r(0)=\langle9,8,3\rangle$ , we have

$\langle9,8,3\rangle=\left\langle-\dfrac14+C_1,-\dfrac17+C_2,C_3\right\rangle$
$\implies C_1=\dfrac{37}4,C_2=\dfrac{57}7,C_3=8$
$\implies\mathbf r(t)=\left\langle-\dfrac14\cos4t+\dfrac{37}4,-\dfrac17\cos7t+\dfrac{57}7,-\dfrac92t^2+8\right\rangle$

6 0

4 years ago