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3 years ago

How do you solve addition equations using models?

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

Show blocks as addends and the sum as a bigger block

Step-by-step explanation:

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Help on 9 & 10 please!

Mandarinka [93]

Step-by-step explanation:

9. x and z are equal. y+z=90

148-x=180 x+148 are supplementary

-148 -148 Subtract 148 from both sides to isolate x

x=32 degrees

z=32 degrees b/c x and z are equal

y+z=90 y and z are complementary

y+(32)=90 Substitute 32 in for z

-32 -32

y =58 degrees

10. (4x-25)=(2x+7) B/c of the bisection, the two angles are equal.

4x-25 =2x+7 Remove parenthesis

-2x -2x Subtract 2x from both sides

2x-25 = +7

+25 +25 Add 25 to both sides to isolate x

2x = 32

/2 /2 Divide both sides by 2 to isolate x

x = 16

(4(16)-25)+(2(16)+7)=78 degrees Substitute 16 into the equation, this time adding the values instead of setting them equal to get the angle measure requested.

11. (6x-47)+(x+4)=90 Angles that are complementary add up to 90 degrees

7x-43 =90 Add like terms

+43 +43 Add 43 to both sides to isolate x

7x =133

/7 /7 Divide both sides by 7 to isolate x

x =19

((19)+4)=23 degrees Substitute x into the angle measure requested

12. 180=2x-9+x Use the words to help you determine what each value is.

180=3x-9 Add like terms

+9 +9 Add 9 to both sides to isolate x

189=3x

/3 /3 Divide both sides by 3 to isolate x

63=x

2(63)-9=177 degrees Substitute 63 into x to find the requested angle measure.

3 0

2 years ago

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and W denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

3 years ago

1. Find the angle for insurance and taxes

Naddika [18.5K]

Answer:

3+3+5+16+28+22=77

100-77=23% for insurance and taxes

23/100 x 360= 82.8 degrees

If clothing is 3%, do that % over 100 x $40,000 to get how much spent.

3/100 x 40000= $1200 on clothes

6 0

2 years ago

Line t has a slope of -9/2 line u is parallel to t what is the slope of u

erik [133]

Answer:

the slope of the parallel line would also be -9/2

Step-by-step explanation:

5 0

3 years ago

Please help I’ll mark you as brainliest if correct!

schepotkina [342]

Increases by +2
Its arithmetic
Sixth number would be 17+2=19
Seventh is 19+2=21
Eighth is 21+2=23

6 0

2 years ago

Read 2 more answers