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3 years ago

What is -4+5x-17-22x simplified by combining like terms?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer:

-17x - 21

Step-by-step explanation:

-4 + 5x - 17 - 22x

(-4 - 17) + (5x - 22x)

(-21) + (-17x)

-17x - 21

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Factor the expression.

givi [52]

Factors 5x are absolutely correct
Explanation

4 0

3 years ago

99.1 times 11.2 estimate

Vladimir [108]

To estimate:

99.1 can be approximated by 100-1%

11.2 can be approximated by 11.1+1%

So 99.1*11.2 can be approximated by (100*11.1)-1%+1%=1110

3 0

3 years ago

Bhaskar went for hiking with scouts’ team and there the scouts were given a task to build tents with the help of bamboos, ropes

dimulka [17.4K]

The triangles on Bhaskar's tent are similar triangles.

The length of IJ is 4.5 m
The applicable theorem is the mid-point theorem
The appropriate formula for area is the Heron's formula
The ratio of ABC to DEF is 1 : 9

(a) The length of IJ

The given parameter are:

$\mathbf{EF = 9m}$

I and J are at the midpoint of DE and DF

The above highlight means that

$\mathbf{IJ= \frac 12 \times EF}$ --- midpoint theorem

Substitute 9 for EF

$\mathbf{IJ= \frac 12 \times 9m}$

$\mathbf{IJ= 4.5\ m}$

(b) The property used to find GH and IJ

In (a), the midpoint theorem is used to calculate IJ

GH and IJ are corresponding sides of similar triangles,

So the midpoint theorem can also be used to calculate the length of GH

(c) The area of the triangle

For the given triangles, the lengths of the sides are known.

When side lengths are known, the formula to use for finding the triangle's area is the Heron's formula.

The Heron's formula is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

Where:

$\mathbf{s = a + b + c}\\\mathbf{a,b,c \to sides\ of\ the\ triangle}$

(d): The ratio of the areas:

For the small triangle, we have:

$\mathbf{a= 3.8,\ b = 4,\ c = 3}$

So, we have:

$\mathbf{s = 3.8 + 4 + 3 = 10.8}$

So, the area is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

$\mathbf{A_{small} = \sqrt{10.8 \times (10.8 -3.8) \times (10.8 - 4) \times (10.8 - 3)}}$

$\mathbf{A_{small} = \sqrt{4009.824}}$

For the big triangle, we have:

$\mathbf{a= 11.4,\ b = 12,\ c = 9}$

So, we have:

$\mathbf{s = 11.4 + 12 + 9 = 32.4}$

So, the area is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

$\mathbf{A_{big} = \sqrt{32.4 \times (32.4 -11.4) \times (32.4 - 12) \times (32.4 - 9)}}$

$\mathbf{A_{big} = \sqrt{324795.744}}$

The ratio of the small triangle to the big triangle is:

$\mathbf{Ratio = A_{small} : A_{big}}$

$\mathbf{Ratio = \sqrt{4009.824}:\sqrt{324795.744}}$

Divide by 4009.824

$\mathbf{Ratio = \sqrt{1}:\sqrt{81}}$

Take square roots

$\mathbf{Ratio = 1 : 9}$

Hence, the ratio of ABC to DEF is 1 : 9

Read more about similar triangles at:

brainly.com/question/24874611

7 0

3 years ago

You are now a teacher, and you notice that many of your students are consistently making the dividing-out mistake that appears b

Serhud [2]

x to the 2nd power plus 3x-4

x to the 2nd power minus 2x-8

1. The dividing out method my seem like the thing to do but really you to to combine like terms on the top and the bottom so the top an the bottom should become 3x to the 2nd power plus (-4) over 2x to the 2nd power minus (-8) since you can only divide 3x to the 2nd power and 2x to the 2nd power your answer would become 3-4 over 2-8 because both x to the 2nd power cancelled each other out now minus the top and the bottom and the answer would be -1 over -6

2. for example (4)(6) over 4 plus 6 it would be hard to divide this because you the top and the bottom equations have not been solved yet, but when you do solve them your answer would be 24 over 10 but you cant divide these evenly and when you do try to divide them you would get a decimal or 2.4 also your answer word be an improper fraction 24/10 which could change into 2 4/10nso i don't think is would be easy to divide in order not to make this mistake always make sure both the top and bottom equations are solved and make sure you can divide them

3.a one thing i always remember is the equation solved yet i so can i divide

3.b What is the dividing out method can it be used for the following equation (3+4x) to the 2nd power over (4-2x) to the 2nd power.

6 0

3 years ago

45h + 1895 = 5000 What is the value of H

dimaraw [331]

Answer:

Step-by-step explanation:

45*69+1895=5000

7 0

2 years ago

Read 2 more answers