Solve the equation. Then check your solution.

x - 4 = 2
a.–6
c.7
b.6
d.–2



Please select the best answer from the choices provided


A
B
C
D

Answer:  D

Step-by-step explanation:

just did it

The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The hypotenuse of an isosceles right triangle has a length of 5 centimeters.

Now, We know that;

Two sides of an isosceles triangle are equal.

Let two equal sides of triangle = x

Hence, We get by Pythagoras theorem,

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ 5² = x² + x²

⇒ 25 = 2x²

⇒ x² = 25/2

⇒ x = √(25/2)

⇒ x = 5 / √2 cm

Learn more about the triangle visit;

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if 60 = c,

36 = m and

x is the missing length

c² = x . m

3600 = x . 36

x = 3600/36

x = 100

Answer:

17.y=-x+12

18.y=-1/4x+7

Step-by-step explanation:

17.a Solve for y (y=-5+x)

17. b Reciprocal (y=-1x-5)

17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)

18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope

18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.

18. c=y=-1/4x+7

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

Answer:

y=-4x

Step-by-step explanation:

Parallel to the line, slope is - 4. The equation of line is y=-4x

9514 1404 393

Answer:

  (0, 8)

Step-by-step explanation:

The y-value of the y-intercept is the function value when x=0. That is the constant in the equation, since x=0 will make all of the x-terms be zero.

  y-intercept = 8

Answer:

[tex]\bar x_{girls} = 46.25[/tex]

Step-by-step explanation:

Given

[tex]Boys = 7\\Girls = 16[/tex]

[tex]\bar x = 49[/tex]

Required

Mean of girls

The mean of the boys and girls is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

This gives:

[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]

So, we have:

[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]

[tex]49= \frac{387 + \sum(girls)}{23}[/tex]

Cross multiply

[tex]23 * 49=387 + \sum(girls)[/tex]

[tex]1127=387 + \sum(girls)[/tex]

Subtract by 387

[tex]1127-387 = \sum(girls)[/tex]

[tex]740= \sum(girls)[/tex]

[tex]\sum(girls) = 740[/tex]

The mean of girls is:

[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]

[tex]\bar x_{girls} = \frac{740}{16}[/tex]

[tex]\bar x_{girls} = 46.25[/tex]

Hello!

[tex] \bf 5 \sqrt{37} + \sqrt{98} - 3 \sqrt{147} [/tex]

[tex] \bf 5 \sqrt{37} + 7 \sqrt{2} - 21 \sqrt{3} [/tex]

I removed the factors from under the radical.

Good luck! :)

Answer:

1050 + (150)times the amount of jobs they do for you during that winter, for A. 0 + (200)times the amount of jokes they do for you during that winter, for B.

Step-by-step explanation:

Boom I would choose B because it would be cheaper, since we do most of the snow removal ourselves.

Answer:

B

Step-by-step explanation:

sin(theta) = perpendicular/hypotenuse

sin(34)=x/12

Answer:

360cm³

Step-by-step explanation:

Volume of a triangular prism = Base area * Height of prism

Height of prism = 15cm

Base area = 1/2 * 6 * 8

Base area = 24cm²

Volume of the prism = 15 * 24

Volume of the prism = 360cm³

​

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

[tex]b > 3\frac{2}{15}\\\\[/tex]

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality [tex]2 \frac{3}{5} < b - \frac{8}{15}\\\\[/tex] is the same as [tex]\frac{13}{5} < b - \frac{8}{15}\\\\[/tex]

---------------------

Let's multiply both sides by 15 to clear out the fractions

[tex]\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\[/tex]

---------------------

Now isolate the variable b

[tex]39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\[/tex]

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

Answer:

yes

Step-by-step explanation:

in parallelogram ,<A=<C

<C=<D

then <D=115=<C=115

X+115+30=180....TRIANGLE THEROME

X=35

so that,<A=65

<C=65

Answer:

$8

Step-by-step explanation:

Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:

4x = 32

To solve this you divide 4 into each side of the equation:

4x = 32

----   ----

4      4

x   =  8

The answer is 8.

Hope this helped.

The first hose pumps out water at a rate of

(161 gal)/(3 h) = 161/3 gal/h

The second hose fills the pool at a rate of

(161 gal)/(2 h) = 161/2 gal/h

Working together, they can fill the pool at a rate of

(161/3 + 161/2) gal/h = 805/6 gal/h

so that it would take

(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min

to fill the pool.

Answer: 169 square inches

Step-by-step explanation:

If the squares are placed side by side, then their perimeter will equal 8x, x being the length of one side

If we set that equal to the perimeter, we get 104=8x, and x=13

So 13 is the length of one side, and A=l x w so A=169 square cm

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

[tex] \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}[/tex]

-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.

3 m+ 12 = 15

⇔3 m=  3

⇔m=  1

Answer:

diameter of a circle

Step-by-step explanation:

Answer:

A diameter of a circle

Step-by-step explanation:

given the construction we have to choose the construction which uses the compass for only one step in addition to drawing circle itself . show a diameter of a circle only e uses one stay in addition to draw circle itself

Answer:  [tex]\frac{19}{6} : \frac{17}{6}[/tex]

Step-by-step explanation:

Let us first represent the ratio.

3[tex]\frac{1}{6} : \frac{17}{6}[/tex]

Now we need to convert 3[tex]\frac{1}{6}[/tex] into a improper fraction.

[tex]\frac{19}{6} : \frac{17}{6}[/tex]

Now it is in its simplest form.

The final answer is  [tex]\frac{19}{6} : \frac{17}{6}[/tex]

Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down

Answer:

24+p=t

Step-by-step explanation:

If he scored 24 points in the first half, and p in the next half, he scored a total of t points.

Answer:

The answer is "[tex]0.34 \pm 0.060[/tex]".

Step-by-step explanation:

Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]

For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]

Hence,

Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]

Therefore,

Confidence interval in the tri-equality form:

[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]

Confidence interval using point estimate and margin of error:

[tex]p = 0.34 \pm 0.060[/tex]

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Answer:

yes

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."