List all info given by the marks on the diagram.

Step-by-step explanation:

Since the the two angles are complementary, then

[tex](3x + 2) + (5x - 14) = 90[/tex]

or

[tex]8x - 12 = 90 \Rightarrow 8x = 102[/tex]

[tex]x = 12.75[/tex]

so

[tex]\angle{YXZ} = 5(12.75) - 14 = 49.75°[/tex]

9514 1404 393

Answer:

  g(f(4)) = -1

Step-by-step explanation:

Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.

  g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5

  g(f(4)) = -1

Answer:

D. 6+2m​

Step-by-step explanation:

times means multiplication.

more than means addition.

6 + 2 * m

6 + 2m

Best of Luck!

Answer:

4pqr

Step-by-step explanation:

because pqr is 1pqr

so 1pqr + 3pqr is

4pqr

Answer:

-4

Step-by-step explanation:

7w + (-11w)

Postive negative negative

7w-11w

= - 4

Answer:

(-1;3)

(3 - 5)/2 = -1

(-2 + 8)/2 =3

Midpoint of segment (3, -2) and (-5, 8) is (-1, 3).

The midpoint formula allows us to find the point that lies exactly halfway between two given points on a line segment. For two points represented as (x₁, y₁) and (x₂, y₂), the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) is calculated using the formula:

[tex]x_m[/tex] = (x₁ + x₂) / 2

[tex]y_m[/tex] = (y₁ + y₂) / 2

Now, let's apply this formula to find the midpoint of the segment with endpoints (3, -2) and (-5, 8):

x₁ = 3, y₁ = -2

x₂ = -5, y₂ = 8

[tex]x_m[/tex] = (3 + (-5)) / 2 = (-2) / 2 = -1

[tex]y_m[/tex] = (-2 + 8) / 2 = 6 / 2 = 3

So, the midpoint of the segment is (-1, 3).

In this explanation, we used the midpoint formula, represented by the subscript "m," to find the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) of the segment with endpoints (x₁, y₁) and (x₂, y₂). By substituting the given coordinates into the formula, we computed the x-coordinate and y-coordinate separately. The midpoint gives the exact center of the segment, dividing it into two equal parts. In this case, the midpoint lies at (-1, 3), which is indeed the point that is equidistant from both (3, -2) and (-5, 8) on the line segment.

To know more about Midpoint here

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Step-by-step explanation:

9x-8=64

plss mark brainliestt

Answer:

Answer: 2

Step-by-step explanation:

[tex] \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ [/tex]

express the mixed fraction into proper fraction:

[tex] { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}[/tex]

then solve simplify:

[tex] = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ [/tex]

solve the bracket:

[tex] = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)[/tex]

then simplify:

[tex] = \frac{2 \times 3}{3} \\ \\ = 2[/tex]

Answer:

700

Step-by-step explanation:

280÷4=70  or you could do 28÷4=7 then add the 0's afterword.

70•10= 700

91 ÷ 8645 = 1 ÷ (8645 ÷ 91) =

9 5 r 0

9 1 | 8 6 4 5

– 8 1 9

_____________

4 5 5

− 4 5 5

0

Thus 91 ÷ 8645 = 1 / 95 r 0

Answer:

3x³+10x²-8x-2

Step-by-step explanation:

(-3x³+7x²-8x+11)-(-3x²+13)

-3x³+7x²-8x+11-(-3x²+13)

-3x³+10x²-8x+11-13

-3x³+10x²-8x-2

Answer:

Step-by-step explanation:

6 7 8 is one possibility

789 is another choice.

123 even works.

So how many numbers are there like this?

You can't have 0 in the 100s place and you can't have 8 0r 9

So there are 7 numbers 1 2 3 4 5 6 7 possible choices for the hundreds.

You can't 0  in the tens place nor 1 nor 9

You  can't have 0 or 1 or 2 in the units place

In all I think you could write 84 such numbers.

Answer:

i got u

Step-by-step explanation:

The path between each building is an illustration of Pythagoras theorem.

See attachment for a copy of the given image.

The sidewalk between library and humanities

This is represented with (a).

The value of (a) will be calculated using Pythagoras theorem.

So, we have:

[tex]a^2 = 15^2 + 15^2[/tex]

[tex]a^2 = 450[/tex]

Take square roots

[tex]a = 21.21[/tex]

Sidewalk between chemistry and library

This is represented with (d).

First calculate the value of (b) and (c)

[tex]c + 15 = 30[/tex]

So:

[tex]c = 15[/tex]

Also:

[tex]b + 15 = 40[/tex]

So:

[tex]b = 25[/tex]

The value of (d) will be calculated using Pythagoras theorem.

[tex]d^2 = b^2 + c^2[/tex]

[tex]d^2 = 25^2 + 15^2[/tex]

[tex]d^2 = 850[/tex]

Take square roots

[tex]d = 29.15[/tex]

The sidewalk between chemistry and humanities

This is represented with (e).

The value of (e) will be calculated using Pythagoras theorem.

[tex]e^2 = d^2 + a^2[/tex]

[tex]e^2 = 850 + 450[/tex]

[tex]e^2 = 1300[/tex]

Take square roots

[tex]e = 36.06[/tex]

Learn more about Pythagoras theorem at:

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Answer:

44

Step-by-step explanation:

Put in the terms.

8(5)+4

Multiply 8x5

40+4

Add

44

Answer:

44. if a = 5 and b = 4 then 8a = 8(5). 8(5) = 40. 40 + (4) = 44. hope this helps

Step-by-step explanation:

- Zombie

Answer:

64 and 100 are the squares

Answer:

[tex]8^{2} = 8*8=64\\10^{2} = 10*10=100[/tex]

Step-by-step explanation:

Hope it helps,... Chow,...!

Answer:

{-9,-8,-7,-6,-5}

Step-by-step explanation:

Set C is negative Integers greater than -10

{-9, -8, -7, -6, -5, -4, -3, -2, -1}

Elements less than or equal to -5

{-9, -8, -7, -6, -5}

9514 1404 393

Answer:

  x = {-2/5, 2 2/3}

Step-by-step explanation:

There are several ways you can solve this. Maybe the simplest is to take advantage of the relation ...

  [tex]\sqrt{x^2}=|x|[/tex]

Squaring the absolute value expression on both sides gives ...

  (4x -3)^2 = (x +5)^2

  15x^2 -34x -16 = 0 . . . . rewrite to standard form

  (5x +2)(3x -8) = 0 . . . . . factor

  x = -2/5, +8/3

__

Check

To determine if one of these solutions is extraneous, we can try them both in the original equation. We find they both satisfy the equation, so neither found solution is extraneous.

For x=-2/5, |4(-2/5)-3| = |-2/5 +5|  ⇒  |-4 3/5| = |4 3/5| . . . . true

For x = 8/3, |4(8/3) -3| = |8/3 +5|  ⇒  |(32 -9)/3| = |(8 +15)/3| . . . . true

_____

Additional comment

Often, we solve absolute value equations using piecewise functions:

  |4x -3| = {4x -3, for x ≥ 3/4; -4x +3, for x < 3/4}

  |x +5| = {x +5, for x ≥ -5; -x -5, for x < -5}

Now, we have three regions in which to look for solutions: (-∞, -5], [-5, 3/4], [3/4, ∞).

In the region (-∞, -5], the equation is ...

  -4x +3 = -x -5   ⇒   x = 8/3 . . . . . no solution in the region

In the region [-5, 3/4], the equation is ...

  -4x +3 = x +5   ⇒   x = -2/5 . . . . . a solution in the region

In the region [3/4, ∞), the equation is ...

  4x +3 = x +5   ⇒   x = 8/3 . . . . . . a solution in the region

Note that this last equation is identical to the equation for the region (-∞, -5] with both sides multiplied by -1.

Effectively, we have found the two solutions to ±(4x -3) = (x +5). The trick is to figure whether either of those solutions lies in the region for which the respective equation is defined.

Answer:

3 packs of pencils

5 packs of erasers

Step-by-step explanation:

To solve this problem, find the least common multiple. The least common multiple is the smallest number that both terms are a factor of. In this case, that number is 30. Both 10 and 6 are a factor of 30. So, the answer is the other factor needed to get 30 through multiplication. 10's other factor is 3 and 6's other factor is 5. Therefore, the answers are 3 and 5 respectively.

Answer:

The actual change in the car's value is $[tex]1700[/tex] and the relative change is [tex]7.20[/tex]%.

Step-by-step explanation:

It is given that the value of a car is dropped from $[tex]23600[/tex] to $[tex]21900[/tex].

So, the change in the value is the drop in the value of car, which is, [tex]23600-21900=1700[/tex].

So, the actual change in this car's value is $[tex]1700[/tex].

The relative change can be given by the expression,

[tex]\dfrac{\:\rm{Actual Change}}{\:\rm{Original Value}}\times100[/tex]

Substituting values, the relative change can be given by,

[tex]\begin{aligned}\dfrac{1700}{23600} \times 100&=\dfrac{1700}{236}\\&=7.20\end{aligned}[/tex]

Step-by-step explanation:

the rate of change (like the slope for a line) is expressed by y/x.

for x = -1 we get y = -3

for x = 3 we get y = 5

so, while x changes by 4 units (-1 to +3), y changes by 8 units (-3 to +5).

so, the average change rate in that interval is 8/4 = 2/1 = 2

Answer: