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3 years ago

Point Q is on line segment PR. Given QR= 2x + 4, PQ = x, and

Mathematics

1 answer:

34kurt3 years ago

8 0

Answer:

Step-by-step explanation:

Point P is on line segment

‾

. Given

OP=6,

−

OQ=4x−3, and

PQ=3x, determine the numerical length of

‾

Label known information:

OQ = 4x – 3

OP+PQ=

6+3x=

−

4x−3

−

−4x=

−

−4x

−

−x+6=

−

−3

−

−6=

−

−6

−

−x=

−

−9

−

−1

−x

−

−1

−9

Plug in value of

to find

Plug in value of x to find OQ:

−

(

)

−

OQ=4x−3=4(9)−3=33

You can plug

into each expression:

You can plug x into each expression:

3(9)

OQ = 4(9) – 3

Simplify:

OQ = 33

Final Answer:

OQ=33

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Answer:

Idaho

Step-by-step explanation:

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3 years ago

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
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Therefore, the solutions are (6,38) or (-3,11)

7 0

3 years ago

Can some one explain in an easy way pls

Helga [31]

What needs to be done first is to add up females and males that have passed.

42 + 14 = 56

so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75

out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

NOW WE ARE DOING FAILS.

15 + 5 = 20

so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75

out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

i hope this helped! :)

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3 years ago

Triangle ABC and triangle PQR each have two sides whose lengths are 7 and an angle whose measure is 40. Are the triangles congru

Elena L [17]

Step-by-step explanation:

they could be but it doesnt say where the angle is so there isn't enough information to tell if they are congruent. answer is no

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Gelneren [198K]

Answer:

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