A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal? StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout.

Answer:

14 12 13 13 14 15 14 16 ,14 134444

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

hoooppe this helps <33333

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

We have,

[tex]\sf{HM = 5 cm }[/tex]

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

We have to find the measure of Angle MAT

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

We know that,

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Refer the above attachment for solution

Hence, Option A is correct

Both a and b

Hence, Option C is correct

In rhombus PALM,

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

Answer:

this might help

Step-by-step explanation:

Simplifying

2a + 4b + 6a + -3b = 0

Reorder the terms:

2a + 6a + 4b + -3b = 0

Combine like terms: 2a + 6a = 8a

8a + 4b + -3b = 0

Combine like terms: 4b + -3b = 1b

8a + 1b = 0

Solving

8a + 1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0

8a + 0 = 0 + -1b

8a = 0 + -1b

Remove the zero:

8a = -1b

Divide each side by '8'.

a = -0.125b

Simplifying

a = -0.125b

Answer:

x =  2 x = - 6

Step-by-step explanation:

2x^2 + 8x = 24

subtract 24 from both sides

(restar 24 de ambos lados)

2x^2 + 8x -24 = 0

find the common: 2

(encontrar lo común: 2)

2(x^2 + 4x - 12) = 0

2(x-2) (x+6) = 0

x = 2

x = - 6

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

14.55 out of 48.50 is 30%

Step-by-step explanation:

a. The number of cubical packets on the floor is 30.

b. the number of cubical packets in 10 layers is 300 layers.

Since the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,

So, L = ∛V = ∛1 cm³ = 1 cm

So, the sides of the cubes are 1 cm long

Also, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³

The number of cubical packets on the floor is 30.

So, the number of cubical packets required, n = volume of layer/volume of cubical packet

= 30 cm³/1 cm³

= 30

The number of cubical packets on the floor is 30.

The number of cubical packets in 10 layers is 300 layers.

If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer

= 10 × 30

= 300 layers.

So, the number of cubical packets in 10 layers is 300 layers.

Learn more about cubical packets here:

https://brainly.com/question/1279713

Answer: you again…

It’s half the height times a + b

(Top length and bottom length)

Step-by-step explanation: there you go

Answer:

around 400

Step-by-step explanation:

If the manager finds 8 defective clocks out of 200 that is a 4% chance of a clock being defective, so if there are 10,000 clocks produced 4% of that is 400

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

Answer:

So B is different

Step-by-step explanation:

A=3

B=300

C=3

D=3

Answer:

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

If no of sides be s

Measure of each exterior angle

Answer:

15:) hope this helps

Step-by-step explanation:

hope this helps...

Answer:

Step-by-step explanation:

Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

Answer:

9 bags and is this from a second-grade textbook?

Step-by-step explanation:

Answer:

9 bags

Explanation

all you have to do is divide 45 by 5 and you get 9.

Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

Answer:

2x+y=7

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 7 and passes through the point (1,5)
We want to write the equation of this line in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal zero, and a cannot be negative
To start, we can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are given that the y intercept is 7, so we can plug it in as b into the equation.
Here is the equation of the line so far:
y=mx+7
Now we need to find m

as the equation passes through the point (1,5) we can use it to help solve for b.

Substitute 1 as x and 5 as y into the equation.

5=m*1+7

Multiply

5=m+7

Subtract 7 form both sides

-2=m
Substitute -2 as m into the equation

y=-2x+7

This is the equation in slope-intercept form

However, remember that we aren't done, as the problem wants us to have the equation in standard form

In standard form, the terms containing x and y are on the same side; right now, they are on opposite sides.

So we can add -2x to both sides in order to move it to the left side

y=-2x+7

+2x +2x

______
2x + y = 7

This is the equation of the line in standard form.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/8829271

Answer:

1 and 1/5

Step-by-step explanation:

if you add the numerator and leave the denominator you'll get that its basically just 6/5

Answer:

[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].

Step-by-step explanation:

By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)

In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].

For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)

By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].

Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:

[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].

Simplify:

[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].

Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

Have a nice day! :)

Answer: 93.6 cubic inches

Step-by-step explanation:

Volume = lwh/2.

So V = (6 * 6 * 5.2)/2 = 93.6