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maw [93]
3 years ago
10

What is the value of f(-4)

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Substitute x = -4 :

f(-4) =  3 - (-4)

= 3 + 4

= 7

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. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
ValentinkaMS [17]

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

We can say that two triangles are congruent using these 5 rules:

1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.

2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.

3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.

4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.

5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

Example:-From the diagram, given that:

AB = DE, BC = EF and ∠B = ∠E

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

Find out more on congruent triangles at:

brainly.com/question/2644832

#SPJ1

6 0
2 years ago
A family has a monthly budget of $2,400. How much money is spent on each category? 44% is spent on housing. 23% is spent on food
Lunna [17]

Answer:

  • housing, $1056
  • food, $552
  • transportation, $408
  • savings, $240
  • clothing, $144

Step-by-step explanation:

Multiply the budget total by the percentage for each category:

  • housing: 44% × $2400 = $1056
  • food: 23% × $2400 = $552
  • clothing: 6% × $2400 = $144
  • transportation: 17% × $2400 = $408
  • savings: 10% × $2400 = $240

__

Find "the rest" by subtracting the total of percentages from 100%, or by subtracting the total of budget categories from $2400. Here, everything (not including savings) adds to 90% × $2400 = $2160, so the amount to savings is 10%, or $240.

6 0
3 years ago
Select the correct answer from each drop-down menu
Yakvenalex [24]

Answer:

First row. = -393 74 287

Second row = 471. 162 91

Third row =251 222 - 349

Step-by-step explanation:

For the first row

Cofactor of 12= (-8*15)-(21*13)

= -120-273

= -393

Cofactor of 23 = (11*15)-(7*13)

= 165-91

= 74

Cofactor of -6 = (11*21)-(-7*8)

= 231+56

= 287

For the second row

Cofactor of 11 = (23*15)-(21*-6)

= 345+126

= 471

Cofactor of -8 = (12*15)-(7*-6)

= 120 + 42

= 162

Cofactor of 13 (12*21)-(23*7)

= 252-161

= 91

For third row

Cofactor of 7= (23*13)-(-8*-6)

= 299-48

= 251

Cofactor of 21 = (12*13)-(11*-6)

= 156+66

=222

Cofactor of 15 = (12*-8)-(11*23)

= -96 - 253

=- 349

8 0
3 years ago
Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a
Aloiza [94]

Answer:    

   \frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

Step-by-step explanation:

Given equation is x^{3}+y^{3}+z^{3}=3xyz ………………(1)

we use derivative formula \frac{d}{dx}(x^{n})  = n x^{n-1}

\frac{d}{dx}(x^{3)}  = 3 x^{2}

\frac{d}{dx}(z^{3)}  = 3 z^{2}

And also apply 'u v' formula

\frac{d}{dx}(uv})  = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)

Differentiating  equation (1) partially with respective to 'x' , we treated 'y' as constant.

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))   ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)

again simplification, we get

3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}

taking common '\frac{∂z}{∂x} on left on side , we get

(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}

dividing '(3z^{2}- 3yx) on both sides, we get

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

<u>Final answer</u>:-

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

6 0
3 years ago
How you could use the numerical value of slope to describe the slant and steepness of a line?
AfilCa [17]
A positive  value means the line is rising towards the right , a negative the line  is downwards to the right.

The higher the absolute value of the slope the steeper the line.
6 0
4 years ago
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