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3 years ago

Solve for x. Show the equation you used and your work.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

4 0

Solution:

From the given figure , Triangle TVW and triangle TSU are silmilar triangles.

From the property of similar triangle, ratio of corresponding sides of similar triangles are equal.

Which means ratio of corresponding sides of triangle TVW and TSU are equal

That is,

$=>\frac{ TS}{TV} =\frac{ TU}{TW}\\\\=>\frac{ TV+VS}{TV} =\frac{ TW+WU}{TW}\\\\=>\frac{ 14+6}{14} = \frac{ 21+x+4}{21}\\\\=>\frac{ 20}{14} = \frac{ 25+x}{21}\\=>25+x = \frac{ 20 *21}{14} = 30\\=> x= 30-25=5$

Hence, x = 5.

kirza4 [7]3 years ago

3 0

ST/VT = UT/WT6+14/14 = (x+4)+21/21X= 20*21/14 - 21x=420/14-25X=30-25x=5

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Lorico [155]

(3+11i)/(3+11i)=1

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3 years ago

Which expression 3- (-5) ?<br><br><br><br> Plz help me i need this

Anarel [89]

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8 0

3 years ago

Read 2 more answers

I’m confused?????????

QveST [7]

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

(x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = $\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5$

∴ m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

6 0

3 years ago

F(x) = 4x² – 17x+3

Svet_ta [14]

Answer:

discriminant: 241

2 real roots

Step-by-step explanation:

The discriminant is the part of the quadratic equation that is under the sqare root

x=(-b±√(b²-4ac))/2a

discriminant: b²-4ac

We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.

a=4

b=-17

c=3

(-17)^2-4(4)(3)

We also know that if the discriminant

is positive we have 2 real roots

is 0 we have 1 real root aka a repeated real solution

is negative we have no real roots

8 0

3 years ago

When x=2 and y=4, by how much does the value of 4x^2 - y exceed the value of 3x^2 - 3y

kakasveta [241]

Step-by-step explanation:

4(2)² - 4 =

4(4) - 4 = 12

3(2)² - 3(4)

3(4) - 12

12 - 12 = 0.

It exceeds the value by 12 :)

6 0

2 years ago